Computing Continuous-Time Fourier Transform Using FFT

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Resource Overview

This program implements Fast Fourier Transform (FFT) to calculate continuous-time Fourier transform, outputting amplitude-frequency spectrum data pairs (f, AW) through signal sampling and spectral analysis techniques.

Detailed Documentation

This program utilizes the Fast Fourier Transform (FFT) algorithm to compute the continuous-time Fourier transform. The implementation involves sampling continuous signals at appropriate rates and applying FFT operations to convert time-domain data into frequency-domain representations. Through this computational process, we obtain output results in the form of amplitude-frequency spectrum data pairs (f, AW), where f represents frequency points and AW denotes corresponding amplitude values. These results enable comprehensive analysis of signal frequency characteristics and amplitude distribution patterns, providing essential insights for frequency-domain signal processing applications. The algorithm ensures efficient computation while maintaining spectral accuracy through proper windowing and sampling parameter selection.

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