Digital Signal Processing :

 Unit  I :
DiscreteTime Signals And Systems: Sequences, Discrete time systems, LTI Systems, Frequency domain representation of Discrete time signals and systems Fourier Transform.
ZTransform: ZTransform, Properties of ROC, Inverse ZTransform, ZTransform Properties.
 Unit  II :
Sampling of Continuous Time Signals: Sampling And Reconstruction Of Signals, Frequency Domain Representation Of Sampling, Discrete Time Processing Of Continuous Time Signals, Continuous Time Processing Of Discrete Time Signals, Changing The Sampling Rate Using Discrete Time Processing, Multirate Signal Processing, Digital Processing Of Analog Signals, Over sampling And Noise Shaping in A/D And D/A Conversion
Transform Analysis of LTI Systems: Frequency Response Of LTI Systems, System Functions, Frequency Response For Rational System Functions, Magnitude Phase Relationship, All Pass Systems, Minimum Phase Systems, Linear Systems With Generalized Linear Phase.
 Unit  III :
Discrete Fourier Transform: Discrete Fourier transform, Properties, Linear convolution using DFT, DCT,
Efficient computation of the DFT, Goertzel algorithm, Decimation in time and decimation in frequency FFT algorithm, Practical considerations, Implementation of the DFT using Convolution, Effects of Finite Register Length.
Fourier Analysis of Signals Using DFT: DFT analysis of sinusoidal signals, Timedependent Fourier transform; Block convolution, Fourier analysis of Nonstationary and stationary random signals, Spectrum analysis of Random signals using estimates of the autocorrelation sequence
 Unit  IV :
Structures For DiscreteTime Systems: Block Diagram Representation, Signal Flow Graph Representation, Basic Structures For IIR Systems: Direct Form, Cascade Form, Parallel Form, and Feedback In IIR Systems. Transposed Forms, Basic Network Structures For FIR Systems: Direct Form, Cascade Form, Structures For LinearPhase FIR Systems.
Overview of finite precision Numerical Effects, Effects of Coefficient quantization, Effects of Roundoff Noise in Digital Filters, Zeroinput Limit cycles in Fixedpoint Realizations of IIR Digital filters.
 Unit  V :
Filter Design Techniques: Design of DT IIR Filters from continuoustime filters, Design of FIR filters by windowing, Kaiser Window method, Optimum Approximations of FIR Filters, FIR Equiripple approximation.
 Unit  VI :
Applications: Spectral analysis, imaging & Instrumentation
