Discrete Fourier Transforms: Review of main concepts form Signals and Systems course- Frequency domain sampling and reconstruction of discrete time signals - The DFT as a Linear Transformation - Relationship of the DFT to other Transforms - Properties of DFT - Linear Filtering methods based on DFT - Efficient computation of the DFT-FFT Algorithms. Efficient computation of DFT of Two real sequences - efficient computation of the DFT of a 2N- Point Real sequences - Use of FFT in Linear filtering and correlation.
Digital Filters: Introduction, Specifications of practical filters.
- FIR Filters: Symmetric and anti-symmetric FIR filters, Design of linear phase FIR filter using Windows / optimization techniques. Design of Linear phase FIR Filters.FIR filters for harmonic elimination.
- IIR Filters: Design from Analog filters - Design by Approximation of Derivatives, Impulse Invariance and Bilinear Transformation. IIR filters for extraction of fundamental frequency.
- Characteristics of commonly used Analog filters, Frequency transformations for analog and digital filters.
Digital Filters Realizations: Structures for the realization of Discrete time system - Structures for FIR systems - direct form structures, cascade form structures, frequency sampling structures, Lattice structures. Structures for IIR systems - Direct form structures, Cascade form structures, Parallel form structures and Analysis of Finite Word Length Effect and limit cycle oscillations in recursive systems.
Applications of DSP:
Multirate Digital Signal Processing, Sampling rate conversion, Decimation and interpolation, Introduction to QMFs.
Linear predictive coding, forward linear prediction, Levinson-Durbin algorithm, signal synthesis, Application in power systems