Name of the Faculty: Mr. MOUSAM CHATTERJEE Course …...3. A. Nagoor Kani - Signals and Systems - McGraw Hill REFERENCE BOOKS: 1. J. G. Proakis & D. G. Manolakis - Digital Signal Processing

COURSE FILE

Name of the Faculty: Mr. MOUSAM CHATTERJEE

Course Name: Signals and Systems

Course Code: EC303

Program: B.Tech in Electronics and Communication Engineering

Year: 2

Semester: III

B. P. PODDAR INSTITUTE OF MANAGEMENT & TECHNOLOGY

Department of Electronics & Communication Engineering

Academic Year: 2018-’19, Semester: Odd

TABLE OF CONTENTS

Sl. No. Description 1 Institute V/M; Department V/M/PEO & PO/PSO Statements 2 Course Syllabus including Course Structure 3 Course Outcomes (CO) 4 Mapping CO with PO/PSO; course with PO/PSO 5 Lesson plan with number of hours/periods, TA/TM, Text/Reference book 6 Gap within the syllabus - mapping to CO, PO/PSO 7 Gaps beyond the syllabus - Mapping to PO/PSO 8 Web references 9 Journal references

10 List of Power point presentations / Videos 11 Internal Question papers, Key with CO and BL 12 Assignment Question papers mapped with CO and BT 13 Scheme of evaluation with CO and BL mapping

INSTITUTE

VISION

To enrich knowledge in engineering and technology through practice of progressive teaching-

learning process and to be recognised as a research based centre for grooming professionals with

ethical values and providing creative engineering solutions commensurate to global changes.

MISSION

1. To enhance quality of engineering education through accessible, comprehensive and research

oriented teaching-learning process.

2. To create opportunities for students and faculty members in acquiring knowledge through

research and developing progressive social attitude for mass awareness.

3. To create effective interface with industry by strengthening industry- institution interaction

and fostering entrepreneurial skills.

4. To satisfy ever-changing needs of the nation through rational evolution towards sustainable

and environment friendly technologies.

Sd/-

Dr. Sutapa Mukherjee, Principal (BPPIMT)



Department of Electronics and Communication Engineering

Vision

Emerge as one of the premier departments for Electronics and Communication Engineering studies

in West Bengal.

Mission

1 Imparting innovative educational program through laboratory and project-based teaching-

learning process for meeting the growing challenges of industry and research.

2 Providing an inspiring and conducive learning environment to prepare skilled and competent

engineers and entrepreneurs for sustainable development of the society.

3 Creating a knowledge centre of advance technologies committed to societal growth using

environment-friendly technologies.

Program Educational Objective (PEO)

1 Graduates of Electronics and Communication Engineering will be able to use latest tools and

techniques to analyze, design and develop novel systems and products to solve real life

problems.

2 Graduates of Electronics and Communication Engineering will have strong domain

knowledge, skills and attitude toward employment in core and allied industries, higher studies

and research or will become successful entrepreneurs.

3 Graduates of Electronics and Communication will exhibit ethical values, professionalism,

leadership, communication and management skills, team work and multi-disciplinary

approach to adapt current trends in technology through life-long learning.

Program Outcomes (POs)

1. Engineering knowledge: Apply the knowledge of mathematics, science, engineering

fundamentals, and an engineering specialization to the solution of complex engineering problems.

2. Problem analysis: Identify, formulate, research literature, and analyze complex engineering

problems reaching substantiated conclusions using first principles of mathematics, natural sciences,

and engineering sciences.

3. Design/development of solutions: Design solutions for complex engineering problems and design

system components or processes that meet the specified needs with appropriate consideration for the

public health and safety, and the cultural, societal, and environmental considerations.

4. Conduct investigations of complex problems: Use research-based knowledge and research

methods including design of experiments, analysis and interpretation of data, and synthesis of the

information to provide valid conclusions.

