Chirp signal spectrum — frequency sweep, FFT, and PSD (Matlab & Python)
Generate a linear chirp, view the spectrogram/FFT, and estimate PSD in Matlab or Python — how the instantaneous frequency sweep fills the spectrum.
Fourier Analysis
Gaussian pulse and its PSD — generate, FFT, and spectrum shape
Generate a Gaussian pulse, compute its FFT/PSD, and see why a Gaussian time pulse has a Gaussian spectrum.
Generating Basic signals – Rectangular Pulse and Power Spectral Density using FFT
Numerous texts are available to explain the basics of Discrete Fourier Transform and its very efficient implementation – Fast Fourier Transform (FFT). Often we are confronted with the need to generate simple, standard signals (sine, cosine, Gaussian pulse, square wave, isolated rectangular pulse, exponential decay, chirp signal) for simulation purpose. I intend to show (in a series of articles) … Read more
Square wave and its PSD — harmonics via FFT
Generate a square wave, take its FFT/PSD, and recognize the odd-harmonic 1/n envelope predicted by Fourier series.
Plot FFT of sine and cosine in Matlab — spectrum peaks done right
Matlab walk-through: sample a sinusoid, take FFT, build the frequency axis, and read peak locations — with Python twin link and FFT tool.
White noise in Matlab — generate AWGN, plot PSD, check variance
Simulate white / Gaussian noise in Matlab: generate with randn, verify variance and flat PSD, then reuse the noise model in BER simulations.
Fourier series formula — coefficients, harmonics, and Matlab examples
Fourier series fundamentals: representing periodic signals with harmonics, computing coefficients, and links to Gibbs phenomenon and Parseval.