Discrete Fourier Transforms: Definitions, properties-linearity, shift, symmetry Properties- circular convolution – periodic convolution, use of tabular arrays, circular arrays, Stock ham’s method, linear convolution – two finite duration sequence, one finite & one infinite duration, overlap add and save methods.
Revised Bloom’s Taxonomy Level L1 – Remembering,L2 – Understanding,L3 – Applying,L4 – Analysing. L5 – Evaluating
Fast Fourier Transforms Algorithms: Introduction, decimation in time algorithm, first decomposition, number of computations, continuation of decomposition, number of multiplications, computational efficiency, decimation in frequency algorithms, Inverse radix – 2 algorithms.
Revised Bloom’s Taxonomy Level L1 – Remembering, L2 – Understanding, L3 – Applying, L4 – Analysing. L5– Evaluating
Design of IIR Digital Filters: Introduction, impulse invariant transformation, bilinear transformations, All pole analog filters- Butterworth & Chebyshev filters, design of digital Butterworth filter by impulse invariant transformation and bilinear transformation, Frequency transformations.
Revised Bloom’s Taxonomy Level L1- Remembering, L2 – Understanding, L3 – Applying. L4 – Analysing. L5 – Evaluating
Design of IIR Digital Filters (Continued): Design of digital Chebyshev –type 1filter by impulse invariant transformation and bilinear transformation, Frequency transformations.
Realization of IIR digital systems: direct form, cascade form and parallel form, Ladder structures for equal degree polynomial.
Revised Bloom’s Taxonomy Level L1 – Remembering, L2 – Understanding, L3 – Applying, L4 – Analysing, L5– Evaluating
Design of FIR Digital Filters: Introduction, windowing, rectangular, modified rectangular. Hamming, Hanning, Blackman window, design of FIR digital filters by use of windows, Design of FIR digital filters-frequency sampling techniques.
Realization of FIR systems: direct form, cascade form, linear phase form.
Revised Bloom’s Taxonomy Level L1 – Remembering, L2 – Understanding, L3 – Applying, L4 – Analysing, L5– Evaluating