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Digital Signal Processing

Applications of Digital Signal Porcessors

Advantages of DSP Over Analog Signal Porcessors

Discrete Time Signals - Sequences

Examples of Sequences

Introduction of Systerms

      Static and Dynamic Systerms
      Causal and Non-Causal Systerms
      Problem
      Linear and Non-Linear Systerms
      Time in Variant and Time Varying Systerms
      Stable and Unstable Systerms
      Linear Shift-Invariant Systerms

Stability and Causality

Linear Constant-Coeffiaient Difference Epvations

Frequency-domain Representation of Discrete-Time Signal and Systerms

Applications of Z Transform

Example

System function and Impulse Response

Stability and causality

Frequency Response

Properties of Frequency Response
Example

Realization of IIR Systems

Direct form-1 Structure

Limitations of Direct Form-1

Direct Form-2 Structure

Limitations of Direct Form-2

Cascade form of Realization

Parallel form Of Realization

DFS Representaction of Periodic Sequences

Exponential Form of DFS

Trignometric Form of DFS

Relationship Between Exponential and Trignometric Forms of DFS

Properties of DFS

      Linearity
      Time Shifting
      Symmetry Property
      Periodic Convolution

The Properties of DFS

DFT of Even and Odd sequences

Time Reversal of the Sequences

Circular Frequency Shift

Complex Conjugate property

DFT of Delayed sequence

DFT of Real Valued Sequences

Moltiplication of Two Sequences

Circular Convolution of Two Sequences

Parsevals'Theorem

Circular Correlation

Properties of DFT

Linear Convolution Using DFT

Example

Computation of DFT

Overlap-Add Method

Overlap-Save Method

Example

Relation Between DFT and Z-transform

Comparison Between DTFT and DFT

Fast Fourier Transform

Decimation-in-Time(DIT) Radix-2 FFT

Decimation-in-Frequency(DIF) Radix-2 FFT

Comparison of DIT and DIF

Example

FFT With General Radix-N