A SECOND MOMENT EXPONENTIAL ERROR BOUND FOR PEAK LIMITED BINARY SYMMETRIC COHERENT CHANNELS AT LOW SNR.
INSTITUTE FOR DEFENSE ANALYSES ARLINGTON VA RESEARCH AND ENGINEERING SUPPORT DIV
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An exponential-type bound on error rate, Pe, for peak limited binary coherent channels operated at low SNR is presented. The bound depends exponentially only on the first and second moments of the channel output and serves to justify, in part, the use of SNR calculations for error rate performance. It is assumed that the receiver output, V, is given by a simple sum of nTW identically distributed, independent random variables w sub i, each of which is decomposable into the sum of two independent random variables, z sub i and eta sub i, i.e., w sub i z sub i eta sub i. The z sub i are peak-limited by B sub z, numerical value of z sub i or B sub z, whereas eta sub i are normal 0, sq sigma. The z sub i represent the output of a peak-limited channel and the eta sub i represent any post channel receiver thermal noise which may be zero, sq sigma 0. For example, the z sub i may represent the output of a bandpass limited satellite repeater, with an interference input in addition to the desired signal, and eta sub i the front-end noise in a receiving ground station. Author
- Radio Communications