5. Modern tool usage: Create, select, and apply appropriate techniques, resources, and modern

engineering and IT tools including prediction and modeling to complex engineering activities with an

understanding of the limitations.

6. The engineer and society: Apply reasoning informed by the contextual knowledge to assess

societal, health, safety, legal and cultural issues and the consequent responsibilities relevant to the

professional engineering practice.

7. Environment and sustainability: Understand the impact of the professional engineering solutions

in societal and environmental contexts, and demonstrate the knowledge of, and need for sustainable

development.

8. Ethics: Apply ethical principles and commit to professional ethics and responsibilities and norms

of the engineering practice.

9. Individual and team work: Function effectively as an individual, and as a member or leader in

diverse teams, and in multidisciplinary settings.

10. Communication: Communicate effectively on complex engineering activities with the

engineering community and with society at large, such as, being able to comprehend and write

effective reports and design documentation, make effective presentations, and give and receive clear

instructions.

11. Project management and finance: Demonstrate knowledge and understanding of the

engineering and management principles and apply these to one’s own work, as a member and leader

in a team, to manage projects and in multidisciplinary environments.

12. Life-long learning: Recognize the need for, and have the preparation and ability to engage in

independent and life-long learning in the broadest context of technological change.

Program Specific Outcomes (PSOs)

PSO1: Students will acquire knowledge in Advance Communication Engineering, Signal and

Image Processing, Embedded and VLSI System Design.

PSO2: Students will qualify in various competitive examinations for successful employment,

higher studies and research.

Sd/-

Dr. Ivy Majumdar, HOD (ECE)

Course Syllabus

Signals and Systems (EC-303)

Contracts: 3L Credits- 3

1) Introduction to signal and systems: Continuous and discrete time signals: Classification of

Signals – Periodic aperiodic even – odd – energy and power signals – Deterministic and random

signals – complex exponential and sinusoidal signals – periodicity – unit impulse – unit step –

Transformation of independent variable of signals: time scaling, time shifting. System properties:

Linearity, Causality, time invariance and stability. Dirichlet’s conditions, Determination of

Fourier series coefficients of signal. 8L

2) Signal Transformation: Fourier transformation of continuous and discrete time signals and

their properties. Laplace transformation - analysis with examples and properties. Parseval’s

theorem; Convolution in time (both discrete and continuous) and frequency domains with

magnitude and phase response of LTI systems. 8L

3) Laplace Transform: Recapitulation, Analysis and characterization of LTI systems using

Laplace transform: Computation of impulse response and transfer function using Laplace

transform. 2L

4) Sampling Theorem: Representation of continuous time signals by its sample –Types of

sampling, Sampling theorem. Reconstruction of a Signal from its samples, aliasing –sampling of

band pass signals. 4L

5) Z-Transforms: Basic principles of z-transform - z-transform definition –, Relationship

between z-transform and Fourier transform, region of convergence – properties of ROC –

Properties of z-transform – Poles and Zeros – inverse z-transform using Contour integration -

Residue Theorem, Power Series expansion and Partial fraction expansion. 6L

6) Random Signals & Systems: Definitions, distribution & density functions, mean values &

moments, function of two random variables, concepts of correlation, random processes, spectral

densities, response of LTI systems to random inputs. 4L

TEXT BOOKS:

1. A. V. Oppenheim, A. S. Willsky and S. H. Nawab - Signals & Systems, Pearson

2. S. Haykin & B. V. Veen, Signals and Systems - John Wiley

3. A. Nagoor Kani - Signals and Systems - McGraw Hill

REFERENCE BOOKS:

1. J. G. Proakis & D. G. Manolakis - Digital Signal Processing Principles, Algorithms and

Applications, PHI.

