Fractional Fourier Transform with Fast Algorithm Implementation
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Resource Overview
Fractional Fourier transform program featuring a fast algorithm based on interpolation, decimation operations, and convolution computations.
Detailed Documentation
This document discusses a fast algorithm implementation for fractional Fourier transform that leverages interpolation, decimation operations, and convolution computations. The algorithm efficiently processes signal representations in the frequency domain while maintaining computational efficiency. Key implementation aspects include: using interpolation techniques to handle non-integer orders, applying decimation to reduce computational complexity, and utilizing convolution operations for spectral analysis. Through this approach, significant time and computational resources can be saved when processing signals. The algorithm typically involves steps like signal preprocessing, order parameter handling, and optimized convolution using FFT-based methods.
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