Improved Prabhu upper bound for PAM systems with noise and interference

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Improved Prabhu upper bound for PAM systems with noise and interference

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The Letter presents an improved modification of the upper bound on error probability of the canonical binary system with additive interference and Gaussian noise. The proposed modification is illustrated by a sinusoidal interference example. It is shown that in this case, for a signal-to-noise ratio of 0 dB and signal-to-interference ratio of 3 dB, the modified upper bound is 9% larger than the exact value, which is ∼8.5 times smaller than the error resulting from the Prabhu upper bound on error probability.

Inspec keywords: random noise; digital communication systems; error statistics; interference (signal); pulse amplitude modulation; probability

Other keywords: error probability; additive interference; Gaussian noise; SNR; PAM systems; canonical binary system; Prabhu upper bound; sinusoidal interference; SIR

Subjects: Information theory; Modulation and coding methods; Other topics in statistics

References

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      • K. Schumacher , J.J. O'Reilly . Relationship between the saddlepoint approximation and the modified Chernoff bound. IEEE Trans. , 270 - 272
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      • N.C. Beaulieu . The evaluation of error probabilities for intersymbol and cochannel interference. IEEE Trans. , 1740 - 1749
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