Patent ID: 8705593

Claim:
An evaluation method for providing a transceiver system with performance information thereof, the transceiver system including a transmitter and a receiver, and modeling a channel between the transmitter and the receiver using Nakagami distribution with a fading parameter, and being configured to perform signal modulation using M-ary phase-shift keying, the transmitter having a plurality of transmit antennas, the receiver having a plurality of receive antennas, said evaluation method to be implemented using an evaluation device and comprising the steps of: a) configuring the evaluation device to set an average signal-to-noise ratio (SNR) for the channel between the transmitter and the receiver of the transceiver system; b) configuring the evaluation device to estimate a symbol error rate related to the signal received by the receiver of the transceiver system based upon the fading parameter, the average SNR, a number of the transmit antennas, and a number of the receive antennas; and c) configuring the evaluation device to provide the transceiver system with the average SNR and the symbol error rate as the performance information of the transceiver system; wherein in step b), when the fading parameter is greater than or equal to ½, the evaluation device is configured to estimate the symbol error rate PSER based upon P SER = a ⁢ b 8 ⁢ π ⁢ ∑ n = 0 ∞ ⁢ α n · ( m / γ _ ) mL T ⁢ L R + n ⁢ Γ ⁡ ( mL T ⁢ L R + n + 1 / 2 ) ( mL T / γ _ + b / 2 ) mL T ⁢ L R + n + 1 / 2 , where m is the fading parameter, L T is the number of the transmit antennas of the transmitter, L R is the number of the receive antennas of the receiver, γ is the average SNR, (a,b)=(2,2 sin 2 (π/M)), Γ ⁡ ( z ) = ∫ 0 ∞ ⁢ t z - 1 ⁢ ⅇ - t ⁢ ⅆ t for an arbitrary positive number z, α 0 = [ 1 Γ ⁡ ( mL R + 1 ) ] L T , and α n = Γ ⁡ ( mL R + 1 ) n ⁢ ∑ j = 1 n ⁢ j ⁡ ( L T + 1 ) - n Γ ⁡ ( mL R + 1 + j ) ⁢ α n - j for a positive integer n.