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IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 9, SEPTEMBER 2014 1905 An X-Band Radar Transceiver MMIC with Bandwidth Reduction in 0.13 μm SiGe Technology Jianjun Yu, Feng Zhao, Joseph Cali, Fa Foster Dai, Fellow, IEEE, Desheng Ma, Member, IEEE, Xueyang Geng, Senior Member, IEEE, Yuehai Jin, Yuan Yao, Xin Jin, J. David Irwin, Life Fellow, IEEE, and Richard C. Jaeger, Life Fellow, IEEE Abstract—This paper presents an X-band chirp radar trans- ceiver with bandwidth reduction for range detection. The radar transceiver includes a super-heterodyne receiver including an ADC, a direct-digital synthesizer (DDS) based transmitter and a phase-locked loop (PLL) synthesizer. In a modied Weaver architecture, the down-converted baseband signal is further mixed with another chirp signal through stretch processing. The resulting waveform bandwidth is greatly reduced and thus relaxes the power and bandwidth requirements of the on-chip ADC. Therefore, the proposed radar transceiver achieves power and bandwidth reductions without degrading its range resolution. The radar-on-chip (RoC) MMIC was implemented in a 0.13 μm SiGe technology with die area of 3.5 × 2.5 mm 2 . With a 2.2 V supply for analog/RF circuits and a 1.5 V supply for the digital portion, the chip consumes 326 mW in the receive mode and 333 mW in the transmit mode, respectively. Index Terms—Chirp, DAC, DDS, FM, PLL, PM, SiGe, stretch processing, radar, receiver, transmitter. I. INTRODUCTION I NTEGRATED radar transceivers have been recently explored for ranging detection in mobile environments [1]–[9]. Pulse radar and ultra-wideband (UWB) radar require high peak-to-average power ratios (PAPR) or wideband op- eration to transmit or receive narrow pulse signals [1]. The direct-conversion receiver topology is popular in frequency modulated continuous wave (FMCW) radars due to its simple architecture and low cost for both area and power [2], [3]. The heterodyne receiver architecture is known as the most reliable reception technique due to its excellent sensitivity and selec- tivity. Applying an off-chip surface acoustic wave (SAW) lter eliminates the out-of-band interferences. In voltage-controlled oscillator (VCO)-based and analog PLL-based FM radars, the chirp signal is generated at the VCO output [1]–[5]. Therefore chirp signal mixing occurs at the radio frequency (RF) band. Our DDS-based chirp radar generates the chirp signal in the baseband. Thus chirp signal processing is done in the receiver baseband, which relaxes the design requirements for the signal processing circuitry and reduces power consumption [6]. When compared with VCO and PLL-based chirp radars, the DDS Manuscript received December 28, 2013; revised March 07, 2014; accepted March 11, 2014. Date of publication April 29, 2014; date of current version August 21, 2014. This paper was approved by Guest Editor Albert Wang. The authors are with the Department of Electrical and Computer Engineering, Auburn University, Auburn, AL 36849 USA. Color versions of one or more of the gures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identier 10.1109/JSSC.2014.2315650 based RoC is featured with fast modulation, ne frequency steps, and a exible output frequency range, especially in gen- erating the baseband chirp signal [10]. The relative delay, the frequency slope and the initial phase of the transmitted chirp are all programmable and controllable, which adds exibility to the design of these radar systems. In pulse-compression radars, the narrow width pulse is recov- ered after pulse decompression in the receiver. A narrow pulse width in the time domain corresponds to a wide bandwidth in the frequency domain. Since the radar range resolution is inversely proportional to the transmitted bandwidth, it is thus desirable to transmit the chirp waveform with as wide a bandwidth as pos- sible. Recently, ultra-high-speed DDS monolithic microwave integrated circuits (MMICs) have become capable of generating waveforms with ultra-wide bandwidth [11]. However, receiving and processing the received signal with such a wide bandwidth imposes tremendous challenges upon the receiver circuits, e.g., the design of the ADC. The proposed RoC transceiver with stretch processing mixes the received chirp signal with a stretch chirp signal, resulting in a much reduced bandwidth at the ADC input. Therefore, the proposed transceiver achieves receiver bandwidth reduction without compromising the transmitted chirp bandwidth, which is needed to achieve ne range resolution. II. ARCHITECTURE OF RADAR TRANSCEIVER A. Stretch Processing Radar In the subsequent analysis, the following terms are employed (referring to Fig. 1): is the bandwidth of the reference chirp (or stretch chirp) in the receiver, is the bandwidth of the transmitted chirp, is the slope of the chirp, is the dura- tion time of the transmitted chirp, is the start time of the stretch chirp in the receiver, is the time that the transmitted chirp has travelled before reaching the receiver, and is the time at which the stretch chirp stops. For xed-chirp-rate stretch processing, a high bandwidth linear chirp is transmitted toward the target. The product of the transmit period and the chirp rate yields the effective transmitted bandwidth , which denes the range resolution of the radar, namely, , where is the speed of light. As shown in Fig. 1, a stretch chirp with the same chirp rate as the transmitted chirp is produced by the transceiver with a longer time duration which is re- quired to demodulate the received signal. A single-tone signal with a frequency of , which contains the target range infor- mation, is obtained after stretch processing. The chirp rate for 0018-9200 © 2014 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.

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Page 1: IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 9, …daifa01/Top/PubPapers/2014/An X-Band Radar... · YU et al.: AN X-BAND RADAR TRANSCEIVER MMIC WITH BANDWIDTH REDUCTION IN 0.13

IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 9, SEPTEMBER 2014 1905

An X-Band Radar Transceiver MMIC withBandwidth Reduction in 0.13 µm SiGe Technology

Jianjun Yu, Feng Zhao, Joseph Cali, Fa Foster Dai, Fellow, IEEE, Desheng Ma, Member, IEEE,Xueyang Geng, Senior Member, IEEE, Yuehai Jin, Yuan Yao, Xin Jin, J. David Irwin, Life Fellow, IEEE, and

Richard C. Jaeger, Life Fellow, IEEE

Abstract—This paper presents an X-band chirp radar trans-ceiver with bandwidth reduction for range detection. The radartransceiver includes a super-heterodyne receiver including anADC, a direct-digital synthesizer (DDS) based transmitter anda phase-locked loop (PLL) synthesizer. In a modified Weaverarchitecture, the down-converted baseband signal is furthermixed with another chirp signal through stretch processing. Theresulting waveform bandwidth is greatly reduced and thus relaxesthe power and bandwidth requirements of the on-chip ADC.Therefore, the proposed radar transceiver achieves power andbandwidth reductions without degrading its range resolution. Theradar-on-chip (RoC) MMIC was implemented in a 0.13 µm SiGetechnology with die area of 3.5 × 2.5 mm2. With a 2.2 V supply foranalog/RF circuits and a 1.5 V supply for the digital portion, thechip consumes 326 mW in the receive mode and 333 mW in thetransmit mode, respectively.

