2013/05/13 by Volker Pohl, Pohl, Volker, Fanny Yang +3 · 3 citations
Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.1305.2789
This paper considers the recovery of continuous signals in infinite\ndimensional spaces from the magnitude of their frequency samples. It proposes a\nsampling scheme which involves a combination of oversampling and modulations\nwith complex exponentials. Sufficient conditions are given such that almost\nevery signal with compact support can be reconstructed up to a unimodular\nconstant using only its magnitude samples in the frequency domain. Finally it\nis shown that an average sampling rate of four times the Nyquist rate is enough\nto reconstruct almost every time-limited signal.\n