Introduction to Discrete Fourier Transform (DFT) and its relationship with other transforms. DFT properties. Introduction to PSoC 3/5, PSoC 3/5 Architecture – Block Diagram, System Wide Resources, I/O Interfaces, CPU Subsystem, Memory Organization, Digital Subsystems, Analog Subsystems.
Direct computation of DFT, Need for efficient computation of DFT (FFT Algorithms). Radix2 FFT algorithm for the computation of DFT and IDFT – decimation in time and decimation in frequency algorithms. Real Time Transforms: Discrete Cosine Transform, Walsh Transform, Hadamard Transform.
IIR Filter Design:
Design of IIR filters from analog filters (Butterworth and Chebyshev). Impulse invariance method and bilinear transformation methods. Verification for stability and linearity during mapping.
Implementation of discrete time systems:
Structures for IIR and FIR systems -Direct form I, Form-II, Cascade and parallel realizations. Multirate Signal Processing: Concepts of multirate signal processing, Sampling rate converter, decimators and interpolators.
Introduction to FIR filters, Design of FIR filters using Hamming, Rectangular, Barlet window method, FIR filter design using frequency mapping method. Adaptive Digital Filters: Concepts of Adaptive filtering, LMS adaptive algorithm, Recursive least square algorithm.