Index Terms—Chirp, DAC, DDS, FM, PLL, PM, SiGe, stretchprocessing, radar, receiver, transmitter.

I. INTRODUCTION

I NTEGRATED radar transceivers have been recentlyexplored for ranging detection in mobile environments

[1]–[9]. Pulse radar and ultra-wideband (UWB) radar requirehigh peak-to-average power ratios (PAPR) or wideband op-eration to transmit or receive narrow pulse signals [1]. Thedirect-conversion receiver topology is popular in frequencymodulated continuous wave (FMCW) radars due to its simplearchitecture and low cost for both area and power [2], [3]. Theheterodyne receiver architecture is known as the most reliablereception technique due to its excellent sensitivity and selec-tivity. Applying an off-chip surface acoustic wave (SAW) filtereliminates the out-of-band interferences. In voltage-controlledoscillator (VCO)-based and analog PLL-based FM radars, thechirp signal is generated at the VCO output [1]–[5]. Thereforechirp signal mixing occurs at the radio frequency (RF) band.Our DDS-based chirp radar generates the chirp signal in thebaseband. Thus chirp signal processing is done in the receiverbaseband, which relaxes the design requirements for the signalprocessing circuitry and reduces power consumption [6]. Whencompared with VCO and PLL-based chirp radars, the DDS

Manuscript received December 28, 2013; revised March 07, 2014; acceptedMarch 11, 2014. Date of publication April 29, 2014; date of current versionAugust 21, 2014. This paper was approved by Guest Editor Albert Wang.The authors are with the Department of Electrical and Computer Engineering,

Auburn University, Auburn, AL 36849 USA.Color versions of one or more of the figures in this paper are available online

at http://ieeexplore.ieee.org.Digital Object Identifier 10.1109/JSSC.2014.2315650

based RoC is featured with fast modulation, fine frequencysteps, and a flexible output frequency range, especially in gen-erating the baseband chirp signal [10]. The relative delay, thefrequency slope and the initial phase of the transmitted chirpare all programmable and controllable, which adds flexibilityto the design of these radar systems.In pulse-compression radars, the narrowwidth pulse is recov-

ered after pulse decompression in the receiver. A narrow pulsewidth in the time domain corresponds to a wide bandwidth in thefrequency domain. Since the radar range resolution is inverselyproportional to the transmitted bandwidth, it is thus desirable totransmit the chirp waveform with as wide a bandwidth as pos-sible. Recently, ultra-high-speed DDS monolithic microwaveintegrated circuits (MMICs) have become capable of generatingwaveforms with ultra-wide bandwidth [11]. However, receivingand processing the received signal with such a wide bandwidthimposes tremendous challenges upon the receiver circuits, e.g.,the design of the ADC.The proposed RoC transceiver with stretch processing mixes

the received chirp signal with a stretch chirp signal, resultingin a much reduced bandwidth at the ADC input. Therefore,the proposed transceiver achieves receiver bandwidth reductionwithout compromising the transmitted chirp bandwidth, whichis needed to achieve fine range resolution.

II. ARCHITECTURE OF RADAR TRANSCEIVER

A. Stretch Processing Radar

In the subsequent analysis, the following terms are employed(referring to Fig. 1): is the bandwidth of the reference chirp(or stretch chirp) in the receiver, is the bandwidth of thetransmitted chirp, is the slope of the chirp, is the dura-tion time of the transmitted chirp, is the start time of thestretch chirp in the receiver, is the time that the transmittedchirp has travelled before reaching the receiver, and is thetime at which the stretch chirp stops. For fixed-chirp-rate stretchprocessing, a high bandwidth linear chirp is transmitted towardthe target. The product of the transmit period and the chirp rateyields the effective transmitted bandwidth , which definesthe range resolution of the radar, namely, ,where is the speed of light. As shown in Fig. 1, a stretch chirpwith the same chirp rate as the transmitted chirp is producedby the transceiver with a longer time duration which is re-quired to demodulate the received signal. A single-tone signalwith a frequency of , which contains the target range infor-mation, is obtained after stretch processing. The chirp rate for

0018-9200 © 2014 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.

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1906 IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 9, SEPTEMBER 2014

Fig. 1. An illustration of stretch processing in time domain (left) and frequency domain (right).

Fig. 2. Block diagram of the chirp radar transceiver with stretch processing.

the stretch chirp can also be different from the transmitted chirp,and in fact a chirp signal with slower chirp rate will be gener-ated after the stretch processing.As shown in Fig. 2, the proposed super-heterodyne radar

transceiver is comprised of a receiver front-end, a modifiedWeaver receiver baseband, an ADC, a quadrature DDS-basedtransmitter, a PLL, and a Radar Control Unit (RCU). The pro-posed radar transceiver exhibits the following characteristics:1) a reduced bandwidth (20 MHz) at the input of the ADC isachieved through stretch processing, while a wider bandwidth(150 MHz) is transmitted to obtain high range resolution;2) a low-IF detection is implemented by mixing the basebandsignals with an offset frequency, which allows for the use of asingle ADC; and 3) the above improvements result in greatly

reduced receiver bandwidth and power consumption, as well asthe complexity of the ADC.

