Waveform Synthesis and Decomposition using MATLAB

In this paper, we explore waveform synthesis and decomposition techniques using MATLAB programming. The implementation successfully generates triangular waves and square waves through Fourier series synthesis methods. The code utilizes MATLAB's built-in functions for signal processing and includes custom algorithms for waveform generation. Spectral analysis is performed using FFT (Fast Fourier Transform) to examine the frequency characteristics and properties of the synthesized waves. The documentation provides comprehensive explanations of the mathematical foundations, including harmonic analysis and Fourier coefficients calculation. Detailed code comments and implementation guidelines are included to help readers understand the core concepts of waveform synthesis, covering aspects like sampling frequency, amplitude normalization, and spectral resolution. This resource serves as an educational tool for students and researchers, offering practical MATLAB examples for deeper understanding of waveform properties and spectral decomposition techniques in signal processing applications.