Abstract
This paper derives simple asymptotic closed-form formulas for the average error probabilities of various M-ary modulation schemes (i.e., M-ary differentially coherent phase shift-keying (DPSK) signals, noncoherent correlated binary (NCB) signals, M-ary coherent phase shift-keying (PSK) signals, and M-ary square quadrature amplitude modulation (QAM)), especially in Hoyt (or Nakagami-q) fading channels, since the formula can be effectively used to study the asymptotically achievable error performance. The derived expressions for the representative modulation schemes are much more concise than the existing conventional formulas, showing the very tightness to the error probability results from the existing exact formulas in the high signal-to-noise ratio (SNR) region. Through the rigorous numerical results, we clearly justify the validity of our derivations and analyses.
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