1. Deepen comprehension of Fast Fourier Transform (FFT) fundamental principles through practical experiments. 2. Explore the relationship between FFT point count and spectral resolution, and analyze connections between zero-padded sequence FFT and original sequence FFT implementations. Discrete Fourier Transform (DFT) and convolution represent two fundamental operations in signal processing, involving extensive applications in signal and system analysis/synthesis. These operations are interconnected: convolution can be implemented via DFT, while numerous algorithms including correlation, filtering, and spectral estimation can be DFT-based. Conversely, DFT can also be realized through convolution operations, demonstrating their mathematical equivalence in digital signal processing.
MATLAB
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