MATLAB Implementation for Generating Sine Waves with Signal Analysis and FFT/IFFT Processing

Resource Overview

Generate sine waves, square waves, and white noise signals using MATLAB, display their time-domain waveforms, perform FFT analysis to show frequency spectra with customizable sampling rates, frequencies, and data lengths. Create RMS spectra, power spectra, and logarithmic RMS spectra for all three signals. Reconstruct signals using inverse FFT and display the recovered sine wave's time-domain waveform.

Detailed Documentation

This documentation presents a comprehensive MATLAB implementation for signal generation and analysis. The code generates three fundamental signal types: sine waves, square waves, and white noise signals, displaying their respective time-domain waveforms using MATLAB's plotting functions. The implementation performs Fast Fourier Transform (FFT) analysis to visualize frequency spectra, with customizable parameters including sampling rate, fundamental frequency, and data length. Users can modify these parameters through defined variables at the beginning of the script. The code calculates and plots three types of spectral analyses: Root Mean Square (RMS) spectra using the rms function, power spectra computed from squared magnitude values, and logarithmic RMS spectra applying log10 transformation to RMS values. Finally, the implementation demonstrates signal reconstruction using Inverse Fast Fourier Transform (IFFT). The original sine wave signal is recovered from its frequency domain representation and displayed in the time domain, validating the reversibility of the FFT process and ensuring proper phase preservation during reconstruction.