Counting collision-free transmissions in common-code SSMA communications

This paper presents a technique for computing the probability that f of m transmissions will be collision-free at a given receiver in a spread-spectrum multiple-access (SSMA) radio network in which all transmitters employ identical wideband symbol waveforms for signalling. Separation of signals (collision-freedom) is based on the fine time-resolution characteristics of pulse compression receivers operating on wideband waveforms. A taxonomy of collision-free reception events is presented for a low-complexity sampling receiver operating in the absence of significant resolvable multipath, and combinatorial techniques are used to count collision-free reception events. A method for embedding this calculation in receiver performance analyses is given.<>