2. C-T Chen - Signals and Systems - Oxford

3. E W Kamen & B S Heck- Fundamentals of Signals and Systems Using the Web and Matlab -

Pearson

4. B. P. Lathi - Signal Processing & Linear Systems - Oxford

5. P. Ramesh Babu & R. Anandanatarajan- Signals and Systems 4/e - Scitech

6. M. J. Roberts, Signals and Systems Analysis using Transform method and MATLAB, TMH

7. S. Ghosh - Signals and Systems - Pearson

8. M. H. Hays - Digital Signal Processing, Schaum’s outlines, TMH

9. Ashok Ambardar - Analog and Digital Signal Processing- Thomson.

10. Phillip, Parr & Riskin - Signal, Systems and Transforms - Pearson

COURSE OBJECTIVES:

The purpose of this course is to

1 Understand basics of signals and systems and convolution.

2 Explain spectral analysis of periodic and aperiodic signals using Fourier methods.

3 Develop the stability analysis using Laplace transform and Z- transform of

continuous-time and discrete-time signals.

4 Describe the process of sampling and its applications.

5 Introduce the basics of probability and statistical properties of random variables and

the various distribution and density functions.

COURSE OUTCOMES:

S. NO

DESCRIPTION BLOOM’S

LEVEL After successfully completing the course, students should be able

to

C205.1 Explain basics of signals and systems to find the response of LTI

system using convolution Understand

C205.2 Analyze the spectral characteristics of continuous-time periodic

and aperiodic signals using Fourier methods Analyze

C205.3 Apply the Laplace transform and Z- transform of continuous-time

and discrete-time signals for stability analysis. Apply

C205.4 Understand the process of sampling to convert an analog signal

into discrete signal Understand

C205.5 Discuss the concept of probability and statistical properties of

random variables. Understand

COURSE OUTCOMES VS POs MAPPING (DETAILED; HIGH: ’3’; MEDIUM: ’2’; LOW: ’1’; NO

CORRELATION: ’-‘): S. No PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2

C205.1 3 2 1 - - - - - - - - 2 3 1

C205.2 3 2 2 - - - - - - - - 2 3 1

C205.3 3 2 2 - - - - - - - - 2 3 1

C205.4 3 1 - - - - - - - - - 1 3 1

C205.5 3 - - - - - - - - - - 1 1 1

C205 3 1.75 1.66 - - - - - - - - 1.6 2.6 1

* For Entire Course, PO& PSO Mapping

Sd/- Sd/-

-------------------------------------- -----------------------------------------

Prepared by Dr. Ivy Majumdar, HOD (ECE)

Mousam Chatterjee

Lecture/

Tutorial

No

Topics to be covered References Teaching Aid Teaching

Methodology

L1 Introduction on CO, PO, PSO, and

mapping Any

GGB, LCD Projector,

Chalk, Duster Lecture, PPT

L2 Introduction to signal and systems: Te 1 (sec 1.1-1.2)

Te 2 (sec 1.2-1.11) GGB, Chalk, Duster

Lecture, PPT,

Quiz, Assignment

L3 Classification of signals Te 1 (sec 1.1-1.2)

Te 2 (sec 1.2)

GGB, LCD Projector,

Chalk, Duster

Lecture, PPT,

Quiz, Assignment

L4 Transformation of signals Te 1 (sec 2.3)

Te 2 (sec 1.2)

GGB, LCD Projector,

Chalk, Duster

Lecture, PPT,

Quiz, Assignment

L5 Classification of systems Te 1 (sec 2.3-2.4)

Te 2 (sec 1.4)

GGB, LCD Projector,

Chalk, Duster

Lecture, PPT,

Quiz, Assignment

L6

System properties: Linearity,

Causality, time invariance and

stability

Te 1 (sec 2.8)

Te 2 (sec 1.11)

GGB, LCD Projector,

Chalk, Duster

Lecture, PPT,

Quiz, Assignment

L7 Parseval’s theorem; Convolution in

time (both discrete and continuous)

Te 1 (sec 2.9)

Te 2 (sec 5.4) GGB, Chalk, Duster

Lecture, Quiz,

Assignment

L8 Frequency domains with magnitude

and phase response of LTI systems

Te 1 (sec 3.6)


