Realization of Digital Systems : Direct form realization of IIR systems, Cascade realization of an IIR systems, Parallel form realization of an IIR systems, Ladder structures : Continued fraction expansion of H(z), Example of continued fraction, Realization of a ladder structure, Example of a ladder realization. Design of Infinite Impulse Response Digital Filters : Introduction to filters, Impulse invariant transformation, Bilinear transformation, All pole analog filters : Butterworth and Chebyshev, Design of digital Butterworth and Chebyshev filters. Finite Impulse Response Filter Design : Windowing and the rectangular window, Other commonly used windows, Examples of filter designs using windows, The Kaiser window. Discrete Fourier Transforms : Definitions, Properties of the DFT, Circular convolution, Linear convolution. Fast Fourier Transform Algorithms : Decimation In Time (DIT) algorithm, Computational efficiency, Decimation In Frequency (DIF) algorithm.
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