Empirical evaluation of two Deterministic Sparse Fourier Transforms

This paper empirically evaluates a recently proposed Deterministic Sparse Fourier Transform algorithm (hereafter called DSFT) for the first time. Our experiments indicate that DSFT is capable of guaranteed general frequency-sparse signal recovery using subNyquist sampling for realistic bandwidth val...

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description This paper empirically evaluates a recently proposed Deterministic Sparse Fourier Transform algorithm (hereafter called DSFT) for the first time. Our experiments indicate that DSFT is capable of guaranteed general frequency-sparse signal recovery using subNyquist sampling for realistic bandwidth values. Furthermore, we show that both variants of DSFT have fast reconstruction runtimes. In fact, the sublinear-time DSFT variant is shown to be faster than a traditional Fast Fourier Transform (FFT) for highly-sparse wideband signals.
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subjects Algorithms
Bandwidth
Discrete Fourier transforms
Fast Fourier transforms
Fourier transforms
Frequency
Image reconstruction
Runtime
Sampling methods
Signal Processing
Signal processing algorithms
Wideband
title Empirical evaluation of two Deterministic Sparse Fourier Transforms
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