Lecture, Quiz,

Assignment

L9 Convolution problems Te 1 (sec 3.8)

Te 2 (sec 2.7)

GGB, LCD Projector,

Chalk, Duster

Lecture, PPT,

Quiz, Assignment

L10

Dirichlet’s conditions, Determination

of Fourier series coefficients of

signal

Te 1 (sec 4.6)

Te 2 (sec 3.2)

GGB, LCD Projector,

Chalk, Duster

Lecture, PPT,

Quiz, Assignment

L11 Determination of Fourier series

coefficients of signal

Te 1 (sec 4.4)


Lecture, Quiz,

Assignment

L12 Fourier transformation of continuous

time signals

Te 1 (sec 4.11)


Lecture, Quiz,

Assignment

L13 Fourier transformation of discrete

time signals

Te 1 (sec 4.12)


Lecture, Quiz,

Assignment

L14 Fourier properties Te 1 (sec 4.5,4.10)


Lecture, Quiz,

Assignment

L15 Representation of continuous time

signals by its sample

Te 1 (sec 6.3)


Lecture, Quiz,

Assignment

L16 Definition of sampling, Types of

sampling

Te 1 (sec 6.3)


Lecture, Quiz,

Assignment

L17 Sampling theorem. Reconstruction of

a Signal from its samples

Te 1 (sec 6.3)


Lecture, Quiz,

Assignment

L18 Aliasing –sampling of band pass

signals

Te 1 (sec 6.3)


Lecture, Quiz,

Assignment

L19 Basic principles of z-transform - z-

transform definition

Te 1 (sec 7.1)


Lecture, Quiz,

Assignment

L20

Relationship between z-transform

and Fourier transform, region of

convergence

Te 1 (sec 7.2) Te 2 (sec 10.3)

GGB, Chalk, Duster Lecture, Quiz, Assignment

L21 Properties of ROC – Properties of z-

transform

Te 1 (sec 7.4)


Lecture, Quiz,

Assignment

L22 Poles and Zeros – inverse z-

transform using Contour integration

Te 1 (sec 7.5)


Lecture, Quiz,

Assignment



Lesson Plan for Signals and Systems (EC303)


L23 Residue Theorem, Power Series

expansion

Te 1 (sec 7.5)


Lecture, Quiz,

Assignment

L24 Partial fraction expansion Te 1 (sec 7.5)


Lecture, Quiz,

Assignment

L25 Laplace transformation Te 1 (sec 3.1)


Lecture, Quiz,

Assignment

L26 Laplace analysis with examples Te 1 (sec 3.6)


Lecture, Quiz,

Assignment

L27 Laplace properties Te 1 (sec 3.3)


Lecture, Quiz,

Assignment

L28

Recapitulation, Analysis and

characterization of LTI systems using

Laplace transform

Te 1 (sec 3.6)


Lecture, Quiz,

Assignment

L29

Computation of impulse response and

transfer function using Laplace

transform

Te 1 (sec 3.6) GGB, Chalk, Duster Lecture, Quiz,

Assignment

L30 Random Signals & Systems:

Definitions Te 2 (sec 1.2) GGB, Chalk, Duster

Lecture, Quiz,

Assignment

L31 Distribution & density functions,

mean values & moments Internet GGB, Chalk, Duster

Lecture, Quiz,

Assignment

L32

Function of two random variables,

concepts of correlation, random

processes

Te 1 (sec 6.13)


Lecture, Quiz,

Assignment

L33 Spectral densities, response of LTI

systems to random inputs Internet GGB, Chalk, Duster

Lecture, Quiz,

Assignment

L34

Various signal analysis such as

mechanical, hydraulic, thermal,

biomedical signals and systems etc.

Internet GGB, Chalk, Duster Lecture

L35 LSI system NPTEL GGB, LCD Projector Lecture, PPT

L36

Applications of signal and system

theory- modulation for

communication, filtering and so on.

