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UNIT – I Discrete Time Signals and Systems:

Analysis of discrete time linear shift invariant systems - Convolution sum- Discrete-time systems described by difference equations- Implementation of discrete time systems - Z-transform and system analysis.

UNIT – II Discrete time Fourier transform (DTFT):

DFT and properties - computation of DFT and IDFT using Fast Fourier Transform (FFT), radix-2 DIT and DIF algorithms

direct, cascade, frequency sampling and lattice structures - Structures for IIR systems: direct, cascade, parallel and lattice structures- Representation of numbers - Quantization of filter coefficients - Round-off effects in digital filters.

Design of linear phase FIR filters using window methods, frequency sampling method - Design of IIR filters from analog filters, Frequency transformation.

Multirate Digital Signal Processing, Sampling rate conversion – Sub-band coding of speech signals - Musical sound processing.