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 SIGNALS AND SYSTEMS

(Core Subject)

Course Code: 10B11EC301  Semester: 3rd

  Semester, B. Tech

(ECE)

Credits: 4 Contact Hours: L-3, T-1,P-0

Course Objectives1)  To study the properties and representation of discrete and continuous signals.

2)  To study the analysis and synthesis of discrete time systems. 3)  To study the sampling process and analysis of discrete systems using z-transforms. 4)  To represent periodic signals using Fourier series5)  To find the spectral components of signals using Fourier transform6)  To analyze continuous signals using Laplace transform

7) 

To analyze discrete signals using z- transform

Course Outcomes1)  To expose the students to some of important analysis tools for engineering systems.

2)  How to describe the signal and system in general domain:  Analyze systems in order to calculate,

estimate and classify their impulse, step, response. Learn the principles of deciding that a givensystem is stable, invertible and memory-less. Introduction and application of concept of convolution

for the continuous and discrete time of signals.

3)  Presentation of signal in frequency domain: Analyze signals in order to calculate their frequency

spectra, and estimate, classify, assess the effect of a system on signals in terms of frequency content

and time domain effects.4)  Basic principles of sampling and reconstruction.

5)  Application of the tool of Laplace and Z transforms for the simplifying of the engineering

problems : Apply difference equations and the Z-Transform in calculating the output of a digital

system given any digital input.

6)  Also the students shall get the exposure of solving the real-life problems using the concepts of

signal and systems.: Analyze the effect of the gain parameter of a closed-loop system on the

stability of the system and the steady state error

Course Contents

Unit Topics References (chapter

number, page no. etc)

Lectu

res

1. Continuous-time and discrete-time signals, signal

energy and power, periodic signals, even-oddsignals, exponential and sinusoidal signals, Unit

impulse and step functions, continuous and

discrete time systems, System classifications,system properties.

Page no: 1-56A.V. Oppenheim

&A.S.Willsky & S.H.

 Nawab

8

2. Convolution integral and convolution sum, properties of LTI systems, LTI systems described

 by differential and difference equation, response

of LTI systems.

Page no: 74-137A.V. Oppenheim

&A.S.Willsky & S.H.

 Nawab

5

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3 Fourier series representation of continuous and

discrete time signals, properties, Fourier

Transform representation of continuous-time anddiscrete time signals, properties, system

characterization by linear constant coefficient

difference equation.

Page no: 177-399

A.V. Oppenheim

&A.S.Willsky & S.H. Nawab

13

4 The Laplace Transform, ROC, properties ofLaplace-transform, analysis and characterizationof LTI systems using Laplace Transform.

Page no: 654-721A.V. Oppenheim&A.S.Willsky & S.H. Nawab

6

5 The z-transform, ROC and pole-zero-plot,

 properties of z-transform, analysis and

characterization of LTI systems using z-

transform. Stability criterion.

Page no: 741-797

A.V. Oppenheim

&A.S.Willsky & S.H.

 Nawab

7

6 Sampling, types of sampling, Analog to digital

conversion, Signal reconstruction.

Page no: 514-538

A.V. Oppenheim&A.S.Willsky & S.H.

 Nawab

3

Total Number of Lectures42

Evaluation Scheme

1.  Mid Semester  :30 marks

2.  End Semester  : 45 marks

3.  Internal Assessment : 25 marks

5 Marks : Attendance(75-79)%-1 marks

(80-84)%-2 marks

(85-89)%-3 marks90% and above-5 marks

10 Marks : Presentation/ Tutorial assessment

10 Marks : Quizzes

Text Books1.  . A.V. Oppenheim &A.S.Willsky & S.H. Nawab, Signals & Systems, Prentice Hall Reference

Books1.  B.P.Lathi, Signal Processing and Linear Systems, Cambridge Press ,Carmichael ,CA 1998

Symon Haykin, Signal & Systems, John Willey and Sons