Frequency-domain analysis of linear periodically time-varying FBMC systems

Tobias Laas; Leonardo G. Baltar; Josef A. Nossek

doi:10.1109/SAM.2016.7569649

Frequency-domain analysis of linear periodically time-varying FBMC systems

Tobias Laas, Leonardo G. Baltar, Josef A. Nossek

Chair of Circuit Theory and Signal Processing (2008 — 2021)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We study how to analyze Linear Periodically Time-Varying (LPTV) Filter Bank Based Multi-Carrier (FBMC) transmitters with Offset QAM (OQAM) modulation. Using an approach based on the Bifrequency Map and the Power Spectral Density (PSD), we can derive a Pseudo-Transfer Function for each subcarrier in the steady-state, taking the upsampling into account. Furthermore, we show that the magnitude of the PseudoTransfer Function can be expressed as the average magnitude of Linear Time Invariant (LTI) transfer functions and that an FIR LTI filter with the same magnitude as the Pseudo-Transfer Function and with the same degree as the LPTV filter exists. We also present an LPTV filter fulfilling the Perfect Reconstruction (PR) conditions and apply our previous results.

Original language	English
Title of host publication	2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016
Publisher	IEEE Computer Society
ISBN (Electronic)	9781509021031
DOIs	https://doi.org/10.1109/SAM.2016.7569649
State	Published - 15 Sep 2016
Event	2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016 - Rio de Rio de Janeiro, Brazil Duration: 10 Jul 2016 → 13 Jul 2016

Publication series

Name	Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop
Volume	2016-September
ISSN (Electronic)	2151-870X

Conference

Conference	2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016
Country/Territory	Brazil
City	Rio de Rio de Janeiro
Period	10/07/16 → 13/07/16

Access to Document

10.1109/SAM.2016.7569649

Cite this

Laas, T., Baltar, L. G., & Nossek, J. A. (2016). Frequency-domain analysis of linear periodically time-varying FBMC systems. In 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016 Article 7569649 (Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop; Vol. 2016-September). IEEE Computer Society. https://doi.org/10.1109/SAM.2016.7569649

@inproceedings{66ee72b5312c4807b48f2862befdad73,

title = "Frequency-domain analysis of linear periodically time-varying FBMC systems",

abstract = "We study how to analyze Linear Periodically Time-Varying (LPTV) Filter Bank Based Multi-Carrier (FBMC) transmitters with Offset QAM (OQAM) modulation. Using an approach based on the Bifrequency Map and the Power Spectral Density (PSD), we can derive a Pseudo-Transfer Function for each subcarrier in the steady-state, taking the upsampling into account. Furthermore, we show that the magnitude of the PseudoTransfer Function can be expressed as the average magnitude of Linear Time Invariant (LTI) transfer functions and that an FIR LTI filter with the same magnitude as the Pseudo-Transfer Function and with the same degree as the LPTV filter exists. We also present an LPTV filter fulfilling the Perfect Reconstruction (PR) conditions and apply our previous results.",

author = "Tobias Laas and Baltar, {Leonardo G.} and Nossek, {Josef A.}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016 ; Conference date: 10-07-2016 Through 13-07-2016",

year = "2016",

month = sep,

day = "15",

doi = "10.1109/SAM.2016.7569649",

language = "English",

series = "Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop",

publisher = "IEEE Computer Society",

booktitle = "2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016",

}

Laas, T, Baltar, LG & Nossek, JA 2016, Frequency-domain analysis of linear periodically time-varying FBMC systems. in 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016., 7569649, Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop, vol. 2016-September, IEEE Computer Society, 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016, Rio de Rio de Janeiro, Brazil, 10/07/16. https://doi.org/10.1109/SAM.2016.7569649

Frequency-domain analysis of linear periodically time-varying FBMC systems. / Laas, Tobias; Baltar, Leonardo G.; Nossek, Josef A.
2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016. IEEE Computer Society, 2016. 7569649 (Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop; Vol. 2016-September).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Frequency-domain analysis of linear periodically time-varying FBMC systems

AU - Laas, Tobias

AU - Baltar, Leonardo G.

AU - Nossek, Josef A.

PY - 2016/9/15

Y1 - 2016/9/15

N2 - We study how to analyze Linear Periodically Time-Varying (LPTV) Filter Bank Based Multi-Carrier (FBMC) transmitters with Offset QAM (OQAM) modulation. Using an approach based on the Bifrequency Map and the Power Spectral Density (PSD), we can derive a Pseudo-Transfer Function for each subcarrier in the steady-state, taking the upsampling into account. Furthermore, we show that the magnitude of the PseudoTransfer Function can be expressed as the average magnitude of Linear Time Invariant (LTI) transfer functions and that an FIR LTI filter with the same magnitude as the Pseudo-Transfer Function and with the same degree as the LPTV filter exists. We also present an LPTV filter fulfilling the Perfect Reconstruction (PR) conditions and apply our previous results.

AB - We study how to analyze Linear Periodically Time-Varying (LPTV) Filter Bank Based Multi-Carrier (FBMC) transmitters with Offset QAM (OQAM) modulation. Using an approach based on the Bifrequency Map and the Power Spectral Density (PSD), we can derive a Pseudo-Transfer Function for each subcarrier in the steady-state, taking the upsampling into account. Furthermore, we show that the magnitude of the PseudoTransfer Function can be expressed as the average magnitude of Linear Time Invariant (LTI) transfer functions and that an FIR LTI filter with the same magnitude as the Pseudo-Transfer Function and with the same degree as the LPTV filter exists. We also present an LPTV filter fulfilling the Perfect Reconstruction (PR) conditions and apply our previous results.

UR - http://www.scopus.com/inward/record.url?scp=84990838598&partnerID=8YFLogxK

U2 - 10.1109/SAM.2016.7569649

DO - 10.1109/SAM.2016.7569649

M3 - Conference contribution

AN - SCOPUS:84990838598

T3 - Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop

BT - 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016

PB - IEEE Computer Society

T2 - 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016

Y2 - 10 July 2016 through 13 July 2016

ER -

Frequency-domain analysis of linear periodically time-varying FBMC systems

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this