Analog & digital communication Project

Part 1: Signal Processing and Constellation Diagrams

Operations:

• Calculates basis functions and coefficients using the trapezoidal rule.
• Plots the input signals (si), basis functions (phi_j), and signals after subtracting contributions from other basis functions (gi).
• Plots the constellation diagram based on the calculated coefficients (sij).
• Calculates the energy of each symbol using the constellation diagram.

Part 2: Communication System Simulation

Operations:

• Plots the polar NRZ binary signal.
• Introduces additive white Gaussian noise (AWGN) to the encoded signal at different signal-to-noise ratios (SNR).
• Plots the constellation diagram after adding noise for various SNR values.
• Computes the bit error rate (BER) for different SNR values.
• Compares the practical BER with the theoretical BER using the Q-function.
• Plots the practical and theoretical BER against the signal-to-noise ratio in dB.

Functions

plotting Function:

• Description: A function designed to plot waveforms stored in a matrix.
• Functionality:
  • Creates a new figure and loops through each row of the matrix to plot the waveforms in separate subplots.
  • Each waveform is plotted using a different color specified by the colorNames array.
  • Adds labels, title, and grid to each subplot.

pnrz Function:

• Description: Implements polar non-return-to-zero (PNRZ) encoding.
• Functionality:
  • Returns the overall PNRZ signal x and the matrix X containing individual bit signals.