Error performance of PAM systems using energy detection with optimal and suboptimal decision thresholds

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6 Citations (Scopus)

Abstract

In this paper, we consider the error probability for multilevel pulse amplitude modulated (PAM) signals, which are used with a multipath diversity combiner based on energy detection (ED). A distinctive feature of ED combined with nonconstant envelope signals is that the symbol decision thresholds need to be determined from a non-Gaussian distributed decision variable. We first present a novel theoretical analysis framework which provides a basis to predict the error performance of ED-PAM systems with optimal maximum likelihood decision thresholds in general multipath fading channels with arbitrary number of degrees of freedom. We then use frequency-selective lognormal fading channels as a case example and evaluate simple approximations for the error probability. Moreover, the analysis is extended to include the joint effect of systematic and random threshold deviation on the error probability with suboptimal but practical data-aided threshold estimation.
Original languageEnglish
Pages (from-to)111-122
Number of pages12
JournalPhysical Communication
Volume4
Issue number2
DOIs
Publication statusPublished - 2011
MoE publication typeA1 Journal article-refereed

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Fading channels
Frequency selective fading
Multipath fading
Maximum likelihood
Error probability

Keywords

  • Energy detection
  • Error probability
  • Diversity combining
  • Pulse amplitude modulation
  • Optimal decision thresholds
  • Data-aided estimation

Cite this

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title = "Error performance of PAM systems using energy detection with optimal and suboptimal decision thresholds",
abstract = "In this paper, we consider the error probability for multilevel pulse amplitude modulated (PAM) signals, which are used with a multipath diversity combiner based on energy detection (ED). A distinctive feature of ED combined with nonconstant envelope signals is that the symbol decision thresholds need to be determined from a non-Gaussian distributed decision variable. We first present a novel theoretical analysis framework which provides a basis to predict the error performance of ED-PAM systems with optimal maximum likelihood decision thresholds in general multipath fading channels with arbitrary number of degrees of freedom. We then use frequency-selective lognormal fading channels as a case example and evaluate simple approximations for the error probability. Moreover, the analysis is extended to include the joint effect of systematic and random threshold deviation on the error probability with suboptimal but practical data-aided threshold estimation.",
keywords = "Energy detection, Error probability, Diversity combining, Pulse amplitude modulation, Optimal decision thresholds, Data-aided estimation",
author = "Antti Anttonen and Adrian Kotelba and Aarne M{\"a}mmel{\"a}",
year = "2011",
doi = "10.1016/j.phycom.2011.01.002",
language = "English",
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pages = "111--122",
journal = "Physical Communication",
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TY - JOUR

T1 - Error performance of PAM systems using energy detection with optimal and suboptimal decision thresholds

AU - Anttonen, Antti

AU - Kotelba, Adrian

AU - Mämmelä, Aarne

PY - 2011

Y1 - 2011

N2 - In this paper, we consider the error probability for multilevel pulse amplitude modulated (PAM) signals, which are used with a multipath diversity combiner based on energy detection (ED). A distinctive feature of ED combined with nonconstant envelope signals is that the symbol decision thresholds need to be determined from a non-Gaussian distributed decision variable. We first present a novel theoretical analysis framework which provides a basis to predict the error performance of ED-PAM systems with optimal maximum likelihood decision thresholds in general multipath fading channels with arbitrary number of degrees of freedom. We then use frequency-selective lognormal fading channels as a case example and evaluate simple approximations for the error probability. Moreover, the analysis is extended to include the joint effect of systematic and random threshold deviation on the error probability with suboptimal but practical data-aided threshold estimation.

AB - In this paper, we consider the error probability for multilevel pulse amplitude modulated (PAM) signals, which are used with a multipath diversity combiner based on energy detection (ED). A distinctive feature of ED combined with nonconstant envelope signals is that the symbol decision thresholds need to be determined from a non-Gaussian distributed decision variable. We first present a novel theoretical analysis framework which provides a basis to predict the error performance of ED-PAM systems with optimal maximum likelihood decision thresholds in general multipath fading channels with arbitrary number of degrees of freedom. We then use frequency-selective lognormal fading channels as a case example and evaluate simple approximations for the error probability. Moreover, the analysis is extended to include the joint effect of systematic and random threshold deviation on the error probability with suboptimal but practical data-aided threshold estimation.

KW - Energy detection

KW - Error probability

KW - Diversity combining

KW - Pulse amplitude modulation

KW - Optimal decision thresholds

KW - Data-aided estimation

U2 - 10.1016/j.phycom.2011.01.002

DO - 10.1016/j.phycom.2011.01.002

M3 - Article

VL - 4

SP - 111

EP - 122

JO - Physical Communication

JF - Physical Communication

SN - 1874-4907

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