Digital Signal Processing

Objective & Outcome of learning This course will make students conversant with the designing of analog and digital FIR filters using various digital signal processing techniques. At the end of the course the students will be able to design and analyze digital filters.

1. Introduction:

Motivation, advantages and applications of digital signal processing, review of A/D and D/A conversion, quantization noise.

2. Discrete Time Signals and Systems:

Representation of discrete signals, linear time invariant system, FIR and HR system, stability and causality of the systems, systems described by difference equations, solution of difference equations

3. Realization of Digital Systems:

Block diagram and signal flow representations, matrix representation, direct, cascade, parallel, lattice and ladder realization of HR systems, direct, cascade and lattice realization of FIR systems.

4. Fast Fourier Transform:

Introduction to discrete Fourier transform and fast Fourier transform, circular and linear convolutions ,FFT algorithms, Radix-2 , Radix-4 and split radix algorithms, applications of FFT algorithms.

5. FIR Digital Filter Design:

Properties of linear phase FIR filter, frequency sampling design techniques, window design techniques (Uniform window, Hamming window, kaisc window), optimal FIR filter design.

6 . FIR Filter Design Characteristics of proto type analog filter, comparison of HR and FIR filters, impulse invariant transformation and bilinear transformation, design of digital, butterworth, chebyshev and elliptic filters, introduction to digital signal processor

Reference:

1. A.V. Openheim and R.W. Schafev, “Discrete Time Signal Processing”, Prentice Hall Englewood Cliffs, N.J. 1975