Internet GGB, Chalk, Duster Lecture

References:

Te 1. A.Nagoor Kani - Signals and Systems

Te 2. Tarun Kumar Rawat - Signals and Systems

Te 3. A. V. Oppenheim, A. S. Willsky and S. H. Nawab - Signals & Systems

Te 4. S. Haykin & B. V. Veen, Signals and Systems

Te 5. J. G. Proakis & D. G. Manolakis - Digital Signal Processing Principles

Te 6. C-T Chen - Signals and Systems

Te 7. E W Kamen & B S Heck- Fundamentals of Signals and Systems Using the Web and Matlab

Te 8. B. P. Lathi - Signal Processing & Linear Systems

Te 9. P. Ramesh Babu & R. Anandanatarajan- Signals and Systems

Te 10. M. J. Roberts, Signals and Systems Analysis using Transform method and MATLAB

Te 11. S. Ghosh - Signals and Systems

Te 12. M. H. Hays - Digital Signal Processing, Schaum’s outlines

Te 13. Ashok Ambardar - Analog and Digital Signal Processing

Te 14. Phillip, Parr & Riskin - Signal, Systems and Transforms

Sd/-

--------------------------------------

Prepared by

Mousam Chatterjee

GAPS WITHIN SYLLABUS

Sl.

No. DESCRIPTION PROPOSED ACTIONS

MAPPING

CO PO PSO

1

Various signal analysis such as

mechanical, hydraulic, thermal,

biomedical signals and systems etc.

Topics to be covered along

with syllabus 1 1, 12 1, 2

2 LSI system https://nptel.ac.in/courses/

117101055/downloads/Lec

-7.pdf

1

1, 12

1, 2

3

Applications of signal and system

theory- modulation for

communication, filtering and so on.

Topics to be covered along

with syllabus 1

1, 12

1, 2

TOPICS BEYOND SYLLABUS/ ADVANCED TOPICS/ DESIGN:

Sl.

No. DESCRIPTION PROPOSED ACTIONS

MAPPING

PO PSO

1 System Properties: shift-invariance Assignment/ Industry

Visit/ Guest Lecturer/

NPTEL etc.

1, 12 1

2 State variable representation 1, 12 1

3 Spectral density 1, 12 1

WEB SOURCE REFERENCES:

1 http://en.wikipedia.org/wiki/signals and systems

2 http://nptel.ac.in/courses/ Discrete Time Signal Processing

3 www.cise.ufl.edu/class/cap6516sp17/mtr/lsi_conv.pdf

JOURNAL REFERENCES:

Sl.

No. Journal Name ISSN

1 International Journal of Electronics Signals and Systems (IJESS) 2231- 5969

2 Journal of Signal Processing Systems 1939-8115

3 International Journal of Systems Signal Control and Engineering

Application

1997-5422

http://en.wikipedia.org/wiki/signals

Lecture1: Institute and Department Vision, Mission, PEOs, POs, PSOs, COs and Course

Overview

Lecture2-9: Introduction to signal and systems



List of Power Point Presentations

Course Name: Signals and Systems

Name of the Faculty: Mr. Mousam Chatterjee

OUTCOME BASED EDUCATION (OBE)

Question

No. Knowledge Domain

Allotted

Marks COs

1 Understand 5 1

2 or 3 Analyze 10 2

4 or 5 Apply 10 3

GROUP – A: Choose the correct alternatives of the following. 5×1=5

1. i) Which one is static system?

A. y(t) = ax(t) B. y(t) = tx(t) + 6x(t3) C. y(t) = x(t) + 2x(t-1) D. None of these

ii) Which one is a time variant system?

A. y[n] = x2[n] B. y[n] = nx[n] C. None of these D.All of these.

iii) Which one is causal signal?

