On the performance of pilot-aided coherent detection of M-ary PSK carriers in mobile satellite communications

Error-Bound Formulation for Multichannel Reception of<tex>$M$</tex>-DPSK and Pilot-Aided<tex>$M$</tex>-PSK Over Rayleigh-Fading Channels With Postdetection Combining

“…In the case of pilot-aided -CPSK analysis, perfect correlation between channel estimate and data signal is assumed in Section II-C. However, this assumption is not valid when the bandwidth of PF and INF is narrower than the bandwidth of the fading spectrum [16], [17], [20]- [22]. By following the analysis given in [16], the effect of decorrelation between the channel estimate and data signal on PTA system can be incorporated by modifying the covariance matrix .…”

“…In this analysis, the PF is assumed to be an ideal bandpass filter, i.e., the equivalent lowpass form of PF is an unity gain rectangular filter with bandwidth of . To avoid distortion due to filtering, the value of must be equal to or greater than the bandwidth of the power spectrum of the received pilot signal [14], [16], [17]. In the case of land mobile radio environments, the bandwidth of the received pilot-tone signal-power spectrum can be spread up to twice of the maximum Doppler frequency [5].…”

“…Section II has shown that the format of the decision variables for -DPSK, PTA, and PSA -CPSK are equivalent [see (17)]. Therefore, a common analysis can be applied to formulate the SEP of the three modulation schemes.…”

“…For -order postdetection diversity, the combiner sums all the demodulator outputs and forms a combined vector , which can be expressed as (17) Therefore, can be used as a decision variable for -DPSK, PTA, and PSA -CPSK diversity receivers.…”

“…Based on pervious analysis given in [14]- [17], this paper assumes that Manchester encoding (also known as biphase line coding) is used to create a spectral null at the direct current (dc) level of data signal spectrum, so that the pilot tone can be inserted without interference to the data signal. 2 For PTA -CPSK, the equivalent baseband transmitted signal is the summation of the data signal and pilot signals , i.e.,…”