Average error rate for coherent MPSK signals inNakagami fading channels

Aalo, Valentine A.; Pattaramalai, Suwat

doi:10.1049/el:19961032

Cited by 32 publications

(10 citation statements)

References 7 publications

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“…When the envelopes received by a two-branch diversity system are given by and and both branches have a noise power of , the voltage SNR after maximal ratio combining can be found to be (11) As stated earlier, to produce a theoretical result that is consistent with what is commonly done with measured diversity data, the theoretical distribution of the for a noise power of unity is required. In measurement, the recorded envelope data is combined in time for a two-branch maximal ratio combiner as follows: (12) As with selection, when is unity, the distribution of the input voltage SNR is the distribution of branch envelopes as shown in (8).…”

Section: B Two-branch Maximal Ratio Combiningmentioning

confidence: 78%

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Analysis of a two-branch maximal ratio and selection diversity system with unequal SNRs and correlated inputs for a Rayleigh fading channel

Dietze

Dietrich²,

Stutzman³

2002

IEEE Trans. Wireless Commun.

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An analytical expression for the probability density function of the signal-to-noise ratio (SNR) at the output of a two-branch maximal ratio and selection diversity system is given. The two branches are assumed to be Rayleigh fading, correlated, as well as of unequal average SNRs. Measurements of the cumulative distribution functions after selection and maximal ratio combining were made in Rayleigh fading channels and compared with the analytical results. Also presented are the exact analytical average probabilities of symbol error for coherent binary phase-shift keying and coherent quaternary phase-shift keying before and after two-branch maximal ratio combining for a slow and flat fading correlated Rayleigh channel.Index Terms-Antenna diversity, binary phase-shift keying, correlated channels, maximal ratio, quaternary phase-shift keying, Rayleigh, selection diversity.

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Section: B Two-branch Maximal Ratio Combiningmentioning

confidence: 78%

“…Some analysis was performed for Nakagami channels of which Rayleigh is a special case [11]- [15]. Most papers consider diversity systems with uncorrelated branch signals [8]- [15].…”

Section: Introductionmentioning

confidence: 99%

Analysis of a two-branch maximal ratio and selection diversity system with unequal SNRs and correlated inputs for a Rayleigh fading channel

Dietze

Dietrich²,

Stutzman³

2002

IEEE Trans. Wireless Commun.

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“…The PDF expressions that appeared in the earlier literatures [31,47] have been summarized in Table II. As per the IID assumption, each branch has equal average branch SNR¯ = E{ k }; ∀k and that all diversity channels have an identical fading parameter.…”

Section: Multichannel Wireless Link Modelmentioning

confidence: 99%

SEP calculations for coherent M‐ary FSK in different fading channels with MRC diversity

Chandra

Poram

Bose

2011

Int J Communication

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SUMMARYIn this paper, the authors derive symbol error probability (SEP) expressions for coherent M-ary frequency shift keying (MFSK) modulation schemes in multipath fading channels. The multipath or small-scale fading process is assumed to be slow and frequency non-selective. In addition, the channel is also subjected to the usual degradation caused by the additive white Gaussian noise (AWGN). Different small-scale fading statistics such as Rayleigh, Rician (Nakagami-n), Hoyt (Nakagami-q), and Nakagami-m have been considered to portray diverse wireless environments. Further, to mitigate fading effects through space diversity, the receiver front-end is assumed to be equipped with multiple antennas. Independent and identically distributed (IID) as well as uncorrelated signal replicas received through all these antennas are combined with a linear combiner before successive demodulation. As the detection is coherent in nature and thus involves phase estimation, optimum phase-coherent combining algorithms, such as predetection maximal ratio combining (MRC), may be used without any added complexity to the receiver. In the current text, utilizing the alternate expressions for integer powers (1 n 4) of Gaussian Q function, SEP values of coherent MFSK are obtained through moment generating function (MGF) approach for all the fading models (with or without MRC diversity) described above. The derived end expressions are composed of finite range integrals, which can be numerically computed with ease, dispenses with the need of individual expressions for different M, and gives exact values up to M = 5. When the constellation size becomes bigger (M 6), the same SEP expressions provide a quite realistic approximation, much tighter than the bounds found in previous literatures. Error probabilities are graphically displayed for each fading model with different values of constellation size M, diversity order L, and for corresponding fading parameters (K , q, or m). To validate the proposed approximation method extensive Monte-Carlo simulations were also performed, which show a close match with the analytical results deduced in the paper. Both these theoretical and simulation results offer valuable insight to assess the efficacy of relatively less studied coherent MFSK in the context of the optimum modulation choice in wireless communication.

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“…[1,[4][5][6][7][8][9]. Recently, Kong, Eng, and Milstein presented a thorough comparison of the diversity-etc combining techniques: the hybrid SC/MRC scheme, SC-2 and SC-3 over Rayleigh fading channels with an exponentially decaying multipath intensity profile (MIP) and a varying MIP [1].…”

Section: Introductionmentioning

confidence: 99%

Performance analysis for ordered selection combining schemes in Nakagami-m environments

Chen

2005

Journal of the Franklin Institute

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Average error rate for coherent MPSK signals inNakagami fading channels

Cited by 32 publications

References 7 publications

Analysis of a two-branch maximal ratio and selection diversity system with unequal SNRs and correlated inputs for a Rayleigh fading channel

Analysis of a two-branch maximal ratio and selection diversity system with unequal SNRs and correlated inputs for a Rayleigh fading channel

SEP calculations for coherent M‐ary FSK in different fading channels with MRC diversity

Performance analysis for ordered selection combining schemes in Nakagami-m environments

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