A. Aebt B. Aebt u(t) C. Aejωt D. u(-t)

iv) Which of the following is purely odd signal

A. Aejbt B. Aebt C. Asin(nω0t) D. x(t2)

v) If the impulse response of an LTI causal system is in the form e-at, then its response for step

input of value A will be in the form

A. A(1-e-at)u(t) B. Ae-atu(t) C. {A(1-e-at)}/au(t) D. (A-e-at)u(t)

GROUP – B: Answer the following (one from each). 2×10 = 20

2. a) Determine the trignometric Fourier series coefficients for even signal. 5

b) Find the CTFT of x(t) = e-atu(t); for a>0. Also plot the magnitude spectrum of x(t). 5

or

3. a) Determine the Fourier series representation of the signal x(n) = ej5Πn/2. 5

b) Determine the Fourier transform of the signal x(n) = alnl; -1<a<1 5

4. a) Briefly explain the properties of ROC for Laplace transform. 5

b) Find the Laplace transform and ROC of the signal x(t) = e-atu(t). 5

Or

5. a) Let x(t) and X(s) be Laplace transform pair. Given that x(t) = e-tu(t). Solve inverse Laplace

transform of e-3sX(2s). 2 + 3

b) Deduce the relation between Laplace transform and Fourier transform. 5


Class Test 1/ B.TECH/ ECE(NEW)/ SEM 3/ EC303/ 2018

SIGNALS AND SYSTEMS

Time Allotted: 45 minutes Full Marks: 25

2. a) Determine the trignometric Fourier series coefficients for even signal 5

Description Marks awarded Knowledge level attained

If correct equations are written 2 Understand

If calculation is done for even signal 3 Apply

b) Find the CTFT of x(t) = e-atu(t); for a>0. Also plot the magnitude spectrum of x(t). 5


If expression is written 2 Understand

If calculation is done + if magnitude

spectrum is drawn 2+1 Apply

Or

3. a) Determine the Fourier series representation of the signal x(n) = ej5Πn/2. 5


If expression of DTFS is written 1 Understand

If calculation is done 4 Analyze

b) Determine the Fourier transform of the signal x(n) = alnl; -1<a<1 5


If expression of DTFT is written 1 Understand

If calculation is done 4 Apply

4.a) Briefly explain the properties of ROC for Laplace transform. 5


If properties of ROC are written 3 Understand


b) Find the Laplace transform and ROC of the signal x(t) = e-atu(t). 5


If Laplace transform is calculated 3 Apply

If ROC is shown 2 Understand

Or



SIGNALS AND SYSTEMS

Evaluation Rubrics

5. a) Let x(t) and X(s) be Laplace transform pair. Given that x(t) = e-tu(t). Solve inverse Laplace

transform of e-3sX(2s). 2 + 3


If expression of Inverse Laplace transform is

written 2 Understand


b) Deduce the relation between Laplace transform and Fourier transform. 5


If relation is written 4 Understand


Sd/-

--------------------------------------

Prepared by

Mousam Chatterjee


Question


Allotted

Marks COs

1 Understand 5 1

2 Understand 5 + 5 = 10 4




GROUP – A: Choose the correct alternatives of the following. 5×1 = 5

1. i) Which of the following signal is the example for deterministic signal

a) step b) ramp c) exponential d) all of these.

ii) The convolution of e-atu(t) with e-atu(t) will be equal to

a) tu(t) b) e-atu(t) c) e-2atu(t) d) te-atu(t)

iii) Which property is exhibited by the auto-correlation function of a complex valued signal?

a) Commutative property b) Distributive property

c) Conjugate property d) Associative property.

iv) If X(z) is the z-transform of the signal x(n) then what is the z-transform of anx(n)?

a) X(az) b) X(az-1) c) X(a-1z) d) None of these.

v) If all the poles of the system function H(z) have magnitude smaller < 1, then the system will

be

a) stable b) unstable c) BIBO stable d) a and c.

GROUP – B: Answer any two of the following. 2 × 10 = 20

2. i) Discuss types of sampling.

ii)Explain and derive the mathematical equations of Signal reconstruction process of analog

signal from digital signal. 5 + 5 = 10

Or

3. i) Determine the Nyquist sampling rate and Nyquist sampling interval for following signal.

