Unit 1974: Fundamentals and Applications of Signal Processing

1. Introduction to Signal Processing

• Definition of signals
• Types of signals
  • Analog signals
  • Digital signals
• Importance and applications of signal processing in fields such as telecommunications, audio, image processing, biomedical engineering, and radar

2. Signal Representation and Analysis

• Mathematical representation of signals
  • Continuous-time and discrete-time signals
  • Signal properties and classifications
• Signal transformations
  • Time-domain representation
  • Frequency-domain representation
• Methods of analysis
  • Fourier analysis
  • Time-domain analysis

3. Signal Filtering

• Concept of filtering in signal processing
• Types of filters
  • Low-pass filters
  • High-pass filters
  • Band-pass filters
  • Band-stop filters
• Filter design techniques
  • Analog filter design basics
  • Digital filter design fundamentals
• Applications of filtering
  • Noise reduction
  • Signal enhancement

4. Digital Signal Processing (DSP)

• Fundamentals of DSP
• Analog-to-digital conversion (ADC)
  • Sampling process
  • Quantization
• Digital signal representation
• Digital filter design
• Advantages of DSP over analog signal processing

5. Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT)

• Principles and definition of DFT
• Computational challenges of DFT
• Fast Fourier Transform (FFT)
  • Algorithm overview
  • Computational efficiency
• Applications of DFT and FFT in signal processing
  • Real-time signal analysis
  • Spectrum analysis

6. Time-Frequency Analysis

• Limitations of traditional Fourier analysis for non-stationary signals
• Introduction to time-frequency analysis techniques
  • Short-Time Fourier Transform (STFT)
  • Wavelet Transform
• Applications in analyzing time-varying and non-stationary signals

7. Signal Sampling and Reconstruction

• Nyquist-Shannon sampling theorem
• Sampling rate considerations
• Aliasing effects and prevention
• Signal reconstruction techniques
  • Interpolation methods
• Challenges in analog-to-digital conversion

8. Adaptive Signal Processing

• Overview of adaptive signal processing
• Adaptive algorithms
  • Adaptive filters
  • Adaptive equalization
• Applications
  • Adaptive noise cancellation
  • System identification
  • Channel equalization

9. Applications of Signal Processing

• Telecommunications
• Audio processing
• Image processing
• Biomedical signal analysis
• Radar and sonar systems
• Other emerging applications