Digital Signal Processing (BEC502)

Digital Signal Processing

Course Code BEC502 
CIE Marks 50
Teaching Hours/Week (L:T:P: S) 3:0:2:0 
SEE Marks 50
Total Hours of Pedagogy 40 hours Theory + 8-10 Lab slots 
Total Marks 100
Credits 04 
Exam Hours 3 Hours
Examination nature (SEE) Theory

MODULE-1

Introduction: Signals, Systems and Signal Processing, Classification of Signals, The Concept of Frequency in

Continuous Time and Discrete Time Sinusoidal Signals. [Text1: 1.1, 1.2, 1.3: 1.3.1, 1.3.2]

Discrete Time Signals and Systems: Discrete Time Signals, Discrete Time Systems, Analysis of Discrete Time

Linear Time Invariant Systems.

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MODULE-2

Z-Transforms: The z-Transform, Properties of the z-Transform (Statements only), The System Function of a

Linear Time Invariant system. Text1:3.1, 3.2, 3.3.3.

The Discrete Fourier Transform: Frequency Domain sampling and Reconstruction of Discrete Time Signals,

The DFT, The DFT as Linear Transformation. Properties of DFT: Periodicity, Linearity and Symmetry for real

valued sequence, Multiplication of two DFTs and Circular Convolution.

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MODULE-3

DFT Properties: Time reversal of a sequence, Circular Time shift of a sequence, Circular frequency shift,

Complex conjugate property, Multiplication of two sequences, Perceval’s theorem. Linear Filtering Methods

based on the DFT. (Text 1: 7.3].

Efficient Computation of the DFT- FFT Algorithms: Direct Computation of the DFT, Radix-2 FFT Algorithms:

computation of DFT and IDFT in decimation in time.

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MODULE-4

Design of FIR Filters: Characteristics of practical frequency-selective filters, Symmetric and Antisymmetric FIR

filters, Design of Linear-phase FIR (low pass and High pass) filters using windows - Rectangular, Bartlett,

Hanning, Hamming and Blackman windows. Structure for FIR Systems: Direct form and Cascade form.

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MODULE-5

IIR Filter Design: Infinite Impulse response Filter Format, Bilinear Transformation Design Method, Analog

Filters using Low pass prototype transformation, Normalized Butterworth Functions, Bilinear Transformation

and Frequency Warping, Bilinear Transformation Design Procedure, Digital Butterworth Filter Design (Lowpass

and Highpass) using BLT. Realization of IIR Filters in Direct form I and II.

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PRACTICAL COMPONENT OF IPCC

Experiments

1 Program to generate the following discrete time signals.

a) Unit sample sequence, b)Unit step sequence, c) Exponential sequence, d)Sinusoidal sequence, e)

Random sequence

2 Program to perform the following operations on signals.

a) Signal addition, b) Signal multiplication, c)Scaling, d) Shifting, e)Folding

3 Program to perform convolution of two given sequences (without using built-in function) and display the signals.

4 Consider a causal system y(n) = 0.9y(n-1)+x(n).

a) Determine H(z) and sketch its pole zero plot.

b) Plot |H(ejω)| and ∠ H(ejω)

c) Determine the impulse response h(n).

5 Computation of N point DFT of a given sequence (without using built-in function) and to plot the

magnitude and phase spectrum.

6 Using the DFT and IDFT, compute the following for any two given sequences

a)Circular convolution

b) Linear convolution

7 Verification of Linearity property, circular time shift property & circular frequency shift property of DFT.

8 Develop decimation in time radix-2 FFT algorithm without using built-in functions.

9 Design and implementation of digital low pass FIR filter using a window to meet the given specifications

10 Design and implementation of digital high pass FIR filter using a window to meet the given specifications

11 Design and implementation of digital IIR Butterworth low pass filter to meet the given specifications.

12 Design and implementation of digital IIR Butterworth high pass filter to meet the given specifications

Suggested Learning Resources:

Text Books:

1. Proakis & Manolakis, “Digital Signal Processing - Principles Algorithms & Applications”, 4th Edition, Pearson

education, New Delhi, 2007. ISBN: 81-317-1000-9.

2. Li Tan, Jean Jiang, “Digital Signal processing - Fundamentals and Applications”, Academic Press, 2013, ISBN: 978-0-12-415893.

3. Vinay K. Ingle, John G Proakis , “Digital Signal Processing Using MATLAB, A problem Solving Companion”,

Cengage Learning, 2018, ISBN: 93-86668-11-4

Reference Books:

1. Simon Haykin and Barry Van Veen, “Signals and Systems”, 2nd Edition, 2008, Wiley India. ISBN9971-51- 239-4.

2. Sanjit K Mitra, “Digital Signal Processing, A Computer Based Approach”, 4th Edition, McGraw Hill Education,

2017. ISBN:978-1-25-909858

3. Oppenheim & Schaffer, “Discrete Time Signal Processing", PHI, 2003.

4. D Ganesh Rao and Vineeth P Gejji, “Digital Signal Processing" Cengage India Private Limited, 2017, ISBN:9386858231