Exact Detection Performance of Normalizer with Multiple-Pulse Frequency-Shift-Keyed Signals in a Partially-Correlated Fading Medium with Generalized Noncentral Chi-Squared Statistics

摘要

The detection and false alarm probabilities, for a normalizer operating in apartially-correlated fading medium with an additive unknown noise level, are derived exactly in the form of series expansions which can be quickly and accurately computed. This new work is an extension of (1), where the characteristic function of the decision variable, for a system operating in a known background noise level, was derived exactly and evaluated for a variety of cases. These new results also replace the approximate analysis of the same normalizer system, that was conducted in (2), with an exact analysis here.