Savitribai Phule Pune University, Maharashtra (SPPU), Electrical Engineering Semester 5, Digital Signal Processing Syllabus

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Unit - 1 Discrete Time Signal And System

Unit 1

Discretetime signals and systems

1.1 Analog Discretetime and Digital signals

1.2 Basic sequences and sequence operations

1.3 Discrete time systems

1.4 Properties of D. T. Systems and Classification

1.5 Linear Time Invariant Systems

1.6 Impulse response

1.7 Linear convolution and its properties

1.8 Properties of LTI systems stability

1.9 Causality

1.10 Periodic Sampling

1.11 Sampling Theorem

1.12 Frequency Domain representation of sampling

1.13 Reconstruction of a band limited Signal

1.14 A to D Conversion Process Sampling quantization and encoding

Unit - 2 Z And Inverse Z Transform

Unit 2

Z and Inverse Z transform

2.1 Revision of Ztransform

2.2 Numerical of Z transform

2.3 Inverse Z transform using partial fraction and power series method

2.4 Linear constant coefficient difference equations

2.5 Solution of difference equation

2.6 Stability and causality using ROC of Ztransform

Unit - 3 Discrete Time Fourier Transform

Unit 3

Discrete Time Fourier Transform

3.1 Representation of Sequences by Fourier Transform

3.2 Symmetry properties of D.T.F.T theorems Linearity

3.3 Time shifting

3.4 Frequency shifting

3.5 Time reversal

3.6 Differentiation

3.7 Convolution theorem

3.8 Frequency response analysis of first and second order system

3.9 Steady state and transient response

Unit - 4 Discrete Fourier Transform

Unit 4

Discrete Fourier Transform

4.1 Sampling in frequency domain

4.2 The Discrete Fourier Transform

4.3 Relation with z transform

4.4 Properties of DFT Linearity

4.5 Circular shift

4.6 Duality

4.7 Symmetry

4.8 Circular Convolution

4.9 Linear Convolution using DFT

4.10 Effective computation of DFT and FFT

4.11 DIT FFT and DIF FFT

Unit - 5 Design Of IIR Filter

Unit 5

Design of IIR filter

5.1 Ideal frequency selective filters

5.2 Concept of filtering

5.3 Specifications of filter

5.4 IIR filter design from continuous time filters Characteristics of Butterworth and Chebyshev

5.5 Impulse invariant technique

5.6 Bilinear transformation technique

5.7 Design examples Butterworth low pass filter

5.8 Basic structures for IIR Systems direct form cascade form

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Other Subjects of Semester-1
Power electronics
Electrical machines-ii
Industrial and technology management
Electrical installation, design and condition based maintenance
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