Review of FT, DTFT, DFT. Interpreting DFT values, Frequency resolution and DFT bins. Properties of DFT, Limitations of DFT. Circular Convolution, DFT computation methods: Radix FFTs: Decimation in time and Decimation in frequency FFT, DCT. IIR Filters: Analog filters: Properties and Design of Butterworth, Chebychev and Elliptical filters. Frequency transformation. Review of Z-transform and its properties: Structure of Digital Filters. Methods of Converting Analog Filters to Digital Filter (IIR): Approximating the Integration: bilinear transformation, pole-zero mapping, Impulse invariant transformation. FIR filters : Structure and properties of FIR filters. Methods of designing the FIR filters: Window-based methods, Frequency Sampling Method. Introduction to the programmed digital systems. General Architecture of Digital Signal Processors, Instruction set, Introduction to Programming digital systems.  Example of the TMS320F243,  Application of DFT for Linear filtering.