Title: Digital Signal Processing Semester: First Semester M Tech (VLSI) 300, 3 Credits Prerequisites: Signals and Systems Continuous  Discrete time signals, EvenOdd signals, Periodic  Nonperiodic signals, DeterministicRandom signals, EnergyPower signals, (Continuous/Discrete) signals  unit step, unit impulse, sinusoidal and complex exponential signals. Operations on signals. Representation, LinearNonlinear, CausalNoncausal, Time invariantTime variant, systems with memory, systems without memory; BIBO stability, Feedback system. LTI system – Response of LTI system, Convolution, Properties (Continuous/Discrete); Fourier Representations (FS, FT, DTFS, DTFT, DFT) and Sampling: Fourier series (FS)
for periodic signals; Fourier transform (FT)  Properties of continuous time
FT; Frequency response of continuous time LTI systems. Discrete time Fourier
series (DTFS) Discrete Time Fourier transform (DTFT)  Properties of DTFT;
Frequency response of discrete time LTI systems. Sampling theorem, Reconstruction of signal, Aliasing, Sampling of discrete time signals; Interrelationship amongst different representation and Transforms Introduction to DFT: Discrete Fourier Transform and its relationship with DTFT. Filtering, Filter Design, Adaptive filters: Analog filter deisgn  Butterworth filter design (low pass) IIR Filter Design: Impulse Invariant method, Bilinear Transformation, Butterworth filters FIR: Filter Design, FIR using windowing Realization structures: Direct from I, Direct form II Introduction
to adaptive filters (Wiener filters, Adaptive Wiener) Text Books/References: 1. John G. Proakis and Dimitris K Manolakis, “Digital Signal Processing”, Prentice Hall, 4 edition, 2006. 2. Alan V. Oppenheim, Alan S. Willsky, S. Hamid Nawab, “Signals and Systems”, Prentice Hall India Private Limited, 1997.
3. Simon Haykin, Barry Van Veen, “Signals and Systems”, John Wiley and Sons, Wiley 2^{nd} Edition, 2005.
