Generalized bounds on the crest-factor distribution of OFDM signals with applications to code design

In this paper bounds on the crest-factor (CF) distribution of OFDM signals are generalized as firstly, independent subcarriers a complete characterization of arbitrary complex constellations is derived; secondly, for dependent subcarriers bounds are derived in terms of the weight distribution and their duals of the underlying code. Implications on code design are also discussed. Generalizations to linear, binary codes are given in terms of the weight distribution

[1]  D. Slepian.  Group codes for the Gaussian channel , 1968 .

[2]  Babak Hassibi,et al.  Existence of codes with constant PMEPR and related design , 2004, IEEE Transactions on Signal Processing.

[3]  Kenneth G. Paterson,et al.  On the existence and construction of good codes with low peak-to-average power ratios , 2000, IEEE Trans. Inf. Theory.

[4]  Dennis Goeckel,et al.  A modern extreme value theory approach to calculating the distribution of the peak-to-average power ratio in OFDM systems , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[5]  F. MacWilliams,et al.  The Theory of Error-Correcting Codes , 1977 .

[6]  Hideki Ochiai,et al.  Performance analysis of deliberately clipped OFDM signals , 2002, IEEE Trans. Commun..

[7]  Osnat Keren,et al.  More on the Distance Distribution of BCH Codes , 1999, IEEE Trans. Inf. Theory.

[8]  Dov Wulich,et al.  Peak-to-average power ratio in high-order OFDM , 2001, IEEE Trans. Commun..

[9]  Emanuele Viterbo,et al.  Representing group codes as permutation codes , 1999, IEEE Trans. Inf. Theory.

[10]  Hamid Jafarkhani,et al.  On the computation and reduction of the peak-to-average power ratio in multicarrier communications , 2000, IEEE Trans. Commun..

[11]  Mathias Friese.  On the achievable information rate with peak-power-limited orthogonal frequency-division multiplexing , 2000, IEEE Trans. Inf. Theory.

[12]  Holger Boche,et al.  Upper bounds on the statistical distribution of the crest-factor in OFDM transmission , 2003, IEEE Trans. Inf. Theory.

[13]  Elena Costa,et al.  M-QAM-OFDM system performance in the presence of a nonlinear amplifier and phase noise , 2002, IEEE Trans. Commun..

[14]  Shu Lin,et al.  An approximation to the weight distribution of binary primitive BCH codes with designed distances 9 and 11 , 1986, IEEE Trans. Inf. Theory.

[15]  Holger Boche,et al.  Peak value estimation of bandlimited signals from their samples, noise enhancement, and a local characterization in the neighborhood of an extremum , 2003, IEEE Trans. Signal Process..

[16]  Patrick Solé.  A limit law on the distance distribution of binary codes , 1990, IEEE Trans. Inf. Theory.

[17]  Gerhard Wunder,et al.  On the statistical distribution of the crest-factor of codes in OFDM transmission , 2003, Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674).

[18]  A. Gersho,et al.  Coefficient inaccuracy in transversal filtering , 1979, The Bell System Technical Journal.

[19]  Hideki Ochiai,et al.  On the distribution of the peak-to-average power ratio in OFDM signals , 2001, IEEE Trans. Commun..