B. Modified Weaver Receiver

Super-heterodyne receivers with a low-IF output presentchallenges with image cancellations. The modified Weaverreceiver is featured with two-stage down conversion and imagerejection. In order to implement stretch processing in thereceiver baseband circuitry, the Weaver receiver architectureis revised by replacing the quadrature LO signals at the 1st IQdemodulator with the stretch chirp generated by the transmitter,as shown in Fig. 2. Multiple LO paths may generate a dc offsetat mixer output. In a super-heterodyne receiver, the mixingfrom RF to IF will not cause dc offset since the IF signal

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YU et al.: AN X-BAND RADAR TRANSCEIVER MMIC WITH BANDWIDTH REDUCTION IN 0.13 m SiGe TECHNOLOGY 1907

Fig. 3. Spectral analysis of the modified Weaver receiver architecture.

is band-pass filtered. The dc offset may occur at the mixingstage from IF to baseband signals. However, the dc offset atlowered frequency has much lower magnitude due to reducedEM coupling and no presence of large gain stages at input ofthe IF mixer. Moreover, baseband chirps can be set to start atnon-zero frequencies, which allow ac-couple for the basebandsignals and thus eliminate the dc offset. Therefore, the modifiedWeaver receiver has ignorable dc offset effect.The adoption of the modified Weaver receiver with stretch

processing is justified through the following spectral analysis.The low-pass filters, buffer, mixer and amplifier in the deriva-tions below are assumed to be ideal with unit gain for simplicity.Both the stretch chirp and second LO have unit ampli-tude. The input chirp, stretch chirp and second LO signal canbe expressed as

, and , respectively.and represent the amplitudes of the input chirp and

image chirp signals. As shown in Fig. 1, the frequencies of theinput chirp, stretch chirp and image chirp are defined as

and ,where is the time when the image chirp arrives at receiver.Input signal ( is mixed with the quadrature stretch chirp sig-nals. The low-pass filtered signals are mixed with the low-IF LO

in the second IQ modulators, and the resulting signals are

. The frequency of the desired signal at the receiveroutput reads , fromwhich the time delay can be extracted and the range of thetarget is given by . The component

represents the output of the image signal which oth-erwise falls into desired signal band without Weaver receiverwhen holds. Also, without the presence of animage chirp, it is possible to identify whether is less or largerthan by using Weaver architecture. The modified Weaverreceiver performance can also be understood through the spec-tral analysis shown in Fig. 3.The proposed RoC MMIC needs to meet various specifica-

tions including range resolution and detectable range, whichdetermine the required ADC bandwidth, namely,

, where and are the minimumand maximum ranges. Since range resolution ,chirp rate is determined by . Should chirp rate is reduced,it is necessary to increase transmission time to keep thesame resolution. Meanwhile, the transmission time is limitedsince receiver needs to have the stretch chirp ready when radarsignal is echoed back from the target.

C. Impact of Group Delay on Radar System Performance

Since the chirp signal possesses wide bandwidth and isvulnerable to nonlinearity, special attention was given to the in-vestigation of the impact of circuit nonlinear properties on radarsystem performance, such as range resolution. In particular, theimpact of group delay (GD) will be analyzed in this section.Assume phase variation can be expressed by a second-orderpolynomial , where . Thegroup delay can then be derived as .The resulting waveform after stretch processing is givenby with its frequency being expressed as

,where is a constant shift, while varies withtime and thus extends the spectrum. Therefore in the pres-ence of group delay, the time resolution of the radar isdegraded to .is the error term caused by the group delay. Accordingly,the range resolution of the radar system is degraded to

.Because the current bandwidth specification is 150 MHz,

which translates to a resolution of 1 meter, it is safe to assumethat the range resolution tolerance to be 0.1 m.Therefore, . The tolerable GD variation isthus given by

(1)

With careful design, simulations showed that the two crit-ical blocks, the LNA and the PA driver, demonstrate GD varia-tions of 20 ps and 70 ps, respectively, which are negligible com-pared to the tolerable estimated in (1). Throughoutthe design, all building blocks of the proposed radar transceiverMMIC are carefully checked for group delay variations to en-sure the total group delay introduced through the transmitter andreceiver are within the above established maximum tolerableGD variation.

D. Gain of Stretch Processing

In concert with other spread-spectrum operations, the chirpsignal also occupies a wide bandwidth and thus high signal-to-noise ratio (SNR) can be gained.Assuming the transmitted chirp signal is expressed as:

.The received chirp signal SNR is given by SNR ,

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1908 IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 9, SEPTEMBER 2014

where is the single-side band power spectral density ofthe noise, assuming a white noise power spectral density in( frequency range. Stretch processing can beexpressed as

(2)

The signal content after filtering and stretch processing is givenby .Its power can be calculated as assumingis very large. After stretch processing, the noise part has thepower of expressed as , where

denotes the mathematical expectation. By letting

, thus noise power can be calcu-

lated as

(3)

where . If we consideras the Fourier transform of from , the frequencycontent never goes beyond . The above expres-sion can be rearranged as:

, and. The SNR improvement is given by

. Substituting RoCspecification parameters into the above equation yields a 30 dBSNR improvement, which is verified by MATLAB simulation.Stretch processing with a chirp signal proves to offer a substan-tial performance boost over traditional processing.

III. RECEIVER WITH STRETCH PROCESSING

In order to provide a large dynamic range with improved lin-earity, a low-noise amplifier (LNA) is designed with an RF vari-able gain amplifier (VGA) prior to the mixer. The down-con-verted 1.72 GHz IF signal passes through an off-chip SAW filterthat removes harmonics, image signals and LO leakages pre-sented at the RF mixer output. In order to reduce the bandwidthwith less power penalty, the stretch processing technique is im-plemented in the modified Weaver receiver, rather than the RFband.

A. Receiver Circuitry

The design of a low power, wide-band radar front-end is chal-lenging because of the tradeoff between the noise figure andbandwidth performance [12]. A block diagram of the receiverRF and IF architectures are given in Fig. 2. The input stage ofthe LNA is a cascode common-emitter amplifier that is designedto simultaneously achieve both power and noise matching, asshown in Fig. 4(a). This radar receiver employs a reconfigurablefront-end and the wideband front-end is designed for scanningthe background. Once the target is identified, the receiver can bereconfigured to a narrow-band mode with increased sensitivityand anti-jamming capability, which are desired for tracking thetargets. The receiver front-end has separate components, i.e.,LNA, VGA, mixer and buffer, for the wide-band and narrow-

Fig. 4. Circuit schematic of the (a) narrowband LNA, (b) wideband LNA, and(c) RF VGA for single-to-differential converter.

