Generic error probabilities

This paper presents new forms for an error probability associated, with the phase angle between two vectors perturbed by Gaussian noise. An interesting consequence of the underlying generic form is a new expression for the symbol error rate in MDPSK that is very similar to its counterpart for MPSK. The generic error probability is further shown to contain as special cases MPSK, MDPSK, CPFSK, and digital FM; and to give a new expression for the Marcum Q-function. The generic error probability also simplifies the error probability expressions in other situations such as nonorthogonal signaling, maximum likelihood differential detection of DPSK with block-by-block detection, and Gray coding of MDPSK.

[1]  Robert F. Pawula,et al.  Refinements to the theory of error rates for narrow-band digital FM , 1988, IEEE Trans. Commun..

[2]  M. Schwartz,et al.  Communication Systems and Techniques , 1996, IEEE Communications Magazine.

[3]  S. Rice,et al.  Distribution of the Phase Angle Between Two Vectors Perturbed by Gaussian Noise , 1982, IEEE Trans. Commun..

[4]  Robert F. Pawula.  A new formula for MDPSK symbol error probability , 1998, IEEE Communications Letters.

[5]  R. Pawula.  Relations between Rice Ie-function and Marcum Q-function with applications to error rate calculations , 1995 .

[6]  Marvin K. Simon,et al.  A new twist on the Marcum Q-function and its application , 1998, IEEE Communications Letters.

[7]  W. Osborne,et al.  Coherent and Noncoherent Detection of CPFSK , 1974, IEEE Trans. Commun..

[8]  Dariush Divsalar,et al.  Some new twists to problems involving the Gaussian probability integral , 1998, IEEE Trans. Commun..

[9]  T. Schonhoff.  Symbol Error Probabilities for M-ary CPFSK: Coherent and Noncoherent Detection , 1976, IEEE Trans. Commun..

[10]  John G. Proakis,et al.  Digital Communications , 1983 .

[11]  Carl W. Helstrom,et al.  Elements of signal detection and estimation , 1994 .

[12]  Franklin S. Weinstein,et al.  Simplified relationships for the probability distribution of the phase of a sine wave in narrow-band normal noise (Corresp.) , 1974, IEEE Trans. Inf. Theory.

[13]  J. Craig.  A new, simple and exact result for calculating the probability of error for two-dimensional signal constellations , 1991, MILCOM 91 - Conference record.

[14]  Mohamed-Slim Alouini,et al.  A unified approach to the performance analysis of digital communication over generalized fading channels , 1998, Proc. IEEE.

[15]  R. Pawula,et al.  The Effects of Noise Correlation and Power Imbalance on Terrestrial and Satellite DPSK Channels , 1983, IEEE Trans. Commun..

[16]  R. F. Pawula,et al.  On the Theory of Error Rates for Narrow-Band Digital FM , 1981, IEEE Trans. Commun..