SATTPrevious years University Questions From UNIT 1

TOPIC : Fourier seriesJAN 2015(SUPPLY)1. State the Dirchlets conditions (2 ½)2. Find the trigonomentric fourier series of the periodic signal. (10)

JUNE – 2014 (MAINS)1. State the Dirchlets conditions for Fourier Series of a CT Periodic Signals (2 ½)2. Find The EFS of the following Signal (10)

APR 2013(MAIN)1. State and Prove Parseval’s theorem applicable to periodic signals (5)2. Prove that the Half wave symmetric signal contains only Odd harmonics in the Fourier series

(5)3. Obtain the relation between EFS and TFS (2)4. Write the Drichlet’s Conditions (3)DEC 2013(SUPPLY)1. Find the EFS of the following Periodic signal (10)

2. Show that the phase of the EFS Coefficient Cn is an odd function (2)JAN 2013(SUPPLY)(NEW)1. A Periodic signal x(t) is as shown below (10) a) Obtain the EFS b) Draw the magnitude spectra of the above signal

2. List out the conditions for F.S to exist (3)

JAN 2012 ( SUPPLY)1. Explain the symmetry properties of Fourier series. (3)2. Find the TFS for the following signal. (7)

3. Match the following (2) Time signal Its Spectrum a) Continuous and Periodic (i) Continuos and Aperiodic b) Continuous and Aperiodic (ii) Continuous and Periodic

(iii) Discrete and Periodic(iv) Discrete and Aperiodic

JUNE 2012 (MAINS)1. State the Drichlet’s conditions (2)2. Find the Fourier series of the following signal (8)

JUNE 2012(NEW) (MAINS)1. Find the TFS of the following Periodic signal (10)

JAN-2011(SUPPLY)1. Determine the Complex exponential Fourier series representation of the signal X(t) =Cos 4t + Sin 6t (2 ½)2. Consider the following triangular signal. Find the (a) The Complex Exponential Fourier Series (10) (b) The TFS of x(t)

June-2011(Main)1. Derive the Expressions for Fourier series Coefficients (4)2. Determine the Fourier series Coefficients for the following Periodic signal (6)

JUNE – 2010 (MAIN)1. Obtain the Complex Exponential Fourier series representation for the signal x(t) = Sin2t ( 2 ½)2. Find the EFS and TFS of the following signal (10)

APRIL – 2009(Main)1. Mention all symmetry properties of Fourier series (2 ½)2. Find the EFS Coefficients of x(t) = Sinw0t (2 ½)3. Find the FS for the FWR Sine wave shown below (10)

If the period of the wave is changed to 2π instead of π .What is its F.SDEC 2009(SUPPLY)1. Prove that the Fourier series of a periodic signal with rotation symmetry contains only Odd Harmonics. ( 2 ½)2. Find the Complex EFS for the signal x(t) = 2Cos 5t + 5Sin15t (5)3. Find the TFS for the following periodic signal. (5)

APR 2008 (NEW) (MAINS)1. Prove that F.S for an odd periodic function consists entirely of sine terms ( 2 ½)2. Find the F.S of the function shown below (10)

DEC 2008 (SUPPLY)1. Give the relation between TFS and EFS ( 2 ½)2. Find the F.S of the w/f shown .Hence find the F.S of the w/f in (b) (10)

3. Find the EFS of the following W/F (10)4. State Parseval’s theorem as applied to Exponential Fourier series. ( 2 ½)DEC 2007 (SUPPLY)1. Show that even harmonics vanish in the TFS of a periodic signal with rotational symmetry (5)2. Determine the Fourier series coefficients for the signal x(t) = Cos(4πt ¿ (5)

APR-2007(MAINS)1. Show that phase spectrum is asymmetrical about the vertical axis (2 ½)2. State any 2 properties of F.S (2 ½)3. State the parseval’s relation for Continuous time periodic signals. (2 ½)4. Explain the convergence conditions for validity of Fourier series. (2 )