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

Analog filters – Butterworth filters, Chebyshev Type I filters (upto 3rd order), Analog Transformation of prototype LPF to BPF /BSF/ HPF. Transformation of analog filters into equivalent digital filters using Impulse invariant method and Bilinear transform method- Realization structures for IIR filters – direct, cascade, parallel forms.

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 – Transversal and Linear phase structures- Comparison of FIR & IIR.

Representation of numbers-ADC Quantization noise-Coefficient Quantization error-Product Quantization error-truncation & rounding errors -Limit cycle due to product round-off error- Roundoff noise power-limit cycle oscillation due to overflow in digital filters- Principle of scaling., Introduction to DSP Processor.

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