Performance of Coherent Direct Sequence Spread Spectrum Frequency Shift Keying

We analyze performance of a coherently-detected multi-user direct sequence spread spectrum frequency shift keying system. We derive bit error probability expressions for both synchronous and asynchronous systems, on additive white Gaussian noise and Rayleigh fading channels. For the synchronous system, we analyze different orthogonal system variations. Orthogonality is achieved via both frequency separation and/or orthogonal codes. We also analyze the spectral characteristics of these systems and derive conditions for an equal bandwidth multi-user system