On the Properties of Cubic Metric for OFDM Signals

As a metric for amplitude fluctuation of orthogonal frequency division multiplexing (OFDM) signal, cubic metric (CM) has received an increasing attention because it is more closely related to the distortion induced by nonlinear devices than the well-known peak-to-average power ratio (PAPR). In this letter, the properties of CM of OFDM signal is investigated. First, asymptotic distribution of CM is derived. Second, it is verified that 1.7 times oversampling rate is good enough to capture the CM of continuous OFDM signals in terms of mean square error, which is also practically meaningful because the fast Fourier transform size is typically 1.7 times larger than the nominal bandwidth in the long-term evolution (LTE) cellular communication systems.

[1]  Youxi Tang,et al.  Descendent clipping and filtering for cubic metric reduction in OFDM systems , 2013 .

[2]  Tao Jiang,et al.  Invertible Subset QC-LDPC Codes for PAPR Reduction of OFDM Signals , 2015, IEEE Transactions on Broadcasting.

[3]  Jose Garcia Doblado,et al.  Cubic Metric Reduction for DCO-OFDM Visible Light Communication Systems , 2015, Journal of Lightwave Technology.

[4]  Babak Hossein Khalaj,et al.  On the peak-to-average power of OFDM signals based on oversampling , 2003, IEEE Trans. Commun..

[5]  Shahrokh Valaee,et al.  Joint Reduction of Peak-to-Average Power Ratio, Cubic Metric, and Block Error Rate in OFDM Systems Using Network Coding , 2011, IEEE Transactions on Vehicular Technology.

[6]  Marc Deumal,et al.  On Cubic Metric Reduction in OFDM Systems by Tone Reservation , 2011, IEEE Transactions on Communications.

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

[8]  Rui Dinis,et al.  Measuring the Magnitude of Envelope Fluctuations: Should We Use the PAPR? , 2014, 2014 IEEE 80th Vehicular Technology Conference (VTC2014-Fall).

[9]  S. Utev.  Central limit theorem for dependent random variables , 1990 .

[10]  Mohamed-Slim Alouini,et al.  Sum of Weibull variates and performance of diversity systems , 2009, IWCMC.

[11]  Hyun-Bae Jeon,et al.  Low-complexity selected mapping scheme using cyclic-shifted inverse fast Fourier transform for peak-to-average power ratio reduction in orthogonal frequency division multiplexing systems , 2013, IET Commun..

[12]  Tao Jiang,et al.  Derivation of PAPR Distribution for OFDM Wireless Systems Based on Extreme Value Theory , 2008, IEEE Transactions on Wireless Communications.

[13]  Michel Daoud Yacoub,et al.  Simple precise approximations to Weibull sums , 2006, IEEE Communications Letters.

[14]  Hailin Zhang,et al.  A Piecewise Linear Companding Transform for PAPR Reduction of OFDM Signals With Companding Distortion Mitigation , 2014, IEEE Transactions on Broadcasting.

[15]  Thomas Eriksson,et al.  Some Statistical Properties of Multicarrier Signals and Related Measures , 2006, 2006 IEEE 63rd Vehicular Technology Conference.

[16]  P. Siohan,et al.  Power Spectral Density and Cubic Metric for the OFDM/OQAM Modulation , 2006, 2006 IEEE International Symposium on Signal Processing and Information Technology.

[17]  Jong-Seon No,et al.  A new SLM OFDM scheme with low complexity for PAPR reduction , 2005, IEEE Signal Process. Lett..

[18]  Chao-Kai Wen,et al.  PAPR Reduction of OFDM Signals Using Cross-Entropy-Based Tone Injection Schemes , 2010, IEEE Signal Processing Letters.

[19]  Sheng-Ju Ku,et al.  Low-Complexity PTS-Based Schemes for PAPR Reduction in SFBC MIMO-OFDM Systems , 2014, IEEE Transactions on Broadcasting.

[20]  George K. Karagiannidis,et al.  Gaussian class multivariate Weibull distributions: theory and applications in fading channels , 2005, IEEE Transactions on Information Theory.