Fractional Fourier Transform
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The Fractional Fourier Transform (FrFT) is a mathematical tool for signal analysis that decomposes signals into different frequency components. Unlike the conventional Fourier Transform, FrFT effectively handles non-stationary and non-linear signals, making it widely applicable in signal processing domains. The chirp signal decomposition-based implementation of FrFT employs a chirp signal methodology, where signals are decomposed and transformed to extract enhanced characteristics and spectral information. This approach enables comprehensive and detailed signal analysis, which is crucial for researching and understanding complex signals. Code implementation typically involves discretizing the transform using chirp multiplication and convolution operations, often optimized through fast algorithms resembling FFT structures. Key functions may include parameterized kernel generation and spectral rotation techniques to achieve variable fractional orders.
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