Signal Processing - II

Recap: Brief revision of sampling, analog and digital signal processing. Z-transform, region of convergence, connection with the DTFT, inverse z-transform. Advanced Discrete Systems: Representation of discrete-time signals on orthogonal bases; Analysis and design of inverse systems; Advanced implementation structures for discrete-time systems. FIR Digital Filter Design: Properties of linear phase FIR filters; Design using Windowing techniques; Optimum equiripple design using the Parks-McClellan method. IIR Digital Filter Design: Analog approximations (Butterworth, Chebyshev, and Elliptic); Transformation techniques (Bilinear transform, Impulse invariance); Frequency band transformations (Lowpass, Bandpass, Bandstop, and Highpass filters). Structures for the realization of Discrete Systems, VLSI + Digital Signal Processing: Direct Forms I and II, Cascade-Parallel Structures, Lattice and/or Ladder Structures. Union of Signal Processing and Machine Learning: Convolutional Neural Networks and their properties/features. Advanced topics in signal processing and applications: Introduction to spectral estimation, multirate signal processing, and/or other topics.