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.

Discrete Fourier Transform and its properties – Circular convolution – Linear convolution of two finite length sequences through circular convolution, Sectioned convolutions –Relationship between Z-Transform, Fourier Transform and DFT, 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 finite word length effects in digital filters.

Architecture and features of signal processor and motion controller.



  1. Oppenheim and Schaffer, ‘Discrete time Signal processing’, PHI, 1992.

  2. Ludemann L. C., “Fundamentals of Digital Signal Processing”, Harper and Row publications, 1992.

  3. Rabiner & Gold, “Theory and applications of Digital signal processing”, PHI, 1992.

  4. Hamid A. Toliyat and Steven G. Campbell “DSP Based Electro Mechanical Motion Control” CRC Press New York, 2004.