Eigenvalue Distribution of Correlation Matrix in Asynchronous CDMA with Infinite Observation Window Width
Asymptotic spectral distribution (ASD) of the cross-correlation matrix is derived for a large-system asynchronous direct sequence-code division multiple access (DS-CDMA) with random spreading sequences. The crosscorrelation matrix is formed by an infinite input symbol length. Two levels of asynchron...
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Format: | Tagungsbericht |
Sprache: | eng |
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Zusammenfassung: | Asymptotic spectral distribution (ASD) of the cross-correlation matrix is derived for a large-system asynchronous direct sequence-code division multiple access (DS-CDMA) with random spreading sequences. The crosscorrelation matrix is formed by an infinite input symbol length. Two levels of asynchronism are considered. One is symbol-asynchronous but chip-synchronous, and the other is chip-asynchronous. The results are applicable to arbitrary chip waveforms. The existence of a nonrandom ASD is proved by moment convergence theorem, where the focus is on the existence of asymptotic eigenvalue moments (AEM) of all orders. A combinatorics approach based on noncrossing partition of set partition theory is adopted for AEM computation. |
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ISSN: | 2157-8095 2157-8117 |
DOI: | 10.1109/ISIT.2007.4557640 |