Multirate Synchronous Sampling of Sparse Multiband Signals

Multirate asynchronous sampling of sparse multiband signals.

Because optical systems have a huge bandwidth and are capable of generating low-noise short pulses, they are ideal for undersampling multiband signals that are located within a very broad frequency range. We propose a new scheme for reconstructing multiband signals that occupy a small part of a given broad frequency range under the constraint of a small number of sampling channels. The scheme, ...

Time-frequency localization and sampling of multiband signals

This paper begins with a review of some classical work of Landau, Slepian, Pollak and Widom concerning essentially timeand bandlimited signals and ends reviewing some recent work of Candès, Romberg and Tao that places specific but probabilistic limitations on essential timeand bandlimiting for finite signals and their discrete Fourier transforms. In between we outline some conceptual bridges fr...

Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals

We study the problem of optimal sub-Nyquist sampling for perfect reconstruction of multiband signals. The signals are assumed to have a known spectral support that does not tile under translation. Such signals admit perfect reconstruction from periodic nonuniform sampling at rates approaching Landau’s lower bound equal to the measure of . For signals with sparse , this rate can be much smaller ...

Sampling and Multirate Techniques for Complex and Bandpass Signals

Sparse signals estimation for adaptive sampling

This paper presents an estimation procedure for sparse signals in adaptive setting. We show that when the pure signal is strong enough, the value of loss function is asymptotically the same as for an optimal estimator up to a constant multiplier.