Review of Discrete Signals and Systems- Introduction to DFT – Properties of DFT – Linear and Circular Convolution-Auto correlation and cross correlation - FFT Algorithms –Decimation in time Algorithms, Decimation in frequency Algorithms – Overlap-add & Overlap-save methods.

Analog filters – Butterworth filter, Chebyshev filter, Analog Transformation of prototype LPF to HPF /BPF/ BSF, Impulse invariant method and Bilinear transformation method - Realization structures for IIR filters – Direct Form I, Direct Form II, Cascade and Parallel Form.

Design of Linear Phase FIR filter - Filter design using Rectangular Window, Hamming Window, Hanning Window, Blackman window - Frequency Sampling Techniques, Realization Structures for FIR filters - Comparison of FIR & IIR.

Fixed and Floating Point Representation - Quantization - Coefficient Quantization error - Product Quantization error - Truncation & Rounding errors - Limit cycle due to product round-off error - Limit cycle oscillation due to overflow in digital filters - Principle of Scaling - DSP Processor - Fixed and Floating point architecture principles.

Multirate Signal Processing: Decimation, Interpolation, Sampling rate conversion by a rational factor – Applications of Multirate signal processing. Introduction to Wavelets- Applications. Adaptive Filters: Introduction, Types of adaptive filters, Applications of adaptive filtering to equalization.