Publication result detail

Generalized Sampling Theorem for Bandpass Signals

Prokes, A.

Original Title

Generalized Sampling Theorem for Bandpass Signals

English Title

Generalized Sampling Theorem for Bandpass Signals

Type

Abstract

Original Abstract

The reconstruction of an unknown continuously defined function f (t) from the samples of the responses of m linear timeinvariant (LTI) systems sampled by the 1/mth Nyquist rate is the aim of the generalized sampling. Papoulis 1977 provided an elegant solution for the case where f (t) is a band-limited function with finite energy and the sampling rate is equal to 2/m times cutoff frequency. In this paper, the scope of the Papoulis theory is extended to the case of bandpass signals. In the first part, a generalized sampling theorem (GST) for bandpass signals is presented. The second part deals with utilizing this theorem for signal recovery from nonuniform samples, and an efficient way of computing images of reconstructing functions for signal recovery is discussed.

English abstract

The reconstruction of an unknown continuously defined function f (t) from the samples of the responses of m linear timeinvariant (LTI) systems sampled by the 1/mth Nyquist rate is the aim of the generalized sampling. Papoulis 1977 provided an elegant solution for the case where f (t) is a band-limited function with finite energy and the sampling rate is equal to 2/m times cutoff frequency. In this paper, the scope of the Papoulis theory is extended to the case of bandpass signals. In the first part, a generalized sampling theorem (GST) for bandpass signals is presented. The second part deals with utilizing this theorem for signal recovery from nonuniform samples, and an efficient way of computing images of reconstructing functions for signal recovery is discussed.

Keywords

Nonuniform sampling, reconstruction, generalized sampling

Key words in English

Nonuniform sampling, reconstruction, generalized sampling

Authors

Prokes, A.

Released

01.03.2006

Publisher

Hindawi Publishing Corporation

Location

New York

Book

EURASIP News Letter

Edition

17

ISBN

1687-1421

Periodical

EURASIP News Letter

Volume

2006

State

United States of America

Pages from

69

Pages count

1

BibTex

@misc{BUT60404,
  author="Aleš {Prokeš}",
  title="Generalized Sampling Theorem for Bandpass Signals",
  booktitle="EURASIP News Letter",
  year="2006",
  series="17",
  journal="EURASIP News Letter",
  volume="2006",
  pages="1",
  publisher="Hindawi Publishing Corporation",
  address="New York",
  issn="1687-1421",
  note="Abstract"
}