0.5 sinc2(200 πt)

ii) State Nyquist criteria. Explain aliasing effect? 5 + 5 = 10

4. a) Discuss Commutative Distribution Function (CDF) and Probability Density Function (PDF).

b) Differentiate auto & cross correlation. 5 + 5 = 10

Or

5. i) Discuss mean value and moments.

ii) Verify Parseval’s theorem using Energy Spectral Density (ESD) 5 + 5 = 10



SIGNALS AND SYSTEMS

Time Allotted: 50 minutes Full Marks: 15

2. i) Discuss types of sampling. 5


If the types of sampling are written 2 Remember

If the types of sampling are discussed 3 Understand

ii) Explain and derive the mathematical equations of Signal reconstruction process of analog

signal from digital signal. 5


If the Signal reconstruction process is explained 2 Understand

If the mathematical equations are derived 3 Understand

or

3. i) Determine the Nyquist sampling rate and Nyquist sampling interval for following signal.

0.5 sinc2(200 πt) 5


If expressions of Nyquist sampling rate and

Nyquist sampling interval are written

1 Understand


ii) State Nyquist criteria. Explain aliasing effect? 5


If Nyquist criteria is stated 1 Understand

If aliasing effect is explained 4 Apply

4.i)Discuss Commutative Distribution Function (CDF) and Probability Density Function (PDF). 5


If Commutative Distribution Function (CDF) is

discusssed

2.5 Understand

If Probability Density Function (PDF) is

discusssed

2.5 Understand



SIGNALS AND SYSTEMS

Evaluation Rubrics

ii) Differentiate auto & cross correlation. 5.


If expressions of auto & cross correlation are

written

1 Understand

If the differences of auto & cross correlation are

discussed

4 Understand

Or

5.i) Discuss mean value and moments. 5


If mean value is discusssed 2.5 Understand

If moment is discussed \2.5 Understand

ii) Verify Parseval’s theorem using Energy Spectral Density (ESD) 5


If expressions of Parseval’s theorem and

Energy Spectral Density (ESD)

are written

2 Understand

If the verification of Parseval’s theorem using

Energy Spectral Density (ESD)

is done

3 Understand

Sd/-

--------------------------------------

Prepared by

Mousam Chatterjee


Question


Allotted

Marks COs

1 Understand 5 1

2 Understand 5 1

3 Analyze 5 2

4 Analyze 5 2

5 Apply 5 3

1. Compute the convolution of the following signals:

x(n) = n2 ; 0 ≤ n ≤ 5 h(n) = n/2 ; -3 ≤ n ≤ 5

= 0; otherwise = 0; otherwise

2. Briefly explain about causal signal and causality of a system.

3. Determine the inverse Fourier transform of the signal X(ω) = δ(ω).

4. a) State Dirichlet’s condition.

b) State the difference between CTFS & DTFS.

5. Let x(t) and X(s) be Laplace transform pair. Given that x(t) = e-tu(t). Solve inverse Laplace

transform of e-3sX(2s).



Assignment1


Course Name: Signal and Systems (EC-303)

1. Compute the convolution of the following signals:

x(n) = n2 ; 0 ≤ n ≤ 5 h(n) = n/2 ; -3 ≤ n ≤ 5

= 0; otherwise = 0; otherwise


If expression is written 1 Remember

If problem is solved 4 Apply

2. Briefly explain about causal signal and causality of a system. 2 + 3


If topic is defined 2 Remember

If topic is explained 2 Remember

If any example is provided 1 Understand

3. Determine the inverse Fourier transform of the signal X(ω) = δ(ω). 5




4. a) State Dirichlet’s condition.

