Topics Covered

Discrete time signals and systems. Discrete transforms: Discrete Fourier transform (DFT), Inverse Discrete Fourier Transform (IDFT), Fast Fourier Transform (FFT), Inverse Fast Fourier Transform (IFFT), The Z-transform and its application in Signal processing. Correlation and Convolution: Review of convolution, circular convolution, auto-correlation, cross correlation, implementation of correlation and convolution. Digital filters: Introduction to Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) digital filters, various techniques of FIR and IIR filter design, realization of FIR and IIR filters, finite-precision effects. A brief overview of artificial neural networks, fuzzy logic and genetic algorithm. MATLAB application to digital signal processing (DSP). Introduction to digital signal processing (DSP): Discrete-time signals and systems, analog to digital conversion, impulse response, finite impulse response (FIR) and infinite impulse response (IIR) of discrete-time systems, difference  equation, convolution, transient and steady state response. Discrete transformations: Discrete Fourier series, discrete-time Fourier series, discrete Fourier transform (DFT) and properties, fast Fourier transform (FFT), inverse fast Fourier transform, z-transformation - properties, transfer function, poles and zeros and inverse z-transform. Correlation: circular convolution, auto-correlation and cross correlation. Digital Filters: FIR filters- linear phase filters, specifications, design using window, optimal and frequency sampling methods; IIR filters-specifications, design using impulse invariant, bi-linear z-transformation, least-square methods and finite precision effects.