Definitions, properties-linearity, shift, symmetry etc, circular convolution –periodic convolution, use of tabular arrays, circular arrays, stock hams’s method, linear convolution – two finite duration sequence, one finite & one infinite duration, overlap add and save methods.
Introduction, decimation in time algorithm, first decomposition, number of computations, continuation of decomposition, number of multiplications,computational efficiency, decimation in frequency algorithms, algorithm, inverse decimation in time and inverse decimation in frequency algorithms, decomposition for a composite number N=9.
Introduction, impulse invariant & bilinear transformations, all pole analog filters- Butterworth & chebyshev, design of digital Butterworth & chebyshev, frequency transformations
Introduction, windowing, rectangular, modified rectangular,Hamming, Hanning, blackman window(excluding Kaiser window), frequency sampling techniques.
Introduction, block diagrams and SFGs, realization of IIR systems- direct form, cascaded, parallel form, ladder structures for equal degree polynomial, realization of FIR systems – direct form, cascade form, linear phase realization.