This letter derives the theoretical BER of coded SC-FDE transmission taking advantage of the traditional theoretical results of the instantaneous SINR. The proposed approach is inspired by the fact that the theoretical channel coding gain under AWGN is directly applicable to the traditional FDE performance due to the flat SINR characteristic within an FDE block. The proposed derivation method can provides the theoretical coded BER without any effort of actual signal processing such as

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... , demodulation, and channel coding. The validity of the proposed approach is confirmed by the agreement with the computer simulation results under frequency selective fading channels.