Abstract
In this article, we unveil a new property of linear interference cancellation detectors. Particularly, we focus in this study on the linear parallel interference cancellation (LPIC) detector and show that it exhibits a semi-convergence property. The roots of the semi-convergence behavior of the LPIC detector are clarified and the necessary conditions for its occurrence are determined. In addition, we show that the LPIC detector is in fact a regularization scheme and that the stage index and the weighting factor are the regularization parameters. Consequently, a stopping criterion based on the Morozov discrepancy rule is investigated and tested. Simulation results are presented to support our theoretical findings.
Highlights
Multi access interference (MAI) is the main limiting factor for the capacity of the third generation cellular system employing Code Division Multiple Access (CDMA) scheme [1]
Other types of interference exist in other systems and may reduce capacity if not mitigated properly, i.e., the inter-carrier interference (ICI) in orthogonal frequency division multiple access (OFDMA) and inter-antenna interference (IAI) in multi input multi output (MIMO) systems, just to name a few [1]
We proved that the linear parallel interference cancellation (LPIC) detector exhibits a semi-convergence behavior if the discrete Picard condition is not satisfied
Summary
Multi access interference (MAI) is the main limiting factor for the capacity of the third generation cellular system employing Code Division Multiple Access (CDMA) scheme [1].
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