An alternative derivation for the signal-to-noise ratio of a SSMA system
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gain. In this letter, we present an alternative deayation for the signal-to-noise ratio by use of ensemble-average approach. We feel that this approach is more natural based on the model given by [l]. We show that our formula can be explicitly expressed in terms of the above mentioned parameters. The expression for the SNR in [l] is just a special case when the user number is very large.
[1] M. Pursley,et al. Performance Evaluation for Phase-Coded Spread-Spectrum Multiple-Access Communication - Part I: System Analysis , 1977, IEEE Transactions on Communications.