Performance of Information and Communication Systems 1998
DOI: 10.1007/978-0-387-35355-5_18
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Circulant matching method for multiplexing ATM traffic applied to video sources

Abstract: In this paper a method is proposed, called circulant matching method, to approximate the superposition of a number of discrete-time batch Markovian arrival sources by a circulant batch Markovian process, while matching the stationary cumulative distribution and the autocorrelation sequence of the input rate process. Special attention is paid to periodic sources. The method is applied to the superposition of MPEG video sources and the obtained results are validated through experiments.

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Cited by 9 publications
(4 citation statements)
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“…and the extension of this method for periodic transition matrices are described in (Spaey, 1997). The steps are based on the analogous steps in the matching procedure described in (Hwang, 1995).…”
Section: A Methods To Approximate the Superposition Of D-b Mapsmentioning
confidence: 99%
“…and the extension of this method for periodic transition matrices are described in (Spaey, 1997). The steps are based on the analogous steps in the matching procedure described in (Hwang, 1995).…”
Section: A Methods To Approximate the Superposition Of D-b Mapsmentioning
confidence: 99%
“…Today, there are propagation models (Moltchanov et al, 2005;Heereman et al, 2011;Phaiboon et al, 2008;Mantilla et al, 2010), Protocol data units (PDU) error models (Khayam and Radha, 2003;Kong and Shwedyk, 1995;Wang and Moayeri, 1995;Kolar et al, 2011) and arrival models (Lombardo et al, 1998;Spaey and Blondia, 1998;Moltchanov et al, 2003;Loiseau et al, 2010;Dhomeja et al, 2011) all of which capture different aspects of the performance characteristics of WLANs. The RSSI, SNR, or PDU, bit or frame error models, though useful for design of transceivers, cannot be directly used in performance evaluation studies because they must be properly extended to higher layers which provide convenient characterisation of the dynamic nature of a wireless channel at the layer of interest (Moltchanov, 2010).…”
Section: Review Of Past Workmentioning
confidence: 98%
“…In the second case, we obtain a transient chain by setting M = 5, a = .0001 and d = 1.1, meaning the load is very high and equals 4.5454. Finally, example three is the D-BMAP developed in [7] to approximate a superposition of various D-BMAPs, each used to model a variable bit rate source, by a circulant D-BMAP. In the first two examples both the block size m and the number of nonzero blocks N equals M + 1, while in the third we have N = 25 blocks each of size m = 6.…”
Section: M/g/1 Type Markov Chainsmentioning
confidence: 99%