UNIT 1:
Introduction: Introduction of signals, systems and signal processing, discrete time systems, Discrete Time Fourier Transform, Z Transform.

UNIT 2:
Discrete Random Signals: Discrete Time random process, Average spectrum representation of infinite energy signals, response of linear system to random signals.
Power Spectrum Estimation:
Basic principles of spectrum estimation, estimates of the auto covariance, power spectrum, cross covariance and cross spectrum.

UNIT 3:
Discrete Fourier Transform: Discrete Fourier series, Discrete Fourier Transform (DFT), properties of DFT, linear convolution using the DFT, two dimensional DFT, FFT algorithms, Radix-2 , Radix-4 and split – Radix calculation.

UNIT 4:
Digital Filter Design Techniques: design of IIR and FIR digital filters , computer aided design of IIR and FIR, design of digital filter based on least square method , comparison of IIR and FIR design of digital filter based on least square method , comparison of IIR and FIR digital filters.

UNIT 5:
Linear Predictors And Optimum Linear Filters: Relationship between filter parameter and auto correlation sequence, forward and backward linear prediction.
Multi Rate Digital Signal Processing: decimation by a factor D , interpolation by factor I, sampling rate conversion by a rational factor I/D , filter design and implementation for sampling rate conversion