OBJECTIVE: To read the level of comprehension in the theory and application of digital signal processing systems.
Linearity, shift - invariance - Unit sample response characterisation -Convolution summation , causality, linear difference equations with constant coefficients and their solution using Z-transform - System function concept.
Fourier transform of a sequence, Frequency response of a system - Frequency response of first order and second order systems- circular convolution - Discrete Fourier Transform and its properties - Linear convolution of two finite length sequence through circular convolution, Sectioned convolutions - Relationship between Z-transform, Fourier Transform and the Discrete Fourier Transform, Digital filter sampling.
Introduction to radix-2 FFT- Decimation in time and decimation in frequency radix2 algorithm- FFT Fortran program.
Amplitude and phase response of FIR filters- Linear phase filters- Windowing technique for the design of linear phase FIR filters - Rectangular- Hamming and Kaiser windows- Frequency Sampling technique- Introduction to optimal filters.
Properties of IIR digital filters - Design of IIR filters from continuous time filters - Impulse invariance and Bilinear transformation technique - Finite Word Length effects - Elementary ideas of the finite word length effects in digital filters.
