Fourier Analysis of Square Waves

In this document, we will comprehensively discuss Fourier analysis of square waves and utilize MATLAB to decompose square waves into Fourier series, subsequently plotting the waveform curves. A square wave represents a specific waveform composed of a series of pulse signals. Fourier analysis serves as a mathematical method for decomposing complex waveforms into simple sinusoidal components. Through MATLAB programming, we can efficiently transform square waves into Fourier series using key functions like fft() for fast Fourier transform or implementing symbolic computation with symsum() for series summation. The algorithm typically involves calculating harmonic coefficients through integration techniques and reconstructing the waveform using partial sum approximations. For visualization, we employ plot() function with proper axis labeling and sampling frequency configuration to accurately display waveform characteristics. This approach facilitates deeper understanding of square wave properties and behavioral patterns. Let's begin the implementation!