Title :
The ill-posed nature of a method for sub-Nyquist rate signal reconstruction
Author :
Sullivan, Barry J. ; Liu, Bede
fDate :
2/1/1987 12:00:00 AM
Abstract :
A recently proposed method for reconstructing signals sampled at less than the Nyquist rate is examined. It is claimed that the signal can be reconstructed using this scheme with arbitrarily small error. Analysis with noisy samples reveals this claim is inconsistent with the physical determinancy criterion for a well-posed problem.
Keywords :
Signal sampling/reconstruction; Spherical wave functions; Bandwidth; Chaos; Circuit noise; Circuit theory; Circuits and systems; Eigenvalues and eigenfunctions; Electrons; Feedback loop; Fourier transforms; Signal reconstruction;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1987.1086106
