5. Detection of Known Signals in Noise

This chapter considers the bit error rate performance of digital signaling on frequency non-selective (flat) fading channels with additive white Gaussian noise AWGN. A vector representation is first introduced for digital signaling on flat fading channels with additive white Gaussian noise (AWGN). Afterwards, a generalized analysis is provided for the error rate performance of digital signaling on flat fading channels. The structure of the optimum coherent receiver is then derived for the detection of known signals in AWGN. The error probability performance of various coherently detected digital signaling schemes is considered, including phase shift keying, quadrature amplitude shift keying, orthogonal signals, and orthogonal frequency division multiplexing. Other types of detection schemes are treated, including differential detection of differentially encoded binary phase shift keying and differentially encoded π∕4-phase shifted quadrature phase shift keying. Also considered is the non-coherent detection of orthogonal signals. Finally, the chapter wraps up with a treatment of coherent and non-coherent detection of continuous phase modulated signals.