Unified Analysis of Postdetection Diversity for Binary Digital FM Mobile Radio

Fumiyuki Adachi

doi:10.1109/25.31123

Unified Analysis of Postdetection Diversity for Binary Digital FM Mobile Radio

Fumiyuki Adachi

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

22 Citations (Scopus)

Abstract

An analysis is presented of postdetection diversity using both selection combining and general combining for the reception of a binary digital FM signal in a Rayleigh fading environment. Noncoherent (differential and frequency) demodulation is assumed. In the general combiner, the output of each branch demodulator is weighted by the vth power of the demodulator input signal envelope (weighting factor). The optimum weighting factor is found to be v = 2. It is shown that postdetection general combiners using weighting factors of v = 1 and 2 correspond to predetection equal-gain and maximal-ratio combiners, respectively. A closed-form solution and a fairly simple expression are derived for the average bit error rate. Numerical calculations show that the postdetection two-branch diversity gain is only about 0.9 dB inferior to the predetection system when minimum shift keying (MSK) is used.

Original language	English
Pages (from-to)	189-198
Number of pages	10
Journal	IEEE Transactions on Vehicular Technology
Volume	37
Issue number	4
DOIs	https://doi.org/10.1109/25.31123
Publication status	Published - 1988 Nov
Externally published	Yes

ASJC Scopus subject areas

Automotive Engineering
Aerospace Engineering
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/25.31123

Cite this

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title = "Unified Analysis of Postdetection Diversity for Binary Digital FM Mobile Radio",

abstract = "An analysis is presented of postdetection diversity using both selection combining and general combining for the reception of a binary digital FM signal in a Rayleigh fading environment. Noncoherent (differential and frequency) demodulation is assumed. In the general combiner, the output of each branch demodulator is weighted by the vth power of the demodulator input signal envelope (weighting factor). The optimum weighting factor is found to be v = 2. It is shown that postdetection general combiners using weighting factors of v = 1 and 2 correspond to predetection equal-gain and maximal-ratio combiners, respectively. A closed-form solution and a fairly simple expression are derived for the average bit error rate. Numerical calculations show that the postdetection two-branch diversity gain is only about 0.9 dB inferior to the predetection system when minimum shift keying (MSK) is used.",

author = "Fumiyuki Adachi",

note = "Funding Information: Manuscript received December 3, 1985; revised August 3, 1988. This work was supported in part by the U.K. Science and Engineering Research Council (SERC).",

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T1 - Unified Analysis of Postdetection Diversity for Binary Digital FM Mobile Radio

AU - Adachi, Fumiyuki

N1 - Funding Information: Manuscript received December 3, 1985; revised August 3, 1988. This work was supported in part by the U.K. Science and Engineering Research Council (SERC).

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N2 - An analysis is presented of postdetection diversity using both selection combining and general combining for the reception of a binary digital FM signal in a Rayleigh fading environment. Noncoherent (differential and frequency) demodulation is assumed. In the general combiner, the output of each branch demodulator is weighted by the vth power of the demodulator input signal envelope (weighting factor). The optimum weighting factor is found to be v = 2. It is shown that postdetection general combiners using weighting factors of v = 1 and 2 correspond to predetection equal-gain and maximal-ratio combiners, respectively. A closed-form solution and a fairly simple expression are derived for the average bit error rate. Numerical calculations show that the postdetection two-branch diversity gain is only about 0.9 dB inferior to the predetection system when minimum shift keying (MSK) is used.

AB - An analysis is presented of postdetection diversity using both selection combining and general combining for the reception of a binary digital FM signal in a Rayleigh fading environment. Noncoherent (differential and frequency) demodulation is assumed. In the general combiner, the output of each branch demodulator is weighted by the vth power of the demodulator input signal envelope (weighting factor). The optimum weighting factor is found to be v = 2. It is shown that postdetection general combiners using weighting factors of v = 1 and 2 correspond to predetection equal-gain and maximal-ratio combiners, respectively. A closed-form solution and a fairly simple expression are derived for the average bit error rate. Numerical calculations show that the postdetection two-branch diversity gain is only about 0.9 dB inferior to the predetection system when minimum shift keying (MSK) is used.

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Unified Analysis of Postdetection Diversity for Binary Digital FM Mobile Radio

Abstract

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