Jupyter Notebook Examples

Continuous-Time Signals and Systems using sigsys

• Introduction to Python and the Jupyter Notebook
• Rectangle and Triangle Pulses Defined
  • More Signal Plotting
    • Simple Cases:
    • Custom Piecewise:
• Energy and Power Signals
  • Power in the Sum of Two Sinusoids
• Fourier Series and Line Spectra Plotting
  • Pulse Train
  • Example: Pulse Train Line Spectra
  • Example: Trapezoidal Pulse
• Fourier Transforms
  • Example: Rectangular Pulse
  • Example: Text Problem 2.31a Drill Down
  • Example: Modulation Theorem
  • Example: Representing a Bandlimited Signal
• Convolution
• Spectrum of PN Sequence (exact)
• Spectrum of PN Sequence (approx)
  • Cross Correlation and Signal Delay
• Spectral Containment Bandwidth (text problem 2.55)
  • Example:
• Filter Analysis
  • Example: Discrete-Time Chebyshev Type I Bandpass Filter
  • Example: Continuous-Time Bessel Bandpass Filter
  • Second-Order Butterworth Lowpass Response
    • Obtaining the Step Response via Simulation

FIR and IIR Filter Design

• Filter Design Using the Helper Modules
• Design From Amplitude Response Requirements
• Linear Phase FIR Filter Design
  • Design Examples
    • Example 1: Lowpass with \(f_s = 1\) Hz
  • A Design Example Useful for Interpolation or Decimation
• Traditional IIR Filter Design using the Bilinear Transform
  • IIR Design Based on the Bilinear Transformation
    • Example: Lowpass Design Comparison
      • Frequency Response Comparison
  • A Half-Band Filter Design to Pass up to \(W/2\) when \(f_s = 8\) kHz
  • Amplitude Response Bandpass Design

Multirate Processing

• Multirate Signal Processing Using multirate_helper
  • The rate_change Class
  • A Simple Example
    • Time Domain
    • Frequency Domain
  • The multirate_FIR Class
  • FIR Interpolator Design Example
  • The multirate_IIR Class
  • IIR Decimator Design Example

Convolutional Codes

• Convolutional Coding
  • Rate 1/2
    • Rate 1/2 Hard Decision Decoding
      • Weight Structure Bounds BEP
      • BEP Simulation
    • Soft Decision Decoding BEP Simulation
  • Rate 1/3
    • Rate 1/3 Hard Decision Decoding
      • Weight Structure Bounds BEP
      • BEP Simulation
    • Soft Decision Decoding BEP Simulation

Block Codes

• Block Codes
  • Single Error Correction Block Codes
    • Cyclic Codes
    • Hamming Code
  • Multiple Error Correction Block Codes
    • Golay Code
    • Bose-Chaudhuri-Hocquenghem (BCH) Codes
    • Reed-Solomon Codes