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EC-601 · Digital Signal Processing/Official Syllabus

Digital Signal Processing (EC-601) - Official Syllabus

1
Unit 1

Discrete-Time Signals and Systems

  • discrete-time signals
  • discrete-time systems
  • analysis of discrete-time linear time-invariant systems
  • discrete time systems described by difference equation
  • solution of difference equation
  • implementation of discrete-time systems
  • stability and causality
  • frequency domain representation of discrete time signals and systems
2
Unit 2

The z-Transform

  • The direct z-transform
  • properties of the z-transform
  • rational z-transforms
  • inversion of the z transform
  • analysis of linear time-invariant systems in the z-domain
  • block diagrams and signal flow graph representation of digital network
  • matrix representation
3
Unit 3

Frequency Analysis of Discrete Time Signals

  • Discrete fourier series (DFS)
  • properties of the DFS
  • discrete Fourier transform (DFT)
  • properties of DFT
  • two dimensional DFT
  • circular convolution
4
Unit 4

Efficient Computation of the DFT

  • FFT algorithms
  • decimation in time algorithm
  • decimation in frequency algorithm
  • decomposition for 'N' composite number
5
Unit 5

Digital filters Design Techniques

  • Design of IIR and FIR digital filters
  • Impulse invariant and bilinear transformation
  • windowing techniques rectangular and other windows
  • examples of FIR filters
  • design using windowing

Laboratory Experiments

  • Generation, analysis and plots of discrete-time signals.
  • Implementation of operations on sequences (addition, multiplication, scaling, shifting, folding etc).
  • Implementation of Linear time-invariant (LTI) systems and testing them for stability and causality.
  • Computation and plot of DTFT of sequences, verification of properties of DTFT.
  • Computation and plots of z-transforms, verification of properties of z-transforms.
  • Computation and plot of DFT of sequences, verification of properties of DFT.
  • Computation and plots of linear/circular convolution of two sequences.
  • Computation of radix-2 FFT- Decimation in time and Decimation in frequency.
  • Implementation of IIR and FIR filter structures (direct, cascade, parallel etc).
  • Implementation of various window design techniques (Rectangular, Bartlett, Hann, Hamming etc).

Reference Books

  • Digital Signal Processing — Oppenheim, Schafer — PHI Learning
  • Introduction to Digital Signal Processing — Johnny R. Johnson — PHI Learning
  • Digital Signal Processing — Proakis — Pearson Education
  • Theory and Application of Digital Signal Processing — Rabiner, Gold — PHI Learning
  • Digital Signal Processing- A MATLAB based Approach — Ingle, Proakis — Thompson, Cengage Learning
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