1996
DOI: 10.1007/bf00354871
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Summing received signal powers with arbitrary probability density functions on a logarithmic scale

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Cited by 11 publications
(11 citation statements)
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“…Another technique is presented in [11] to compute the PDF of a sum of two random variables on a logarithmic scale. The method can be applied recursively for more than two random variables, and it will give exact results for arbitrary distributions.…”
Section: Related Workmentioning
confidence: 99%
See 2 more Smart Citations
“…Another technique is presented in [11] to compute the PDF of a sum of two random variables on a logarithmic scale. The method can be applied recursively for more than two random variables, and it will give exact results for arbitrary distributions.…”
Section: Related Workmentioning
confidence: 99%
“…Therefore, approximating the aggregate interference with a lognormal random variable does not seem to be a promising solution. Another alternative is logarithmic convolution to compute the PDF of a power sum of two random variables [11]. This method gives exact results for arbitrary distributions, but numerical integration is needed and it is computationally expensive.…”
Section: Deterministic Move List Algorithmsmentioning
confidence: 99%
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“…When we add to this the conditional probability density that we will receive rsp from RFP and less from RFP , we find the total probability density of carrier power at the given distance CP (16) Still, stands for the distance from RFP . Integrating (16) over the distance yields the unconditional pdf for the carrier power for a PP at an arbitrary (unknown) place CP CP…”
Section: ) Selecting From Two Rfp'smentioning
confidence: 99%
“…The assumption of one user per channel is less valid for the outer ring than for the inner circle, but it is still good enough to use for the outer ring because these interferers have less influence than the interferers in the inner circle. The pdf for the total signal power received (rsp) by a PP on an arbitrary channel becomes rsp rsp (32) Equation (32) can be calculated with the convolution transformed for the logarithmic domain [16]. We will use the results of (32) in the next section to calculate the interference power on an arbitrary channel.…”
Section: A Received Signal Power On a Single Channelmentioning
confidence: 99%