Analog to Digital conversion: Sampling Theorem, Quantization error, aliasing. Revision of Discrete Time signal and system. Classification and its properties. Discrete Fourier Transform (DFT), inverse DFT, DFT properties, Eight point DFT, DFT frequency response characteristics, frequency selectivity, spectral leakage, Gibbs phenomenon, Equivalent noise bandwidth, overlap correlation. Fast Fourier Transform (FFT), butterfly diagram, decimation in time and frequency of FFT. Revision of Z-transform, properties of Z-transform. Inverse Z-transform, complex inversion integral, inversion by partial fractions, inversion by divisions, complex convolution theorem. Application of Z-transform to the analysis of discrete time systems.

Design and analysis of Digital Filters (FIR & IIR): realization structure for FIR and IIR filters. Direct form-I, Direct form-II, cascade parallel lattice, frequency sampling and fast convolution method. Design of infinite impulse response (IIR) filters. Introduction to digital filter design, analog filter approximations (analogue low pass Butterworth, chebyshev, Elliptic filters) frequency band transformation, digital filter design equations (for lowpass, highpass,bandpass, bandstop filters) IIR digital filter design techniques and procedure using bilinear transformation, impulse invariant and pole placement methods. Design of FIR filters. Introduction to FIR filter and its characteristics, properties of FIR filters, window functions, FIR filter design using hamming, hanning and Kaiser window methods. Introduction to digital image processing.

Course Syllabus