PSK-Type Modulation with Overlapping Baseband Pulses

One of the most interesting challenges in the field of digital radio is to generate and transmit signals which meet the spectral requirements and which have high detection efficiencies. The spectral efficiency of PSK-type modulation with overlapping baseband pulses is known to be better than that with nonoverlapping pulses of the same form; but, to our knowledge, no analysis is presently available to determine their detection efficiency. In this paper a method has been given to evaluate the error probability performance of PSK-type modulation with baseband pulses of finite overlap and mutually independent samples. It is shown that the error probability can be computed with any desired accuracy. For BPSK and for some typical transmit and receive filters and for a transparent channel corrupted by additive Gaussian noise we compare the detection efficiencies when the baseband modulation pulses have zero and nonzero overlap and when the transmitted signal satisfies the same spectral requirement. The nonoverlapping rectangular signaling is shown to be superior to overlapping raised-cosine signaling, but the differential degradation is less than 0.8 dB if the twosided 99-percent bandwidth W 99 satisfies 1.1/T \leq W_{99}\leq 1.6/T . The analytical results presented here for a binary system can be extended with minor modifications to any M -ary PSK system, M > 2 .

[1]  B. Glance,et al.  Power spectra of multilevel digital phase-modulated signals , 1971 .

[2]  Osamu Shimbo,et al.  Performance of M -ary PSK systems in Gaussian noise and intersymbol interference , 1973, IEEE Trans. Inf. Theory.

[3]  V. Prabhu.  Intersymbol Interference Performance of Systems with Correlated Digital Signals , 1973, IEEE Trans. Commun..

[4]  L. J. Greenstein,et al.  Spectra of PSK Signals with Overlapping Baseband Pulses , 1977, IEEE Transactions on Communications.

[5]  G. Crippa,et al.  Intersymbol, Interchannel and Cochannel Interferences in Binary and Quaternary PSK Systems , 1971 .

[6]  C. L. Ruthroff,et al.  Adaptive coding for coherent detection of digital phase modulation , 1974 .

[7]  V. Prabhu,et al.  Error-Rate Considerations for Digital Phase-Modulation Systems , 1969 .

[8]  V. K. Prabhu,et al.  Efficient use of the radio spectrum and bandwidth expansion , 1973 .

[9]  V. Prabhu,et al.  Error Probability Performance of M-ary CPSK Systems With Intersymbol Interference , 1973, IEEE Trans. Commun..

[10]  V. K. Prabhu,et al.  Spectra of digital phase modulation by matrix methods , 1974 .

[11]  Y. Y. Lee.  28-GHz varactor continuous phase modulator , 1975 .

[12]  Silvano Pupolin,et al.  Moments of correlated digital signals for error probability evaluation , 1975, IEEE Trans. Inf. Theory.

[13]  Sergio Benedetto,et al.  Combined Effects of Intersymbol, Interchannel, and Co-Channel Interferences in M-ary CPSK Systems , 1973, IEEE Trans. Commun..

[14]  C. L. Ruthroff,et al.  A linear phase modulator for large baseband bandwidths , 1970, Bell Syst. Tech. J..

[15]  V. K. Prabhu,et al.  Some considerations of error bounds in digital systems , 1971 .

[16]  V. K. Prabhu,et al.  Spectral occupancy of digital angle-modulation signals , 1976, The Bell System Technical Journal.

[17]  Donald W. Tufts,et al.  Intersymbol interference and error probability , 1966, IEEE Trans. Inf. Theory.