Digital Signal Processing 21EC42

Digital Signal Processing 21EC42

Module 1`

Discrete Fourier Transforms (DFT): Frequency domain sampling and Reconstruction of Discrete Time Signals, The Discrete Fourier Transform, DFT as a linear transformation, Properties of the DFT: Periodicity, Linearity and Symmetry properties, Multiplication of two DFTs and Circular Convolution

Module 2

Additional DFT Properties, Linear filtering methods based on the DFT: Use of DFT in Linear Filtering, Filtering of Long data Sequences. Fast-Fourier-Transform (FFT) algorithms: Efficient
Computation of the DFT: Radix-2 FFT algorithms for the computation of DFT and IDFT decimation in-

Module 3

Design of FIR Filters: Characteristics of practical frequency-selective filters, Symmetric and Anti-
symmetric FIR filters, Design of Linear-phase FIR (low pass and High pass) filters using windows – Rectangular, Hamming, Hanning, Bartlett windows. Structure for FIR Systems: Direct form, Cascade form and Lattice structures

Module 4

IIR Filter Design: Infinite Impulse response Filter Format, Bilinear Transformation Design Method, Analog Filters using Low pass prototype transformation, Normalized Butterworth Functions, Bilinear Transformation and Frequency Warping, Bilinear Transformation Design Procedure, Digital Butterworth
(Lowpass and Highpass) Filter Design using BLT. Realization of IIR Filters in Direct form I and II

Module 5

Digital Signal-Processors: DSP Architecture, DSP Hardware Units, Fixed point format, Floating point Format, IEEE Floating point formats, Fixed point digital signal processors, FIR and IIR filter
implementations in Fixed point systems

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