The Fourier Ratio and complexity of signals

K. Aldaleh, W. Burstein, G. Garza +12

We study the Fourier ratio of a signal $f:{\mathbb{Z}}_N\to \mathbb{C}$, \[ \mathrm{FR}(f)\ :=\ \sqrt{N}\,\frac{\|\widehat f\|_{L^1(μ)}}{\|\widehat f\|_{L^2(μ)}} \ =\ \frac{\|\widehat f…