Recovery of signals from nonuniform samples using iterative methods
- 1 April 1991
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 39 (4) , 872-878
- https://doi.org/10.1109/78.80909
Abstract
An iterative method to recover a bandlimited signal from its ideal nonuniform samples is proposed. The convergence of iterations is proved, and general regions for convergence are found. It is shown that the iterative method is also applicable to other forms of nonuniform sampling, i.e. natural sampling and interpolated sampling (such as sample-and-hold signal). Simulation results show that this method works effectively and fairly fast, and the errors after a few iterations are negligible if a particular sufficient condition is satisfied or the sampling rate is higher than the Nyquist rateKeywords
This publication has 6 references indexed in Scilit:
- An iterative method to compensate for the interpolation distortionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1989
- Iterative reconstruction of bandlimited images from nonuniformly spaced samplesIEEE Transactions on Circuits and Systems, 1987
- Recovery of Bandlimited Signals from Unequally Spaced SamplesIEEE Transactions on Communications, 1978
- Demodulation Procedure for Very Wide-Band FMIEEE Transactions on Communications, 1977
- On the Properties of Some Systems that Distort Signals-IBell System Technical Journal, 1963
- A class of nonharmonic Fourier seriesTransactions of the American Mathematical Society, 1952