Predetection Diversity Combining with Selectively Fading Channels

Bello, P.; Nelin, B.

doi:10.1109/tcom.1962.1088632

Cited by 93 publications

(33 citation statements)

References 2 publications

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“…Following this, the CDF of the hybrid SC/MRC combiner output SNR, which has Gaussian distributed weighting errors, is given by (10) using [19, eqs. (8.350.1) and (8.352.1)].…”

Section: Derivation Of Hybrid Sc/mrc Combiner Output Statisticsmentioning

confidence: 99%

“…(22) which is essentially the CDF of output SNR evaluated at . As such, the outage probability can be evaluated efficiently using (10). The threshold can be obtained by solving , where corresponds to the SER in a nonfading channel.…”

Section: Outage Rate Of Error Probability and The Average Combinementioning

confidence: 99%

“…In fact, very few published analytical results exist for the effect of channel estimation errors on the performance of classical diversity schemes, let alone for the hybrid SC/MRC scheme. Five notable contributions for the classical diversity schemes are [10]- [14]. In [10], Bello and Nelin first showed that frequency decorrelation of the pilot from the data signal exhibits a Gaussian distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Five notable contributions for the classical diversity schemes are [10]- [14]. In [10], Bello and Nelin first showed that frequency decorrelation of the pilot from the data signal exhibits a Gaussian distribution. Subsequently, the average bit-error-rate (ABER) expressions were derived for both coherent and noncoherent detection of binary orthogonal signals employing a nonideal MRC receiver in Rayleigh fading.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of hybrid selection/maximal-ratio diversity combiners with Gaussian errors

Annamalai

Tellambura

2002

IEEE Trans. Wireless Commun.

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Abstract-The paper examines the impact of Gaussian distributed weighting errors (in the channel gain estimates used for coherent combination) on both the output statistics of a hybrid selection/maximal-ratio (SC/MRC) receiver and the degradation of the average symbol-error rate (ASER) performance as compared with the ideal case. New expressions are derived for the probability density function, cumulative distribution function and moment generating function (MGF) of the coherent hybrid SC/MRC combiner output signal-to-noise ratio (SNR). The MGF is then used to derive exact, closed-form, ASER expressions for binary and M-ary modulations in conjunction a nonideal hybrid SC/MRC receiver in a Rayleigh fading environment. Results for both selection combining (SC) and maximal-ratio combining (MRC) are obtained as limiting cases. Additionally, the effect of the weighting errors on both the outage rate of error probability and the average combined SNR is investigated. These analytical results provide insights into the tradeoff between diversity gain and combination losses, in concert with increasing orders of diversity branches in an energy-sharing communication system. Index Terms-Binary and M-ary signaling, coherent combiner with weighting errors, diversity methods, hybrid diversity receivers.

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“…Following this, the CDF of the hybrid SC/MRC combiner output SNR, which has Gaussian distributed weighting errors, is given by (10) using [19, eqs. (8.350.1) and (8.352.1)].…”

Section: Derivation Of Hybrid Sc/mrc Combiner Output Statisticsmentioning

confidence: 99%

Section: Outage Rate Of Error Probability and The Average Combinementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of hybrid selection/maximal-ratio diversity combiners with Gaussian errors

Annamalai

Tellambura

2002

IEEE Trans. Wireless Commun.

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“…Figure 5 shows the error floor for GMSK, with a normalized 3dB filter width of the Gaussian filter of B¡ T = 0.5, which corresponds to the DECT specifications. 2 We see that a complete elimination of the error floor is not possible even if the receiver filter has a very large bandwidth, but still a reduction of the BER by an order of magnitude is feasible for realistic filter parameters.…”

Section: A Clipping With Fixed Samplingmentioning

confidence: 87%

Reduction of the error floor of binary fsk by nonlinear frequency discriminators

Molisch

Petrovic

2003

IEEE Trans. Wireless Commun.

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We consider the error floor of binary FSK due to intersymbol interference in time-dispersive mobile radio channels, with a limiter-discriminator-integrator detector. The errors are caused by bursts in the instantaneous frequency. We propose and verify that a nonlinear frequency discriminator can achieve zero error floor for pure FSK by clipping off these bursts. For filtered FSK, the error floor is not completely removed, but strongly reduced -typically by one or two orders of magnitude. The tighter the filtering, the less effective this nonlinearity is. The nonlinear discriminator can be also used in conjunction with adaptive sampling.This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. AbstractWe consider the error floor of binary FSK due to intersymbol interference in time-dispersive mobile radio channels, with a limiter-discriminator-integrator detector. The errors are caused by bursts in the instantaneous frequency. We propose and verify that a nonlinear frequency discriminator can achieve zero error floor for pure FSK by clipping off these bursts. For filtered FSK, the error floor is not completely removed, but strongly reduced -typically by one or two orders of magnitude. The tighter the filtering, the less effective this nonlinearity is. The nonlinear discriminator can be also used in conjunction with adaptive sampling.This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Information Technology Center America; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Information Technology Center America. All rights reserved. AbstractWe consider the error floor of binary FSK due to intersymbol interference in time-dispersive mobile radio channels, with a limiter-discriminator-integrator detector. The errors are caused by bursts in the instantaneous frequency.We propose and verify that a nonlinear frequency discriminator can achieve zero error floor for pure FSK by clipping off these bursts. For ...

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Frequency-Hopping, Multiple-Access, Phase-Shift-Keying System Performance in a Rayleigh Fading Environment

Yue¹

1980

Bell System Technical Journal

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Recently, various Frequency‐Hopping, Multiple‐Access (fhma) schemes have been proposed as alternatives to frequency‐division (fdma) techniques for guarding against interference from other users and multipath fading in transmitting digitized speech in mobile radio. While the advantage of frequency diversity against fading is well known, the system degradation of frame‐asynchronous fhma‐psk due to interference from other users and fading has not been studied, except by modeling the interference as additive white Gaussian noise (awgn). In this paper, we analyze the performance of two fhma‐psk systems in a Rayleigh fading environment. We assume that the interferers' addresses are assigned at random and derive expressions for the union upper bound on the bit error rate (Pb) for U users, each assigned N frequencies, i.e., N chips. As an example, we consider transmitting digitized speech (R = 31.25 kb/s) over the mobile radio channel (bandwidth W = 20 MHz), using orthogonal coding of rate r = 5/32 (N = 32). For the differentially coherent fhma‐psk case, the number of users in a two‐way radio system is limited to 26 by the performance of the mobile‐to‐base link, which corresponds to an equivalent bandwidth of 770 kHz per user.

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Predetection Diversity Combining with Selectively Fading Channels

Cited by 93 publications

References 2 publications

Analysis of hybrid selection/maximal-ratio diversity combiners with Gaussian errors

Analysis of hybrid selection/maximal-ratio diversity combiners with Gaussian errors

Reduction of the error floor of binary fsk by nonlinear frequency discriminators

Frequency-Hopping, Multiple-Access, Phase-Shift-Keying System Performance in a Rayleigh Fading Environment

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