b) State the difference between CTFS & DTFS. 2 + 3



If any 3 differences are explained 3 Analyze

5. Let x(t) and X(s) be Laplace transform pair. Given that x(t) = e-tu(t). Solve inverse Laplace

transform of e-3sX(2s). 5





Assignment1


Evaluation Rubrics


Question


Allotted

Marks COs

1 Apply 5 3

2 Apply 5 3

3 Understand 5 4

4 Understand 5 4

5 Understand 5 5

1. Find initial and final values of x(n) of

2. Find the inverse z-transform of X(Z) = = , > 1.

3. State and prove sampling theorem. What is aliasing?

4. The frequency which, under the sampling theorem, must be exceeded by the sampling

frequency is called the Nyquist rate. Determine the Nyquist rate for sinc(200t)+sinc2(200t)

5. Write short notes of the following

i) Correlation and mean value

ii) Random Process



Assignment2



1. Find initial and final values of x(n) of 5




2. Find the inverse z-transform of X(Z) = = , > 1. 5


If figure is drawn 1 Analyze


If topic is explained 2 Apply

3. State and prove sampling theorem. What is aliasing? 2 + 2 + 1


If topic is defined 2 Remember

If topic is proved 2 Understand

If topic is explained 1 Understand

4. The frequency which, under the sampling theorem, must be exceeded by the sampling frequency is called the

Nyquist rate. Determine the Nyquist rate for sinc(200t)+sinc2(200t) 5



If problem is solved 4 Understand

5. Write short notes of the following

i) Correlation and mean value

ii) Random Process 5



If expression is written/ figure is drawn 2 Understand


Assignment2


Evaluation Rubrics

**Parameter of Selection: Considering the semester result of the prerequisite

Mathematics-I (M101), Basic Electronics (ES101) at the beginning of semester Those who

scored more than 8 point [Grade-E, according to MAKAUT’s Grading System].

Serial No. University Roll No. Name

1. 11500317017 Ujjwal Raj

2. 11500317019 Torsa Saha

3. 11500317024 Syed Md Saifuddin

4. 11500317025 Swati Shekhar Jha

5. 11500317030 Sussweta Sen

6. 11500317032 Suman Chakraborty

7. 11500317034 Sukriti Mishra

8. 11500317053 Sinjon Nath

9. 11500317058 Shouvik Saha

10. 11500317069 Ritabina Majumder

Percentage of Students = 18%

Sd/-

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Prepared by

Mousam Chatterjee



List of Bright Students (1st List, Beginning of semester)

Course Name: Signals and Systems Course Code: EC 303

Academic year: 2018-’19 Year: 2nd Program: ECE Section: B


**Parameter of Selection: Considering the semester result at the beginning of previous semester

Those who scored more than 8 point [Grade-E, according to MAKAUT’s Grading System].


1. 11500317017 Ujjwal Raj

2. 11500317019 Torsa Saha

3. 11500317024 Syed Md Saifuddin




7. 11500317041 Subhajit Laha

8. 11500317049 Soumili Sarkar

9. 11500317053 Sinjon Nath

10. 11500317058 Shouvik Saha

11. 11500317060 Shayan Ghosh

12. 11500317069 Ritabina Majumder


Sd/-

--------------------------------------

Prepared by

Mousam Chatterjee



List of Bright Students (2nd List, After 1 month)




**Parameter of Selection: Considering the 1st internal Class Test result (Those who have got

more than 70% marks).





4. 11500317034 Sukriti Mishra

5. 11500317049 Soumili Sarkar

6. 11500317053 Sinjon Nath

7. 11500317058 Shouvik Saha

8. 11500317059 Shivam Shaurya Jha


Sd/-

--------------------------------------

Prepared by

Mousam Chatterjee



List of Bright Students (3rd List, After 1st Class Test result)




Documents

Name of the Faculty: Mr. MOUSAM CHATTERJEE Course …...3. A. Nagoor Kani - Signals and Systems - McGraw Hill REFERENCE BOOKS: 1. J. G. Proakis & D. G. Manolakis - Digital Signal Processing