Computing Fourier Transform of Continuous Square Wave Signals
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The computation of Fourier transform for continuous square wave signals represents a fundamental signal processing technique. Fourier coefficients serve as numerical descriptors characterizing square wave signals in the frequency domain. Through Fourier transform calculations, we obtain spectral information of square wave signals, enabling further signal analysis and processing. In MATLAB implementation, the fft() function can be applied to discretized square wave samples, while analytical solutions involve integrating the piecewise-constant function over one period. The Fourier series expansion reveals harmonic components with amplitudes following a sinc function pattern, where key parameters include fundamental frequency, duty cycle, and amplitude scaling. Algorithm implementation typically requires proper sampling rate selection to avoid aliasing and windowing techniques to minimize spectral leakage.
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