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Adaptive SOICAF Algorithm for PAPR Mitigation in OFDM Systems

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Abstract

Orthogonal frequency division multiplexing (OFDM) technology widely used in wireless communications applications for its high data rate. The major limitation of OFDM is the peak-to-average power (PAPR) problem. Several techniques were applied to mitigate PAPR in OFDM application systems. One of the schemes used for PAPR mitigation is Iterative clipping and filtering (ICAF). It uses the same or identical signals for recursive clipping with a constant threshold level for distinct levels of iterations. This scheme drives signal processing blocks like Fast-Fourier transform (FFT)/inverse FFT (IFFT) blocks the number of times to achieve the required level of PAPR, thereby consumes the average system power and takes more computational time. For further improvement, a new adaptive algorithm to mitigate PAPR in OFDM systems proposed. The proposed adaptive algorithm Lagrange multiplier optimization. Results after simulation justify that depending on the threshold value, PAPR reduction achieved with a slight degradation in BER compared with other existing techniques. BER remains same for low threshold level value, but for high threshold level values it is little bit degraded. Over all PAPR reduction, it performs better by 4 dB when compared to the other schemes. In the case of BER tradeoffs, the complexity of the design and computational speed of resources usage minimized. By carefully selecting the clipping threshold, we can achieve same BER with good reduction in PAPR.

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Acknowledgements

Authors like to express their gratitude towards the department of ECE and management of VRSiddhartha Engineering College and ANU College of Engineering for their support and encouragement during this work. Further P. Vijaya Kumar likes to express his gratitude to DST through REACH Grant TIFAC/REACH/SF/25515420 Nov 27, 2007.

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Authors and Affiliations

  1. Department of ECE, ANU College of Engineering and Technology, Acharya Nagarjuna University, Guntur, Andhra Pradesh, 522510, India

    Vijaya Kumar Padarti

  2. Bapatla Engineering College, Bapatla, Andhra Pradesh, 522510, India

    N. Venkateswara Rao

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  1. Vijaya Kumar Padarti
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  2. N. Venkateswara Rao
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Correspondence to Vijaya Kumar Padarti.

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Appendix

Appendix

The symbol y[n] is used which is Rayleigh distributed and expression is given as

$$f_{y(n)} (y_{0} ) = \frac{{y_{0}^{2} }}{{\sigma_{y}^{2} }}e\left( { - \frac{{y_{0}^{2} }}{{2\sigma_{y}^{2} }}} \right)\;{\text{for}}\;{\text{all}}\;{\text{values}}\;0\;{\text{to}}\;{\text{MN}}$$
(15)

For the above distributed function, peak power dominates the average power, which severely affects the OFDM systems.

$$CCDF_{{\left| {y[n]} \right|}} = Probability\;(PAPR > threshold\;value)$$

and is mathematically equal to

$$CCDF_{{\left| {y[n]} \right|}} (y_{0} ) = 1 - e\left( { - \frac{{y_{0}^{2} }}{{\sigma_{y}^{2} }}} \right)\;{\text{for}}\;{\text{all}}\;{\text{y}}_{0} \, > \,0\; {\text{is}}\;{\text{used}}$$
(16)

which is used.

LG function is mathematically defined as

$$LG(x,\lambda ) = f(x) + \lambda g(x)$$
(17)

Which is being used in Eq. (12)

Complementary error function is used in Eq. (14) and it is mathematically defined as

$$erfc(x) = \frac{2}{\sqrt \pi }\int\limits_{x}^{\infty } {e^{{ - t^{2} }} dt}$$
(18)

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Padarti, V.K., Rao, N.V. Adaptive SOICAF Algorithm for PAPR Mitigation in OFDM Systems. Wireless Pers Commun 113, 927–943 (2020). https://doi.org/10.1007/s11277-020-07260-y

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