Sampling principle for continuous signals with time-varying bands

Sampling Principle for Continuous Signals with Time-Varying Bands

On Discrete Sampling of Time-varying Continuous-time Systems

. We consider a multivariate continuous time process, generated by a system of linear stochastic di¤erential equations, driven by white noise and involving coe¢ cients that possibly vary over time. The process is observable only at discrete, but not necessarily equally-spaced, time points (though equal spacing signi…cantly simpli…es matters). Such settings represent partial extensions of ones s...

New Formulas for Irregular Sampling of Two-Bands Signals

Many sampling formulas are available for processes in baseband   , a a  at the Nyquist rate π a . However signals of telecommunications have power spectra which occupate two bands or more. We know that PNS (periodic non-uniform sampling) allow an errorless reconstruction at rate smaller than the Nyquist one. For instance PNS2 can be used in the two-bands case at the Landau rate    , a b b...

Optimal Sampling and Reconstruction of NMR Signals with Time-Varying Gradients

Fundamental operations of nuclear magnetic resonance (NMR) imaging can be formulated, for a large number of methods, as sampling the object distribution in the Fourier spatial-frequency domain, followed by processing the digitized data to produce a digital image. In these methods, controllable gradient fields determine the points in the spatialfrequency domain which are sampled at any given tim...

Signal-dependent sampling and reconstruction method of signals with time-varying bandwidth

The paper describes the sampling method of nonstationary signals with time-varying spectral bandwidth. The reconstruction procedure exploiting the low-pass filter with time-varying cut-off frequency is derived. The filter application in signal reconstruction from its level-crossing samples is shown. The results of computer simulations are presented.