Fig. 5. Simulated noise figure of wideband LNA and narrowband LNA.

band signal paths, which are connected at the SAW filter input.These two paths are switched via bias and controlled by theRCU. As shown in Fig. 5, the wideband LNA and narrowbandLNA have simulated noise figures of 4.5 dB and 2.4 dB, respec-tively.The RF VGA is a differential cascode amplifier with a cur-

rent steering branch connected to the upper cascode transistors,as shown in Fig. 4(c). A pair of current steering transistors underthe control signal adjusts the current flowing to the load.Thus the gain of the RF VGA can be continuously tuned. Tra-ditional Gilbert cells are used for both RF and IF mixers.The modified Weaver receiver baseband architecture, in-

cluding two-stage down-conversion mixers, two basebandLPFs, and an IQ signal combiner, is utilized to produce theimage rejected baseband signal. The 7th-order Butterworthbaseband filter is a widely tunable -C low-pass filter witha cutoff frequency tunable from 4 MHz to 54 MHz. Pro-grammability is achieved by tuning the bias current of thetransconductance cells, i.e., the of each stage.

B. 12-Bit Time Interleaved Pipeline ADC

A 12-bit time interleaved pipeline ADC is used to digitizethe single tone at the receiver output and extract the frequencyinformation, namely the range to target. The pipelined ADCarchitecture has been proven to be very suitable for high-speedoperation and high-resolution ADC converters. A time in-terleaved pipeline ADC structure is proposed in this designusing an op-amp sharing technique to reduce the large power

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YU et al.: AN X-BAND RADAR TRANSCEIVER MMIC WITH BANDWIDTH REDUCTION IN 0.13 m SiGe TECHNOLOGY 1909

Fig. 6. Block diagram of the time interleaved pipeline ADC.

consumption from power hungry op-amps. The block diagramof the 12-bit time interleaved op-amp sharing pipeline ADC isshown in Fig. 6. It consists of two eleven-stage 1.5-bit/stagetime-interleaved pipeline ADCs. One pipeline processes theeven samples, while the other pipeline works on odd samples.For both pipeline ADC channels, two complementary clockphases are used to handle multiplying and sampling. However,the op-amp only works in the multiplying phase for everysingle channel, which is half of one complete clock cycle.Thus, both pipeline ADCs are capable of sharing their op-ampsby only using the corresponding multiplying clock phase. Thisachieves a large power savings since the number of powerhungry op-amps is cut in half. In addition, this also helpsminimize offset and gain mismatches between pipelines thatcould degrade the ADC’s performance. Each pipeline stageincludes a flash sub-ADC, a sub-DAC, and a residue amplifier.

IV. DDS BASED CHIRP TRANSMITTER

The transmitter consists of a quadrature DDS, two 5th-orderButterworth low-pass filters (LPFs) with tunable cut-off fre-quencies, an IF IQ modulator, an off-chip SAW filter, a trans-mitter variable gain amplifier (TX-VGA), a RF mixer with anotch filter and a RF pre-amplifier. In order to remove the har-monics and spurs, the chirp signals generated by the quadratureDDS are first filtered by the 5th-order Butterworth LPFs. Thenthe clean chirp signals are up-converted to a 1.72-GHz IF fre-quency by the IF IQ modulator. An off-chip SAW filter is em-ployed to attenuate the LO leakage and other harmonics fromthe IF mixers. The TX-VGA amplifies the IF signal with a pro-grammable gain from 16 dB to 12 dB and a step size of 4 dB.A notch filter is embedded in the RF mixer to provide attenu-ation for the image signals around 5.16 GHz. The transmitterfinally transmits a clean chirp signal around 8.6 GHz.

A. Quadrature Direct Digital Synthesizer

A block diagram of the quadrature DDS architecture isgiven in Fig. 7. The quadrature DDS consists of a radarcontroller, a phase accumulator, a frequency accumulator, a

phase modulator, a quadrature Coordinate Rotation DigitalComputer (CORDIC) cell, inverse sinc filters and quadratureDACs. The high speed DAC implementation used in the DDSinherently applies a zero-order-hold (ZOH) operation on theoutput waveform. While the DDS generates a wide bandwidth“stretch” chirp signal that performs the stretch processing inthe radar, it is important that the amplitude of the generatedchirp not fluctuate with frequency. In order to achieve constantmagnitude over the chirp bandwidth, an inverse sinc filter isdesigned to compensate the roll-off due to the structure of theDAC’s ZOH transfer function. In the DDS, two FIR filters with9-bit coefficient resolution, one for the I-path and the other forthe Q-path, were implemented after the partial dynamic rotation(PDR) CORDIC. The phase to sinusoidal mapping function ofthe DDS uses the recently developed PDR CORDIC describedbelow.

B. Partial Dynamic Rotation (PDR)CORDIC

The generalized CORDIC algorithm is able to calculatevarious nonlinear elementary functions by a series of vectorrotations in circular, linear, and hyperbolic coordinate sys-tems. Since the CORDIC algorithm can be implementediteratively without involving multipliers, it is preferablefor hardware logic implementation. Only the calculationof sine and cosine functions is of interest in DDS de-sign. The vector rotation at the -th iteration is given by

,where and represent the rota-tion direction and the rotation angle respectively. The CORDICtreats as a system input and its goal is to make as close to 0as possible through iterations. However, the non-ideal rotationsin CORDIC increase the vector length and the -th iterationincreases the length by .Therefore, after iterations, the CORDIC will magnify thevector length by a factor of , which approaches1.64676026 , as the number of the iterations increases.There are several major hindrances for high-speed CORDIC

implementation with low area cost: 1) a great number of re-quired rotations, 2) compensation of the scaling factor K, 3)carry propagation of adders, and 4) dependence of X andY pathson the Z-path. In order to address these issues, a partial dynamicrotation (PDR)-CORDIC, illustrated in Fig. 8, is proposed. Thisarchitecture has a faster phase convergence speed than the con-ventional CORDIC while maintaining a constant scaling factorK. Thus it can be implemented with relatively low area over-head. In comparison with a conventional static stage, the extrahardware cost for a PDR-stage includes the dynamic rotationselection (DRS) logic and barrel shifters. The DRS logic findsthe closest elementary rotation angle from the set andpasses j to the barrel shifter to perform programmable bit shiftson the X and Y paths. Such overhead is small compared to thebenefits achieved by decreasing the number of rotations.

