ABSTRACT
This chapter covers the detection of known signals embedded in white Gaussian noise. It addresses the digital and analog correlator solution, and examines the multi-pulse scenario as well as the notion of coherent and non-coherent averaging. The chapter deals with the analog version of the detector implementation, so we need to apply some limiting arguments. When a known signal might be embedded in white Gaussian noise, the matched filter can be derived using a criterion where one maximizes the output signal-to-noise ratios. Bandlimited white Gaussian noise with spectral density has the corresponding correlation function. If the signal amplitudes are identical then coherent phase shift keying (CPSK) will outperform continuous frequence shift keying (CFSK), which in turn outperforms OOK. If the amplitudes are kept identical, the processing loss is 3 dB when going from CPSK to CFSK and an additional loss of 3 dB when going from CFSK to OOK.
