Generalized Inverse Reconstruction for Periodic Nonuniform Sampling

DOI

10.2991/eame-15.2015.61How to use a DOI?

Keywords

generalized inverse reconstruction; periodic nonuniform sampling; shift-invariant spaces; multi- band signals; interpolator

Abstract

A traditional assumption underlying most data converters is that the signal should be sampled at a rate exceeding twice the highest frequency. In this paper, we employ a method for low-rate sampling of multi- band signals via applying periodic nonuniform sampling in shift-invariant spaces generated by m kernels with period T. So, the sampling and reconstruction of signals were transformed into matrix and vector operations, the generalized inverse can be use to find the answer and a interpolator can insure that complete reconstruction will be achieved. Finally, we validate the method in MATLAB; the conclusion of simulation shows the frame-work presented here is feasible.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - J.Y. Luo
AU  - L. Lei
PY  - 2015/07
DA  - 2015/07
TI  - Generalized Inverse Reconstruction for Periodic Nonuniform Sampling
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 224
EP  - 226
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.61
DO  - 10.2991/eame-15.2015.61
ID  - Luo2015/07
ER  -