C. 12-Bit Current Steering DACs

Two fully differential, current steering 12-bit, 500 MHzCMOS DACs convert the digital output to an analog voltage.The DACs use a segmented architecture with 6 bits of ther-mometer coding for the MSB and 6-bits of binary coding for the

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1910 IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 9, SEPTEMBER 2014

Fig. 7. Block diagram of the quadrature DDS.

Fig. 8. Partial dynamic rotation (PDR)-CORDIC.

LSB. The output of the DAC has 20 dB of digitally controlled,programmable gain. The gain is programmed by modifying thevalues of current reference. The DAC uses a triple-centroidswitching scheme, which randomizes spurs due to current cellmismatch. The clock tree is a balanced H tree in an attempt tominimize clock skew along the wire paths. The SFDR of theDAC is approximately 55 dBc (better than 60 dBc at certainfrequencies) through about two thirds of the Nyquist frequency.

D. 5th Order Butterworth Low-Pass Filter

The quadrature DDS generates harmonics and spurs atits output, and a low-pass filter is needed to remove them.In this application, a widely-tunable OTA-C low-pass filterwith a cutoff frequency tunable from 23 MHz to 135 MHz isemployed as shown in Fig. 9(a). The architecture of the filteris synthesized with the 5th-order low-pass Butterworth ladderprototype.For OTA-C filter design, constant topology usually

exhibits large power consumption because the must be highenough to satisfy the highest cutoff frequency requirement. Inaddition, a constant topology requires the filter to meet thenoise budget at the highest frequency, because the noise fromthe OTA cell is constant, and the smallest capacitor determinesthe overall noise performance of the filter. A large capacitoris required if low noise performance is needed. On the otherhand, the constant C topology experiences the same noiseperformance over the tuning range. Therefore, a constant C

Fig. 9. (a) Fully differential 5th-order Butterworth filter and (b) schematic ofthe OTA cell.

Fig. 10. Simplified schematic of (a) the RF mixer with notch filter and (b) RFpre-amplifier.

topology is employed in this filter In order to make thevalue tunable, binary-weighted unit cells are adopted. Pro-grammability is achieved by switching unit OTA cells on andoff. Since the input and output swing of the filter need not bevery large, a simple fully differential folded-cascode amplifierwith common-mode feedback is used for the unit g cell, asshown in Fig. 9(b).

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YU et al.: AN X-BAND RADAR TRANSCEIVER MMIC WITH BANDWIDTH REDUCTION IN 0.13 m SiGe TECHNOLOGY 1911

Fig. 11. Block diagram of the proposed PLL system and schematic of widebandVCO.

Fig. 12. Die photo of the proposed chirp radar IC.

E. RF Mixer and Pre-Amplifier

The RF mixer further up-converts the IF signal to an 8.6 GHzRF signal. In order to suppress the image signal, a notch filterwas proposed and added to the mixer. As shown in Fig. 10(a),the notch filter is implemented with a series LC tank in parallelwith the load resistor . The resonant frequency of the LC tankis tuned to the image frequency. The spectrum of the RF mixeroutput contains the LO signal tone and the harmonics of the RFsignal. In order to attenuate these undesired tones, a band-passfilter formed by the LC tank and its associated parallel resistor

is achieved within a two-stage pre-amplifier, as shown inFig. 10(b).

V. PHASE-LOCKED LOOP

In the proposed radar transceiver, an integer-N PLL con-sisting of a wideband VCO, a divide-by-two cell (DTC), amulti-modulus-divider (MMD), a phase-frequency detector(PFD) and a charge pump (CP), as well as divider moduleswere used to generate clocks and LO signal for mixers, DDS,ADC and a digital interface. As shown in Fig. 11, the outputof the VCO is first divided by 2 before being fed into theMMD in order to relax the time requirement. Five stages ofthe divide-by-2/3 cell are used to achieve a divide ratio from32 to 63.A multi-band VCO, with a 4-bit MIM capacitor array and a

tunable current tail, is adopted to provide a wide tuning range aswell as low phase noise performance. Fig. 11 presents the pro-posed bipolar NPN cross-coupled VCO. The frequency tuning

Fig. 13. (a) Measured narrowband receiver front end gain vs. the VGA Vctrl.(b) measured P1 dB and gain of Rx front-end.

range is simulated with an 18% increase. A noise filtering MIMcapacitor is used to reduce the noise up-conversion from the cur-rent tail and the simulated improvement is 3.5 dB.In order to avoid breakdown, the bias voltage as shown

in Fig. 11 should be large. However, a large will force thebipolar transistor into the saturation region, which is not desir-able since the VCO phase noise will be degraded in this oper-ating region. The following conditions should be met to main-tain the largest signal swing for best phase noise and avoidbreakdown:

(4)

where the voltage divider ratio is intro-duced to alleviate the requirement of breakdown voltage.is the single-ended VCO signal amplitude. Vand V are the voltage margin from saturation andthreshold voltage of the bipolar transistor, respectively. Asknown, the larger the voltage divider ratio the better thephase noise. To prevent breakdown, is chosen and themaximum differential signal amplitude is thus 0.54 V.

VI. IMPLEMENTATION AND MEASURED RESULTS

The proposed chirp radar transceiver prototype chip wasimplemented in a 0.13 m SiGe BiCMOS technology. Fig. 12shows the die photo of the radar transceiver MMIC. Thisradar-on-chip transceiver was operated and tested with anextensive custom test fixture including a dedicated printedcircuit board (PCB), and a digital control system, consisting ofFPGA modules supported by a custom PC interface developedin Python.Fig. 13(a) shows the measured receiver front end gain vs.

the voltage. The gain tuning has the maximum gain of47.7 dB, and its dynamic range is 34 dB. The gain controlcurve is saturated at the low control voltage. Fig. 13(b) showsthe measured P1 dB of the receiver front-end. The input P1 dBis 35 dBm. The chirp radar receiver is also measured througha 1.8 GHz single-tone test signal applied to the IF circuitinput, and the quadrature chirp signals from 27.5 to 30.9 MHzgenerated from the transmitter baseband. The chirp signal at

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1912 IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 9, SEPTEMBER 2014

Fig. 14. Measured chirp spectrum at the Rx BB output.

