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固定小数点ハイダイナミックレンジ高速フーリエ変換

摘要

A method for generating a Fast Fourier Transform (FFT) is disclosed. The method includes providing an input signal to two or more fixed-point FFT algorithms that apply different scaling to reduce growth of their output, resulting in each of the FFT algorithms yielding an array of FFT output values characterized by a different gain. The method further includes determining, on a per-FFT output value basis, whether an output value of an FFT algorithm with a relatively high gain was clipped due to saturation. If not, then the output value of that FFT algorithm is included in the final FFT. Otherwise, an output value of an FFT algorithm with a lower gain is included in the final FFT. Reconstructing the final FFT by such combination of values from different FFTs allows benefiting from the advantages of both higher- and lower-gain FFTs while avoiding or minimizing their disadvantages.

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