DIGITAL SIGNAL PROCESSING

MODULE 1

Basic Elements of a DSP system, Typical DSP applications, Finite-length discrete transforms, Orthogonal transforms – The Discrete Fourier Transform: DFT as a linear transformation (Matrix relations), Relationship of the DFT to other transforms, IDFT, Properties of DFT and examples. Circular convolution, Linear Filtering methods based on the DFT, linear convolution using circular convolution, Filtering of long data sequences, overlap save and overlap add methods, Frequency Analysis of Signals using the DFT (concept only required)

MODULE 2

Efficient Computation of DFT: Fast Fourier Transform Algorithms-Radix-2 Decimation in Time
and Decimation in Frequency FFT Algorithms, IDFT computation using Radix-2 FFT
Algorithms, Application of FFT Algorithms, Efficient computation of DFT of Two Real
Sequences and a 2N-Point Real Sequence

Module 3
Design of FIR Filters – Symmetric and Anti-symmetric FIR Filters, Design of linear phase FIR
filters using Window methods, (rectangular, Hamming and Hanning) and frequency sampling
method, Comparison of design methods for Linear Phase FIR Filters. Design of IIRDigital
Filters from Analog Filters (Butterworth), IIR Filter Design by Impulse Invariance, and
Bilinear Transformation, Frequency Transformations in the Analog and Digital Domain.
Module 4
Structures for the realization of Discrete Time Systems – Block diagram and signal flow graph
representations of filters, FIR Filter Structures: Linear structures, Direct Form, CascadeForm,
IIR Filter Structures: Direct Form, Transposed Form, Cascade Form and Parallel Form,
Computational Complexity of Digital filter structures. Multi-rate Digital Signal Processing:
Decimation and Interpolation (Time domain and Frequency Domain Interpretation ),
Anti- aliasing and anti-imaging filter.
Module 5
Computer architecture for signal processing: Harvard Architecture, pipelining, MAC,
Introduction to TMS320C67xx digital signal processor, Functional Block Diagram.
Finite word length effects in DSP systems: Introduction (analysis not required), fixed-point
and floating-point DSP arithmetic, ADC quantization noise, Finite word length effects in
IIRdigital filters: coefficient quantization errors. Finite word length effects in FFT
algorithms: Round off errors