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Published January 1, 2003 | public
Journal Article Open

On the peak-to-average power of OFDM signals based on oversampling

Abstract

Orthogonal frequency-division multiplexing (OFDM) introduces large amplitude variations in time, which can result in significant signal distortion in the presence of nonlinear amplifiers. We introduce a new bound for the peak of the continuous envelope of an OFDM signal, based on the maximum of its corresponding oversampled sequence; it is shown to be very tight as the oversampling rate increases. The bound is then used to derive a closed-form probability upper bound for the complementary cumulative distribution function of the peak-to-mean envelope power ratio of uncoded OFDM signals for sufficiently large numbers of subcarriers. As another application of the bound for oversampled sequences, we propose tight relative error bounds for computation of the peak power using two main methods: the oversampled inverse fast Fourier transform and the method introduced for coded systems based on minimum distance decoding of the code.

Additional Information

© Copyright 2003 IEEE. Reprinted with permission. Paper approved by C. Tellambura, the Editor for Modulation and Signal Design of the IEEE Communications Society. Manuscript received July 21, 2001; revised February 10, 2002; February 27, 2002; April 12, 2002; and May 20, 2002. [Posted online: 2003-02-25] This paper was presented in part at the IEEE International Conference on Communications, New York, NY, May 2002. The authors are indebted to C. Tellambura for his comment on Theorem 1 that improved the bound and changed the theorem to its present form. Thanks are also due to the anonymous reviewers for their constructive suggestions.

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August 22, 2023
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