## Abstract

Consider the linear Wiener receiver for multidimensional signals. Such a receiver is frequently encountered in wireless communications and in array processing, and the Signal to noise ratio (SNR) at its output is a popular performance index. The SNR can be modeled as a random quadratic form and in order to study this quadratic form, one can rely on well-know results in Random Matrix Theory, if one assumes that the dimension of the received and transmitted signals go to infinity, their ratio remaining constant. In this paper, we study the asymptotic behavior of the SNR for a large class of multidimensional signals (MIMO, CDMA, MC-CDMA transmissions). More precisely, we provide a deterministic approximation of the SNR, that depends on the system parameters; furthermore, the fluctuations of the SNR around this deterministic approximation are shown to be Gaussian, with variance decreasing as 1/K, where K is the dimension of the transmitted signal.

Original language | English (US) |
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Pages | 590-594 |

Number of pages | 5 |

DOIs | |

State | Published - Dec 1 2008 |

Event | 2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2008 - Recife, Brazil Duration: Jul 6 2008 → Jul 9 2008 |

### Other

Other | 2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2008 |
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Country/Territory | Brazil |

City | Recife |

Period | 07/6/08 → 07/9/08 |

## Keywords

- Antenna arrays
- CDMA
- Central limit theorem
- MC-CDMA
- Random Matrix Theory
- Wiener filtering

## ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Computer Science Applications
- Information Systems