Classification of Signals and systems, Classification of signals, Singularity Functions, Amplitude and Phase Spectra, Classification of System, Simple Manipulations of Discrete-time Signals, Representation of Systems, Analog-to-Digital Conversion of Signals. Z-Transforms - Introduction, Definition of the z-Transforms, Properties of Z-Transform, Evaluation of the Inverse Z-Transform.

Linear time invariant systems, Properties of a DSP System, Difference Equation and its Relationship with System Function, Impulse Response and Frequency Response, Frequency Response.

Discrete and fast Fourier transforms, Discrete Convolution, Discrete-Time Fourier Transform (DTFT), Fast Fourier Transform (FFT), Computing of Inverse DFT by Direct DFT, Composite-radix FFT, Fast (sectioned) Convolution, Correlation.

Finite impulse response (fir) filters Introduction, magnitude response and phase response of digital filters, Frequency response of Linear phase FIR filters, design techniques for FIR filters, design of optimal linear phase FIR filters.
Infinite impulse response (iir) filters Introduction, IIR filter designed by approximation of derivatives, IIR filter design by impulse invariant method, IIR filter design by the bilinear transformation, butter worth filters Chebyshev filters, Inverse Chebyshev filters, Elliptic filters, Frequency Transformation.

Realisation of digital linear systems Introduction, basic realisation block diagram, signal-flow graph, basic structures for IIR systems, basic structures for FIR systems applications of digital signal processing. voice processing, application of radar, applications to image processing, Introduction to Wavelets.