Efficient and robust detection of GFSK signals under dispersive channel, modulation index, and carrier frequency offset conditions

Charles Tibenderana, Stephan Weiss

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Gaussian frequency shift keying is the modulation scheme specified for Bluetooth. Signal adversities typical in Bluetooth networks include AWGN, multipath propagation, carrier frequency, and modulation index offsets. In our effort to realise a robust but efficient Bluetooth receiver, we adopt a high-performance matched-filter-based detector, which is near optimal in AWGN, but requires a prohibitively costly filter bank for processing of K bits worth of the received signal. However, through filtering over a single bit period and performing phase propagation of intermediate results over successive single-bit stages, we eliminate redundancy involved in providing the matched filter outputs and reduce its complexity by up to 90% (for K = 9). The constant modulus signal characteristic and the potential for carrier frequency offsets make the constant modulus algorithm (CMA) suitable for channel equalisation, and we demonstrate its effectiveness in this paper. We also introduce a stochastic gradient-based algorithm for carrier frequency offset correction, and show that the relative rotation between successive intermediate filter outputs enables us to detect and correct offsets in modulation index.
LanguageEnglish
Pages2719-2729
Number of pages11
JournalEURASIP Journal on Advances in Signal Processing
Volume2005
Issue number16
DOIs
Publication statusPublished - Jan 2005

Fingerprint

Bluetooth
Matched filters
Modulation
Frequency shift keying
Multipath propagation
Filter banks
Redundancy
Detectors
Processing

Keywords

  • Gaussian frequency
  • shift keying
  • bluetooth
  • carrier frequency constant modulus algorithm
  • signal processing

Cite this

@article{aebc52903c454df6a00a868690f52904,
title = "Efficient and robust detection of GFSK signals under dispersive channel, modulation index, and carrier frequency offset conditions",
abstract = "Gaussian frequency shift keying is the modulation scheme specified for Bluetooth. Signal adversities typical in Bluetooth networks include AWGN, multipath propagation, carrier frequency, and modulation index offsets. In our effort to realise a robust but efficient Bluetooth receiver, we adopt a high-performance matched-filter-based detector, which is near optimal in AWGN, but requires a prohibitively costly filter bank for processing of K bits worth of the received signal. However, through filtering over a single bit period and performing phase propagation of intermediate results over successive single-bit stages, we eliminate redundancy involved in providing the matched filter outputs and reduce its complexity by up to 90{\%} (for K = 9). The constant modulus signal characteristic and the potential for carrier frequency offsets make the constant modulus algorithm (CMA) suitable for channel equalisation, and we demonstrate its effectiveness in this paper. We also introduce a stochastic gradient-based algorithm for carrier frequency offset correction, and show that the relative rotation between successive intermediate filter outputs enables us to detect and correct offsets in modulation index.",
keywords = "Gaussian frequency, shift keying, bluetooth, carrier frequency constant modulus algorithm, signal processing",
author = "Charles Tibenderana and Stephan Weiss",
year = "2005",
month = "1",
doi = "10.1155/ASP.2005.2719",
language = "English",
volume = "2005",
pages = "2719--2729",
journal = "EURASIP Journal on Advances in Signal Processing",
issn = "1110-8657",
number = "16",

}

TY - JOUR

T1 - Efficient and robust detection of GFSK signals under dispersive channel, modulation index, and carrier frequency offset conditions

AU - Tibenderana, Charles

AU - Weiss, Stephan

PY - 2005/1

Y1 - 2005/1

N2 - Gaussian frequency shift keying is the modulation scheme specified for Bluetooth. Signal adversities typical in Bluetooth networks include AWGN, multipath propagation, carrier frequency, and modulation index offsets. In our effort to realise a robust but efficient Bluetooth receiver, we adopt a high-performance matched-filter-based detector, which is near optimal in AWGN, but requires a prohibitively costly filter bank for processing of K bits worth of the received signal. However, through filtering over a single bit period and performing phase propagation of intermediate results over successive single-bit stages, we eliminate redundancy involved in providing the matched filter outputs and reduce its complexity by up to 90% (for K = 9). The constant modulus signal characteristic and the potential for carrier frequency offsets make the constant modulus algorithm (CMA) suitable for channel equalisation, and we demonstrate its effectiveness in this paper. We also introduce a stochastic gradient-based algorithm for carrier frequency offset correction, and show that the relative rotation between successive intermediate filter outputs enables us to detect and correct offsets in modulation index.

AB - Gaussian frequency shift keying is the modulation scheme specified for Bluetooth. Signal adversities typical in Bluetooth networks include AWGN, multipath propagation, carrier frequency, and modulation index offsets. In our effort to realise a robust but efficient Bluetooth receiver, we adopt a high-performance matched-filter-based detector, which is near optimal in AWGN, but requires a prohibitively costly filter bank for processing of K bits worth of the received signal. However, through filtering over a single bit period and performing phase propagation of intermediate results over successive single-bit stages, we eliminate redundancy involved in providing the matched filter outputs and reduce its complexity by up to 90% (for K = 9). The constant modulus signal characteristic and the potential for carrier frequency offsets make the constant modulus algorithm (CMA) suitable for channel equalisation, and we demonstrate its effectiveness in this paper. We also introduce a stochastic gradient-based algorithm for carrier frequency offset correction, and show that the relative rotation between successive intermediate filter outputs enables us to detect and correct offsets in modulation index.

KW - Gaussian frequency

KW - shift keying

KW - bluetooth

KW - carrier frequency constant modulus algorithm

KW - signal processing

U2 - 10.1155/ASP.2005.2719

DO - 10.1155/ASP.2005.2719

M3 - Article

VL - 2005

SP - 2719

EP - 2729

JO - EURASIP Journal on Advances in Signal Processing

T2 - EURASIP Journal on Advances in Signal Processing

JF - EURASIP Journal on Advances in Signal Processing

SN - 1110-8657

IS - 16

ER -