Maximizing SNR in Improper Complex Noise and Applications to CDMA

被引:62
作者
Yoon, Young C. [1 ]
Leib, Harry [1 ]
机构
[1] McGill Univ, Dept Elect Engn, Telecommun & Signal Proc Lab, Montreal, PQ H3A 2A7, Canada
关键词
CDMA; improper complex random processes; matched filter theory; signal detection;
D O I
10.1109/4234.552140
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
The optimum linear time-invariant (LTI) filter that maximizes the signal-to-noise ratio (SNR) is, in general, the solution to an integral equation. This is the well-known matched filter. With regards to the detection of bandpass signals, we present the full form of the integral equation using the complex baseband representation of signals. The correct form of the complex integral equation includes, in addition to the autocorrelation function, a pseudoautocorrelation function which vanishes for most applications. However, in the presence of improper complex noise, overlooking the pseudoautocorrelation leads to a "nonoptimal" filter. To illustrate the concept, we apply the theory to a direct-sequence code-division multi-access (DS-CDMA) system in which improper complex noise arises. In the application, we derive the SNR maximizing filter and the nonoptimal filter and compare their near-far resistances.
引用
收藏
页码:5 / 8
页数:4
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