SEP Performance Using Equivalence in Nakagami-m Fading Channels

Young Gil Kim; Norman C. Beaulieu; Woo Kyung Lee

doi:10.1109/TVT.2014.2385477

SEP Performance Using Equivalence in Nakagami-m Fading Channels

Young Gil Kim, Norman C. Beaulieu, Woo Kyung Lee

School of Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We show that an L-branch maximal ratio combining (MRC) receiver with an average signal-to-noise ratio (SNR) γ in Nakagami-m fading channels is equivalent to an mL-branch MRC receiver with average SNR γ/m in Rayleigh fading channels in terms of symbol error probability (SEP) when mL is an integer. Moreover, the orthogonal space-time block code (OSTBC) employing M_t transmit antennas and M_r receive antennas with the average SNR γ in Nakagami-m fading channels is shown to be equivalent to an mM_tM_r-branch MRC single-input-multiple-output (SIMO) receiver with the average SNR γ/mM_t in Rayleigh fading channels.

Original language	English
Article number	6996015
Pages (from-to)	3792-3795
Number of pages	4
Journal	IEEE Transactions on Vehicular Technology
Volume	65
Issue number	5
DOIs	https://doi.org/10.1109/TVT.2014.2385477
State	Published - May 2016

Keywords

Maximal ratio combining (MRC)
Nakagami fading
Rayleigh fading
orthogonal space time block code (OSTBC)

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10.1109/TVT.2014.2385477

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title = "SEP Performance Using Equivalence in Nakagami-m Fading Channels",

abstract = "We show that an L-branch maximal ratio combining (MRC) receiver with an average signal-to-noise ratio (SNR) γ in Nakagami-m fading channels is equivalent to an mL-branch MRC receiver with average SNR γ/m in Rayleigh fading channels in terms of symbol error probability (SEP) when mL is an integer. Moreover, the orthogonal space-time block code (OSTBC) employing Mt transmit antennas and Mr receive antennas with the average SNR γ in Nakagami-m fading channels is shown to be equivalent to an mMtMr-branch MRC single-input-multiple-output (SIMO) receiver with the average SNR γ/mMt in Rayleigh fading channels.",

keywords = "Maximal ratio combining (MRC), Nakagami fading, Rayleigh fading, orthogonal space time block code (OSTBC)",

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AU - Kim, Young Gil

AU - Beaulieu, Norman C.

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N2 - We show that an L-branch maximal ratio combining (MRC) receiver with an average signal-to-noise ratio (SNR) γ in Nakagami-m fading channels is equivalent to an mL-branch MRC receiver with average SNR γ/m in Rayleigh fading channels in terms of symbol error probability (SEP) when mL is an integer. Moreover, the orthogonal space-time block code (OSTBC) employing Mt transmit antennas and Mr receive antennas with the average SNR γ in Nakagami-m fading channels is shown to be equivalent to an mMtMr-branch MRC single-input-multiple-output (SIMO) receiver with the average SNR γ/mMt in Rayleigh fading channels.

AB - We show that an L-branch maximal ratio combining (MRC) receiver with an average signal-to-noise ratio (SNR) γ in Nakagami-m fading channels is equivalent to an mL-branch MRC receiver with average SNR γ/m in Rayleigh fading channels in terms of symbol error probability (SEP) when mL is an integer. Moreover, the orthogonal space-time block code (OSTBC) employing Mt transmit antennas and Mr receive antennas with the average SNR γ in Nakagami-m fading channels is shown to be equivalent to an mMtMr-branch MRC single-input-multiple-output (SIMO) receiver with the average SNR γ/mMt in Rayleigh fading channels.

KW - Maximal ratio combining (MRC)

KW - Nakagami fading

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KW - orthogonal space time block code (OSTBC)

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SEP Performance Using Equivalence in Nakagami-m Fading Channels

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