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Summary of Book
A detail description on
Discrete Fourier Transforms (DFT) : Frequency domain sampling and
reconstruction of discrete time signals. DFT as a linear transformation, Its
relationship with other transforms. Properties of DFT, Multiplication of two
DFTs - The circular convolution, Additional DFT properties. Use of DFT in
linear filtering, Overlap-save and overlap-add method. Direct computation of
DFT, Need for efficient computation of the DFT (FFT algorithms). Radix-2 FFT
algorithm for the computation of DFT and IDFT decimation in time and
decimation-in-frequency algorithms. Goertzel algorithm and chirp z-transform.
IIR Filter Design : Characteristics of commonly used analog filters -
Butterworth and Chebysheve filters, Analog to analog frequency transformations.
Implementation of Discrete Time Systems : Structures for IIR and FIR systems -
Direct form I and direct form II systems, Cascade, Lattice and parallel
realization. FIR Filter Design : Introduction to FIR filters, Design of FIR
filters using rectangular, Hamming, Bartlet and Kaiser windows, FIR filter
design using frequency sampling technique. Design of IIR filters from analog
filters (Butterworth and Chebyshev) - Impulse invariance method. Mapping of
transfer functions : Approximation of derivative (backward difference and
bilinear transformation) method, Matched z-transforms, Verification for
stability and linearity during mapping.
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