Fig. 15. (a) Measured DDS output spectrum showing a SFDR of 60 dBcMHz), and (b) measured and simulated chirp spectra at DDS

output (12.5–50 MHz).

the receiver output is from 1.1 to 4.5 MHz. Fig. 14 shows themeasured spectrum of the chirp signal at the receiver basebandoutput.

TABLE IPERFORMANCE COMPARISON OF X-BAND RADAR TRANSCEIVER MMICS

Fig. 15 illustrates the measured output spectrum of thequadrature DDS with a clock frequency of 500 MHz. Thegenerated single-tone signal has a frequency of 43.9 MHz.Although the spur changes with output frequency, the spurlevel is 60 dB below the signal power. Fig. 15 also shows thecomparison between simulated and measured chirp spectrumsranging from 12.5 MHz to 50 MHz at the DDS output. Themeasured chirp spectrum is consistent with the simulationresults. An inverse filter is implemented in the DDS tomaintain the constant amplitude of the generated chirp overthe entire frequency band. To test the filters, a 90 MHz sweepwith the clock frequency at 200 MHz was generated usingthe DDS. With the inverse filter enabled, the measuredchirp magnitude variation across the spectrum is reduced from2.77 dB to 0.21 dB.Fig. 16(a) shows themeasured transfer curves of the 5th-order

Butterworth low-pass filter under all combinations of the 3-bitbandwidth control word. The DC gain is 6 dB and the gainrolls off at 100 dB/decade above the cutoff frequency, whichis adequate to attenuate the harmonics at the DDS output ifthe start frequency is properly selected. Fig. 16(b) depicts thesimulated and measured curves of filter bandwidth vs. band-width control word. A linearly controlled bandwidth has beenobtained from 18 MHz to 135 MHz in measurement, comparedto the bandwidth from 22.5MHz to 180MHz in simulation. Thebandwidth reduction might be caused by the parasitic capaci-tance, OTA gain loss and the process variation in the MIM ca-pacitor value. This filter has achieved good linearity. As shownin Fig. 16(c), the measured IIP3 is 4.9 dBm. Fig. 17 depicts themeasured spectrum of the transmitter output. The transmittedchirp ranges from 8.65 GHz to 8.665 GHz. The chirp signal wasup-converted from the DDS output with the start- and stop-fre-quencies of 62 MHz and 77 MHz, respectively.As shown in Fig. 18, the measured phase noise of the PLL

is dBc/Hz and dBc/Hz@10 kHz and 1 MHz offsetwith a center frequency of 6.56 GHz, respectively. The mea-sured VCO tuning range is shown in Fig. 19. The overall fre-quency tuning range is around 34% and the VCO tuning gain isaround 350 MHz/V. Table I summarizes the performance com-parison of the X-band transceiver MMICs. The prototype chirp

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YU et al.: AN X-BAND RADAR TRANSCEIVER MMIC WITH BANDWIDTH REDUCTION IN 0.13 m SiGe TECHNOLOGY 1913

Fig. 16. (a) Measured transfer curves, (b) comparison between simulated and measured filter bandwidth vs. control word (BWCW) and (c) measured IIP3 of the5th-order Butterworth LPF.

Fig. 17. Measured spectrum of the chirp radar transmitter RF output.

Fig. 18. Measured and simulated phase noise of PLL with kHz,MHz.

Fig. 19. Measured VCO frequency tuning curves versus the tuning voltageVtune and the 4-bit band selection code.

radar transceiver occupied a die area of 3.5 2.5 mm and itconsumes a power of 333 mW and 326 mW under TX modeand RX mode, respectively.

VII. CONCLUSION

This paper has presented an X-band chirp radar transceiverimplemented in a 0.13 m SiGe BiCMOS technology. The pro-posed radar transceiver employed a stretch processing techniqueto reduce the receiver bandwidth and thus lower the sample rateand power of the ADC. Stretch processing was implementedin the receiver baseband within a modified Weaver architec-ture. The radar-on-chip (RoC) MMIC occupied a die area of3.5 2.5 mm , and consumes 326 mW in the receive mode and333 mW in the transmit mode, respectively.

ACKNOWLEDGMENT

The authors would like to thank Michael Pukish and ZacharyHubbard for their help with the testing and simulation.

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REFERENCES

[1] T. Mitomo et al., “A 77 GHz 90 nm CMOS transceiver for FMCWradar applications,” IEEE J. Solid-State Circuits, vol. 45, no. 4, pp.928–937, Apr. 2010.

[2] S. Wang, K. Tsai, K. Huang, S. Li, H. Wu, and C. C. Tzuang, “Designof X-band RF CMOS transceiver for FMCW monopulse radar,” IEEETrans. Microw. Theory Tech., vol. 57, no. 1, pp. 61–70, Jan. 2009.

[3] C. K. C. Tzuang et al., “An X-band CMOS multifunction-chip FMCWradar,” in IEEE Int. Microwave Symp. Dig., 2006, pp. 2011–2014.

[4] D. Saunders et al., “A single-chip 24 GHz SiGe BiCMOS transceiverfor FMCW automotive radars,” in IEEE Radio Frequency IntegratedCircuits Symp. Dig., 2009, pp. 459–462.

[5] E. Suijker, L. D. Boer, G. Visser, R. Dijk, M. Poschmann, and F. V.Vliet, “Integrated X-band FMCW front-end in SiGe BiCMOS,” inIEEE Proc. 40th Eur. Microwave Conf., 2010, pp. 1082–1085.

[6] J. Yu, D. Ma, X. Geng, F. Zhao, J. Cali, F. F. Dai, Y. Yao, Y. Jin, J.D. Irwin, R. C. Jaeger, and A. Aklian, “An X-band radar receiver withbandwidth reduction implemented in 0.13 m technology,” in Proc.IEEE Bipolar/BiCMOS Circuits and Technology Meeting, Sep. 2013.

