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 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.