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April 10, 2026SensorsOpen Access

Performance Optimization of Nonorthogonal MFSK for Symbol-by-Symbol Coherent Detection

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Optimizes symbol error performance of nonorthogonal MFSK signals in communications, suggesting improved outcomes.

The aim is to optimize the error performance of nonorthogonal MFSK signals with coherent detection.
Derive the theoretical conditions for frequency separations yielding negative crosscorrelation.
Determine the optimum modulation index for equispaced frequencies to maximize minimum distance.
Optimize nonorthogonal 4FSK and 8FSK signal sets for non-equispaced frequencies.
Optimized waveforms reduce symbol error probability compared to existing MFSK schemes.
Achieved optimization results come with a trade-off of increased bandwidth.
Accurate expressions for symbol error probabilities in nonorthogonal 4FSK under AWGN conditions are proposed.

Luca Rugini (2026) studied this question.

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