[7] N. Pohl, T. Klein, K. Aufinger, and H. M. Rein, “A low-power wide-band transmitter front-end chip for 80 GHz FMCW radar systems withintegrated 23 GHz down-converter VCO,” IEEE J. Solid-State Cir-cuits, vol. 47, no. 9, pp. 1974–1980, Sep. 2012.

[8] S. Y. Kim and G. M. Rebeiz, “A low-power BiCMOS 4-elementphased array receiver for 76–84 GHz radars and communicationsystems,” IEEE J. Solid-State Circuits, vol. 47, no. 2, pp. 359–367,Feb. 2012.

[9] K. J. Koh and G. M. Rebeiz, “An X- and Ku-band 8-element phased-array receiver in 0.18 m SiGe BiCMOS technology,” IEEE J. Solid-State Circuits, vol. 43, no. 6, pp. 1360–1371, Jun. 2008.

[10] J. Yu, J. Cali, F. Zhao, F. F. Dai, X. Jin, M. Pukish, Y. Jin, Z. Hubbard,J. D. Irwin, R. C. Jaeger, and A. Aklian, “A direct digital synthesisbased chirp radar transmitter in 0.13 m SiGe technology,” in Proc.IEEE Bipolar/BiCMOS Circuits and Technology Meeting, Sep. 2013.

[11] X. Geng, F. F. Dai, J. D. Irwin, and R. C. Jaeger, “An 11 bit 8.6 GHzdirect digital synthesizer MMIC with 10-bit segmented sine-weightedDAC,” IEEE J. Solid-State Circuits, vol. 45, no. 2, pp. 300–313, Feb.2010.

[12] D. Ma, F. F. Dai, R. C. Jaeger, and J. D. Irwin, “An 8–18 GHz 0.18 Wwideband recursive receiver MMIC with gain-reuse,” IEEE J. Solid-State Circuits, vol. 46, no. 3, pp. 562–571, Mar. 2011.

Jianjun Yu received the B.S. degree in mechanicalengineering from Hefei University of Technology,Hefei, China, in 1999, the M.S. degree in electricalengineering from Shanghai University, Shanghai,China, in 2007, and the Ph.D. degree in electricalengineering from Auburn University, Auburn, AL,USA, in 2011.From 1999 to 2003, he was a senior product

engineer with Ricoh Asia Industry (Shenzhen) Ltd.,China. Since January 2012, he has been with Qual-comm Inc., San Diego, CA, USA, where he designs

RFIC products for 3G and 4G cellular systems. His research interests includewireless transceivers, analog/digital PLLs, oscillators and time-to-digitalconverters.

Feng Zhao received the B.S. degree in electronicscience and technology from Hunan University,Changsha, China, in 2006, the M.S. degree inmicro-electronics from Fudan University, Shanghai,China, in 2009, and the Ph.D. degree in electricalengineering from Auburn University, Auburn, AL,USA, in 2012.From 2009 to 2010, he worked at Canaantek,

Shanghai, China, designing fractional-N synthesizerand analog based band for GPS receivers. In 2011, hewas a summer intern at Creatronix Semiconductor,

Auburn, AL, USA, where he designed a fractional-N synthesizer with quan-tization noise reduction. During the summer of 2012, he interned at MaximIntegrated Products, Sunnyvale, CA, USA. Since December 2012, he has beenwith Apple Inc., Cupertino, CA, USA. His research interests are integratedRF and analog circuits for SOCs, including analog/digital PLLs, oscillators,high-speed digital circuits, and low-power RF front ends.Dr. Zhao serves as a reviewer for IEEE TRANSACTIONS ON INDUSTRIAL

ELECTRONICS. He won the IEEE Custom Integrated Circuits Conference(CICC) Intel/Helic student scholarship in 2011.

Joseph Cali received the B.S. degree in computerscience from Louisiana State University, BatonRouge, LA, USA, in 2007, and the Ph.D. degreein electrical engineering from Auburn University,Auburn, AL, USA, in 2011. He specialized in directdigital frequency synthesis in his Ph.D. program,and currently works for a research group developingstate-of-the-art frequency synthesis technologies.His research focuses on algorithmic methods forreducing spurious content in mixed-signal frequencygenerators and data converters.

Fa Foster Dai (M’92–SM’00–F’09) received aPh.D. degree in electrical and computer engineeringfrom Auburn University, Auburn, AL, USA, in 1997and a Ph.D. degree in electrical engineering fromThe Pennsylvania State University, State College,PA, USA, in 1998.From 1997 to 2000, he was with Hughes Network

Systems of Hughes Electronics, Germantown, MD,USA, where he was a Member of Technical Staff,designing radio frequency (RF) ICs for wireless andsatellite communications. From 2000 to 2001, he was

with YAFO Networks, Hanover, MD, USA, where he was a Technical Man-ager and a Principal Engineer, leading IC designs for fiber communications.From 2001 to 2002, he was with Cognio Inc., Gaithersburg, MD, USA, de-signing RFICs for multi-band MIMO wireless transceivers. In August 2002, hejoined Auburn University, Auburn, AL, USA, where he is currently a Professorin electrical and computer engineering. His research interests include analogand mixed-signal circuits, RFICs for wireless and radar systems, and ultra-highfrequency synthesis. He co-authored the book Integrated Circuit Design forHigh-Speed Frequency Synthesis (Artech House, 2006).Dr. Dai served as Guest Editor for the IEEE JOURNAL ON SOLID-STATE

CIRCUITS in 2012 and 2013 and served as Guest Editor for the IEEETRANSACTIONS ON INDUSTRIAL ELECTRONICS in 2001, 2009 and 2010. Heserved on the technical program committee of the IEEE Symposium on VLSICircuits from 2005 to 2008. He currently serves on the executive committee aswell as the technical program committee of the IEEE Bipolar/BiCMOS Circuitsand Technology Meeting (BCTM) and the technical program committee of theIEEE Custom Integrated Circuits Conference (CICC).

