Syllabus
Unit 1
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.
Unit 2
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.
Unit 3
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.
‘Digital Signal Processing’ is a course offered in the sixth semester of B. Tech. in Electrical and Electronics Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham
