---
_id: '40747'
abstract:
- lang: eng
text: 'We propose a new detector of primary users in cognitive radio networks. The
main novelty of the proposed detector in comparison to most known detectors is
that it is based on sound statistical principles for detecting cyclostationary
signals. In particular, the proposed detector is (asymptotically) the locally
most powerful invariant test, i.e. the best invariant detector for low signal-to-noise
ratios. The derivation is based on two main ideas: the relationship between a
scalar-valued cyclostationary signal and a vector-valued wide-sense stationary
signal, and Wijsman’s theorem. Moreover, using the spectral representation for
the cyclostationary time series, the detector has an insightful interpretation,
and implementation, as the broadband coherence between frequencies that are separated
by multiples of the cycle frequency. Finally, simulations confirm that the proposed
detector performs better than previous approaches.'
author:
- first_name: D.
full_name: Ramírez, D.
last_name: Ramírez
- first_name: P. J.
full_name: Schreier, P. J.
last_name: Schreier
- first_name: J.
full_name: Vía, J.
last_name: Vía
- first_name: I.
full_name: Santamaría, I.
last_name: Santamaría
- first_name: L. L.
full_name: Scharf, L. L.
last_name: Scharf
citation:
ama: 'Ramírez D, Schreier PJ, Vía J, Santamaría I, Scharf LL. An asymptotic LMPI
test for cyclostationarity detection with application to Cognitive Radio (invited
paper). In: Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.
; 2015.'
apa: Ramírez, D., Schreier, P. J., Vía, J., Santamaría, I., & Scharf, L. L.
(2015). An asymptotic LMPI test for cyclostationarity detection with application
to Cognitive Radio (invited paper). Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech
and Signal Process.
bibtex: '@inproceedings{Ramírez_Schreier_Vía_Santamaría_Scharf_2015, place={Brisbane,
Australia}, title={An asymptotic LMPI test for cyclostationarity detection with
application to Cognitive Radio (invited paper)}, booktitle={Proc.\ IEEE Int.\
Conf.\ Acoustics, Speech and Signal Process.}, author={Ramírez, D. and Schreier,
P. J. and Vía, J. and Santamaría, I. and Scharf, L. L.}, year={2015} }'
chicago: Ramírez, D., P. J. Schreier, J. Vía, I. Santamaría, and L. L. Scharf. “An
Asymptotic LMPI Test for Cyclostationarity Detection with Application to Cognitive
Radio (Invited Paper).” In Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal
Process. Brisbane, Australia, 2015.
ieee: D. Ramírez, P. J. Schreier, J. Vía, I. Santamaría, and L. L. Scharf, “An asymptotic
LMPI test for cyclostationarity detection with application to Cognitive Radio
(invited paper),” 2015.
mla: Ramírez, D., et al. “An Asymptotic LMPI Test for Cyclostationarity Detection
with Application to Cognitive Radio (Invited Paper).” Proc.\ IEEE Int.\ Conf.\
Acoustics, Speech and Signal Process., 2015.
short: 'D. Ramírez, P.J. Schreier, J. Vía, I. Santamaría, L.L. Scharf, in: Proc.\
IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process., Brisbane, Australia,
2015.'
date_created: 2023-01-30T11:51:46Z
date_updated: 2023-01-30T12:00:09Z
department:
- _id: '263'
place: Brisbane, Australia
publication: Proc.\ IEEE Int.\ Conf.\ Acoustics, Speech and Signal Process.
status: public
title: An asymptotic LMPI test for cyclostationarity detection with application to
Cognitive Radio (invited paper)
type: conference
user_id: '43497'
year: '2015'
...