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Few Topics are:

• theory of digital signal processing (DSP)
  
• Fourier and Laplace transforms
  
• linearity and shift invariance
  
• linear analog systems
  
• discrete time systems
  
• signal analysis using Fourier transforms, linear system
  
• analysis, Filter design
  
• discrete Fourier transform and its properties
  
• sampling theorem
  
• continuous and discrete time transforms
  
• discrete time, linear shift invariant systems
  
• linear difference equations and the impulse response
  
• z-transform and discrete Fourier transform
  
• design and implementation of digital filters
  
• bandpass sampling
  
• polyphase filters and filterbanks
  
• adaptive filters
  
• MATLAB to implement Fourier analysis and digital filter design.
• spectral analysis
  
• windowing functions
  
• random signal theory and analysis
  
• LTI system response to random signals
  
• Modeling communication signals as random processes
  
• Baseband signal processing
  
• signal synthesis and filter design for communication
  
• Statistical signal processing
  
• signal detection and synchronization

Complex Topics are:

• Digital Signal Processing
• 16-bit fixed-point digital signal processors (DSPs)
  
• Optimisation
  
• programmable logic devices
  
• field programmable gate arrays
  
• computer hardware and signal processing
  
• DSP architectures