The power mean and the logarithmic mean

Abstract-Orthogonal Frequency Division Multiplexing (OFDM) has emerged as very popular wireless transmission technique in which digital data bits are transmitted at a high speed in a radio environment. But the high peak-to-average power ratio (PAPR) is the major setback for OFDM systems demanding expensive linear amplifiers with wide dynamic range. In this article, we introduce a low-complexity partial transmit sequence (PTS) technique for diminishing the PAPR of OFDM systems. The computational complexity of the exhaustive search technique for PTS increases exponentially with the number of sub-blocks present in an OFDM system. So we propose a modified Differential Evolution (DE) algorithm with novel mutation, crossover as well as parameter adaptation strategies (MDE_pBX) for a sub-optimal PTS for PAPR reduction of OFDM systems. MDE_pBX is utilized to search for the optimum phase weighting factors and extensive simulation studies have been conducted to show that MDE_pBX can achieve lower PAPR as compared to other significant DE and PSO variants like JADE, SaDE and CLPSO.

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“…where ( ) 1 , 0 rand stands for a uniformly distributed random number in (0, 1) and mean Pow stands for power mean [10] given by:…”

Section: B the P-best Crossovermentioning

confidence: 99%

Peak-to-average power ratio reduction in OFDM systems using an adaptive differential evolution algorithm

Ghosh

Roy

Das

et al. 2011

2011 IEEE Congress of Evolutionary Computation (CEC)

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“…Recently, the power mean has attracted the attention of many researchers. In particular, many remarkable inequalities for the power mean can be found in the literature [2][3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Sharp Power Mean Bounds for the One-Parameter Harmonic Mean

Chu

Song

2015

Journal of Function Spaces

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“…In [5], Imoru studied on the power mean and the logarithmic mean. Jia and Cao [6] obtained some inequalities for logarithmic mean.…”

Section: Introductionmentioning

confidence: 99%

“…For positive numbers a and b, Arithmetic mean, Geometric mean, Logarithmic mean, Heron mean, Power mean and Identric mean are as follows, cf: ( [19], [11], [9], [5], [8], [6], [7], [10], [13], [12], [20]) see (1)- (6). …”

Section: Introductionmentioning

confidence: 99%