A performance analysis of trellis-coded modulation schemes over Rician fading channels

This paper presents a saddle point approximation (SAP) method to compute the pairwise error probability (PEP) of trellis-coded modulation (TCM) schemes over Rician fading channels. The approximation is applicable under several conditions, such as finite and ideal interleaving, ideal coherent and pilot-tone aided detection, and differential detection. The accuracy of this approximation is demonstrated by comparison to the results of numerical integration. When ideal interleaving is assumed, an asymptotic approximation for the PEP of ideal coherent, pilot-tone aided or differentially detected TCM is derived. This asymptotic approximation of the PEP is in a product form and much tighter than the ordinary Chernoff bound on the PEP. Also, based on the SAP, the effect of finite interleaving depth on the error performance of TCM schemes over Rician and shadowed Rician channels is studied. >

[1]  Paul K. M. Ho,et al.  Error performance of interleaved trellis-coded PSK modulations in correlated Rayleigh fading channels , 1992, IEEE Trans. Commun..

[2]  James K. Cavers,et al.  Analysis of the error performance of trellis-coded modulations in Rayleigh-fading channels , 1992, IEEE Trans. Commun..

[3]  Dariush Divsalar,et al.  Trellis Coded Modulation for 4800-9600 bits/s Transmission Over a Fading Mobile Satellite Channel , 1987, IEEE J. Sel. Areas Commun..

[4]  Peter J. McLane,et al.  PSK and DPSK trellis codes for fast fading, shadowed mobile satellite communication channels , 1988, IEEE Trans. Commun..

[5]  C. Helstrom,et al.  Approximate Evaluation of Detection Probabilities in Radar and Optical Communications , 1978, IEEE Transactions on Aerospace and Electronic Systems.

[6]  Peter J. McLane,et al.  Error bounds for trellis-coded MPSK on a fading mobile satellite channel , 1991, IEEE Trans. Commun..

[7]  Carl W. Helstrom,et al.  Computing the performance of optical receivers with avalanche diode detectors , 1988, IEEE Trans. Commun..

[8]  J. Cavers.  An analysis of pilot symbol assisted modulation for Rayleigh fading channels (mobile radio) , 1991 .

[9]  K. Schumacher.  Relationship between the Saddle-point Approximation and Modified Chernoff Bound , 1990 .

[10]  Lloyd J. Mason.  Error Probability Evaluation for Systems Employing Differential Detection in a Rician Fast Fading Environment and Gaussian Noise , 1987, IEEE Trans. Commun..

[11]  L. L. Campbell,et al.  Trellis coded MDPSK in correlated and shadowed Rician fading channels , 1991 .

[12]  S. Rice.  Efficient evaluation of integrals of analytic functions by the trapezoidal rule , 1973 .

[13]  Peter J. McLane,et al.  Uniform distance and error probability properties of TCM schemes , 1991, IEEE Trans. Commun..

[14]  J. W. Modestino,et al.  Convolutional Code Performance in the Rician Fading Channel , 1976, IEEE Trans. Commun..

[15]  David Haccoun,et al.  Bounds on the error performance of coding for nonindependent Rician-fading channels , 1992, IEEE Trans. Commun..

[16]  John J. O'Reilly,et al.  Relationship between the saddlepoint approximation and the modified Chernoff bound [optical communication] , 1990, IEEE Trans. Commun..