Asymptotic performance of M-ary orthogonal signals inworst case partial-band interference and Rayleigh fading |
| |
Authors: | Hegde MV Stark WE |
| |
Affiliation: | Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI; |
| |
Abstract: | It is shown that for worst-case partial-band jamming, the error probability performance (for fixed Eb/NI) becomes worse with increasing M for (M>16). The asymptotic probability-of-error is not zero for any Eb/N I(>ln 2), but decreases inverse linearly with respect to it. In the fading case, the error-probability performance (for fixed Eb/N0) improves with M for noncoherent detection, but worsens with M for coherent detection. For large Eb/N0 the performance of the Rayleigh fading channel asymptotically approaches the same limit as the worst case partial-band jammed channel. However, for values of M at least up to 4096, the partial-band jammed channel does better. While it is unlikely that an M-ary orthogonal signal set with M>1024 will be used in a practical situation, these results suggest an important theoretical problem; namely, what signal set achieves reliable communication |
| |
Keywords: | |
|
|