Multiple Diversity with Nonindependent Fading

Pierce, John N.; Stein, Seymour

doi:10.1109/jrproc.1960.287384

Cited by 259 publications

(108 citation statements)

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“…For modeling , in the context of correlated fading, it is reasonable to assume that the Rice factor is the same for all diversity paths: 1 , , and the th component of is (12) where is the average SNR on the th channel. Note that may in general be complex, but the marginal distribution of is unaffected by the phase of .…”

Section: Example and Numerical Resultsmentioning

confidence: 99%

“…For BPSK with maximal ratio combining (MRC), it is well known [14] that the average bit error rate (BER) is given by (3) where is the joint pdf of the SNR vector . To compute the integral in (3), the approach taken in previous papers has been to use the pdf for the sum (see, e.g., [1]). For the Nakagami-fading model, the pdf of is obtained by first modeling in a complicated and somewhat ad hoc manner (see, e.g., [6], [7]).…”

Section: Bpsk With Maximal Ratio Combiningmentioning

confidence: 99%

“…Initial work on analysis of diversity with correlated fading channels was done by Pierce and Stein in [1], where they studied the special case of Rayleigh fading. Expressions for the error probability for making hard decisions were derived for the two special cases of binary phase shift keying (BPSK) with maximal-ratio combining, and binary frequency shift keying (BFSK) with equal-gain combining.…”

Section: Introductionmentioning

confidence: 99%

“…Expressions for the error probability for making hard decisions were derived for the two special cases of binary phase shift keying (BPSK) with maximal-ratio combining, and binary frequency shift keying (BFSK) with equal-gain combining. Extending the analysis of [1] to correlated Rician fading is in general difficult. In some special cases, such as BFSK with equal-gain combining, we may use the Laplace transform results of [2] to obtain closed-form expression for hard-decision error probabilities.…”

Section: Introductionmentioning

confidence: 99%

“…Other work on extending the work in [1] has focused on the Nakagami-fading model for analysis (see, e.g., [6]- [8]). The approach taken in much of this work is to develop a model for the joint distribution of the envelopes at the various channels and to use this model for analysis.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On performance analysis for signaling on correlated fading channels

Veeravalli

2001

IEEE Trans. Commun.

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Abstract-A general approach is presented for analyzing the performance of digital signaling with multichannel reception on correlated fading channels. The approach is based on: i) exploiting the complex Gaussian model for the joint distribution of the fading on the multiple channels; and ii) applying recent results on the unified performance analysis of digital signaling on fading channels using alternative representations of the ( ) and related functions. Numerical results that illustrate the effect of correlation on the diversity gain from multichannel reception are also presented.

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Section: Example and Numerical Resultsmentioning

confidence: 99%