Symbol and Bit Error Probabilities of Orthogonal Space-Time Block Codes with Antenna Selection over Keyhole Fading Channels

Abstract—The symbol error rate (SER) and the bit error rate (BER) of orthogonal space-time block codes (OSTBCs) with antenna selection over keyhole fading channels are examined. Considered are receive antenna selection, transmit antenna selec-tion, and joint antenna selection at both the transmitter and the receiver. The exact SERs of OSTBCs for M-PSK and square M-QAM constellations are obtained using the technique of moment generating function (MGF). By applying the Bonferroni-type bounds, tight lower and upper bounds for both the SER and BER are provided in closed-form expressions with finite-range single integrals. The bounds can be applied to arbitrary constellations and mappings. Numerical results show that the bounds can be used to provide practically the exact SER and BER over a wide range of the signal-to-noise ratio. Index Terms—Antenna selection, keyhole fading, orthogonal space-time block codes, Bonferroni-type bounds, symbol error rate (SER), bit error rate (BER). I