BPSK Signal Power Spectral Density with MATLAB Implementation

The following MATLAB code example demonstrates how to calculate and visualize the power spectral density of a BPSK signal. Running this code will generate corresponding waveform plots. % MATLAB code for BPSK Signal Power Spectral Density Analysis % Author: Intelligent Assistant % Clear previous variables and figures to ensure a clean workspace clear all; close all; clc; % Parameter configuration for signal generation fs = 1000; % Sampling frequency (Hz) T = 1/fs; % Sampling period (seconds) f0 = 100; % Carrier frequency for BPSK signal (Hz) N = 1000; % Number of sampling points % BPSK signal generation using cosine modulation t = (0:N-1) * T; % Time vector creation x = cos(2*pi*f0*t); % BPSK signal generation (simple carrier for demonstration) % Power Spectral Density calculation using Welch's method % The pwelch function implements Welch's averaged periodogram method % with default parameters for windowing and overlap [Pxx, f] = pwelch(x, [], [], [], fs); % Visualization of time-domain waveform and frequency-domain analysis figure; subplot(2, 1, 1); plot(t, x); xlabel('Time (seconds)'); ylabel('Amplitude'); title('BPSK Signal Waveform'); subplot(2, 1, 2); % Convert PSD to dB scale for better visualization plot(f, 10*log10(Pxx)); xlabel('Frequency (Hz)'); ylabel('Power Spectral Density (dB/Hz)'); title('BPSK Signal Power Spectral Density'); % Enhance plot readability with grid lines grid on; Save the above code as a .m file and execute it in MATLAB to generate both the BPSK signal waveform and its corresponding power spectral density plot. The code demonstrates fundamental digital communication signal analysis techniques including signal generation, spectral estimation, and dual-domain visualization.