DeshengMa (S’08M’10) received the B.S. degree inelectrical engineering from the University of Scienceand Technology of China (USTC), Hefei, China, in2003, the M.S. degree in microelectronics from In-stitute of Semiconductors, Chinese Academy of Sci-ences, Beijing, China, in 2006 and the Ph.D. degreein electrical and computer engineering from AuburnUniversity, Auburn, AL, USA, in 2010.From 2010 to 2012, he worked as a senior IC de-

sign engineer for Creatronix Semiconductor and laterDIS Semiconductors in Auburn, AL and Austin, TX,

where he worked on radio frequency (RF) ICs for CMOS TV tuner. Since 2013,he has been with Broadcom Corporation, Irvine, CA, as senior staff design engi-neer designing transceivers for Ethernet PHYs and USB. His research interestsinclude transceiver circuits for high-frequency, high-speed and low-power inte-grated wireless/wireline systems.

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Xueyang Geng (M’10–SM’13) received the Ph.D.degree in electrical and computer engineering fromAuburn University, Alabama, USA in 2010, the M.S.degree from the Institute of Semiconductors, ChineseAcademy of Sciences, Beijing, China in 2004 and theB.S. degree in physics from the University of Scienceand Technology of China (USTC), Hefei, China, in2001.From 2004 to 2005, he was with STMicroelec-

tronics Design Center, Shenzhen, China, where heis working on high voltage power regulator ASIC

design in BCD technology. From 2010 to 2012, he was with CreatronixSemiconductor and later DIS Semiconductors in Auburn, Alabama and Austin,Texas, where he was working on TV tuner design in CMOS technology. Heis currently working with NXP Semiconductor in Tempe, Arizona to developUSB products. His research interests include VLSI circuits for mixed-signal,analog and RF applications, oscillators, phase-locked loop (PLL), ultrahighspeed direct digital synthesis (DDS) and digital-to-analog converter (DAC).

Yuehai Jin received the Ph.D. degree in electricaland computer engineering from Auburn University,Alabama, USA in 2011, the M.S. degree in electricalengineering from Southeast University, Nanjing,China, in 2001 and the B.S. degree in electricalengineering from Southeast University, Nanjing,China, in 1998.From 2011 to 2012, he was with Marvell Tech-

nology in Santa Clara, CA, USA, where he wasworking on GPS receiver design in CMOS tech-nology. He is currently working with Qualcomm

Incorporated in San Diego, CA, USA, to develop 4G wireless transceiver.His research interests include VLSI circuits for mixed-signal, analog and RFapplications, oscillators, phase-locked loop (PLL).

Yuan Yao received the B.S. degree from Fudan Uni-versity, Shanghai, China and the M.S. degree fromthe Institute for Semiconductors, Chinese Academyof Sciences, Beijing, China, both in microelectronics,in 2002 and 2005, respectively, and the Ph.D. degreein electrical and computer engineering from AuburnUniversity, Auburn, AL, USA, in 2010.Since 2010 he has been with Broadcom Corpora-

tion, Irvine, CA, USA, where he currently is a seniorstaff design scientist involved in analog front-end de-signs for Gigabit Ethernet PHY transceiver chips. His

current research interests include analog, mixed-signal, and data converter de-signs for high-speed and low-power applications. He holds five issued/pendingU.S. patents and has published more than 10 peer-reviewed journal/conferencepapers.

Xin Jin received the M.S. degree in electrical andcomputer engineering from Auburn University, AL,USA, in 2010, and the B.S. degree in control scienceand engineering from Huazhong University of Sci-ence and Technology, Wuhan, China, in 2008.He interned with Broadcom Corp., Irvine, Cali-

fornia in 2011 and is currently working with analogand mixed-signal IC design group, Qualcomm Inc.,San Diego, CA, USA, to develop integrated powercircuits. His main interests include low-poweranalog and mixed-signal ICs, continuous-time filters

and integrated power-management ICs for SoC.

J. David Irwin (S’60–M’63–SM’71–F’82–LF’05)was born in Minneapolis, MN, on August 9, 1939.He received the B.E.E. degree from Auburn Uni-versity, Auburn, AL, USA, in 1961, and the M.S.and Ph.D. degrees from the University of Tennessee,Knoxville, TN, USA, in 1962 and 1967, respectively.He joined Bell Telephone Laboratories as a

Member of the Technical Staff and was promotedto Supervisor. He joined Auburn University as anAssistant Professor, was promoted to AssociateProfessor and made the Department Head. He served

as Head of the Electrical and Computer Engineering Department from 1973to 2009. He is currently the Earle C. Williams Eminent Scholar in the ECEDepartment.Dr. Irwin has held numerous positions within the IEEE including President of

both Education and Industrial Electronics Societies, as well as Editor-in-Chiefof the IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS. He is the author/co-author of numerous publications and patents, including 18 textbooks. He is aFellow of the American Society for Engineering Education and the AmericanAssociation for the Advancement of Science. He is a recipient of numerouseducation and technical awards, including the 2013 IEEE James H. MulliganJr. Education Medal.

Richard C. Jaeger (M’69–SM’78–F’86–LF’10)received the BS and ME degrees in ElectricalEngineering in 1966 and the Ph.D. degree in 1969,all from the University of Florida, Gainesville. From1969 to 1979 he was with the IBM Corporation andholds three patents and received two IBM InventionAchievement Awards. In 1979 he joined AuburnUniversity where was Dintinguished UniversityProfessor of Electrical and Computer Engineeringand now Professor Emeritus. He was instrumental infounding the Alabama Microelectronics Science and

Technology Center in 1984 and served as its Director until 1998. From October2001 through 2004, he led development of Auburn University’s WirelessEngineering Program. He retired from Auburn January 1, 2008.Prof. Jaeger has been involved in IEEE Solid-State Circuits Society activities

for many years and served as SSCS President, JSSC Editor, ISSCC ProgramChair and the VLSI Symposia Executive Committee Chair. He received the1998 IEEE Education Society McGraw-Hill/Jacob Millman Award for “Devel-opment of a Modern and Innovative Design-Oriented Electronic Circuits Text,”and the 2004 IEEE Undergraduate Teaching Award for “Excellence In Under-graduate Teaching and Development of Outstanding Textbooks for Courses InMicroelectronics.” Dr. Jaeger is a Life Fellow of the IEEE. In his spare time heis an avid amateur radio operator (K4IQJ).