Abstract

Orthogonal frequency division multiplexing (OFDM) is sensitive to carrier frequency offset (CFO), which destroys the orthogonality and causes inter-carrier interference (ICI). ICI self-cancellation schemes based on polynomial cancellation coding (PCC-OFDM) can evidently reduce the sensitivity of systems to CFO. In this paper, we analyze the performance of PCC-OFDM systems over additive white Gaussian noise (AWGN) channels in the presence of CFO. Two criteria are used to evaluate the effect of the CFO on performance degradation. Firstly, the closed-form expressions of the statistical average carrier-to-interference power ratio (CIR) and ICI power are presented. The closed-form expressions depend only on the normalized CFO, and are irrelevant to the number of subcarriers. Secondly, by exploiting the properties of the Beaulieu series, the effect of the CFO on symbol error rate (SER) for PCC-OFDM systems modulated with BPSK, QPSK and 16-QAM is exactly expressed as the sum of an infinite series in terms of the characteristic function (CHF) of the ICI.

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