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The performance of linear receivers for detection of the single carrier frequency division multiple access transmission over frequency-selective fading channels is investigated in this work. Firstly, the Cumulative Distribution Functions (CDF) of output Signal to Interference plus Noise Ratios (SINR) with Zero Forcing Frequency Domain Equalization (ZF-FDE) and Minimum Mean Squared Error Frequency Domain Equalization (MMSEFDE) are derived by employing the numerical inversion of Laplace transforms. Next, based on the CDFs of the output SINRs, the approximate average bit error rate expressions as functions of the average receive signal to noise ratio for Graycoded quaternary phase shift keying constellations are obtained.
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