Reconstruction of Sequences from Nonuniform Samples.
Journal
1995 IEEE International Symposium on Circuits and Systems, ISCAS 1995, Seattle, Washington, USA, April 30 - May 3, 1995
Pages
601-604
Date Issued
1995
Author(s)
Vaidyanathan, P. P.
Abstract
If a discrete time signal x(n) is obtained as the output of an interpolation filter F(z), it is natural to expect that it can be recovered from the decimated samples x(Mn), even though the signal is not bandlimited except in the ideal case. However, unless F(z) is a Nyquist filter, stability of reconstruction is not guaranteed. There are cases where x(n) cannot be recovered from the uniformly spaced samples x(Mn) in a stable manner, for example, when all the polyphase components of F(z) have unit-circle zeros. We provide precise theorems which show that even under such situations, stable reconstruction from a nonuniformly decimated version is often possible.
Type
conference paper