# Algorithm to Improve the Performance of OFDM based WLAN Systems

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2 28 International Journal of Computer Science & Communication (IJCSC) Fig. 1: OFDM System Block Diagram and the Proposed Solution Deliberate clipping might be the simplest method to reduce PAPR. This method limits the samples amplitudes of the input OFDM signal to a predetermined value. If the digital OFDM signals are clipped directly, the resulting clipping noise will all fall in-band and cannot be reduced by filtering. To address this aliasing problem, in this simulation, the OFDM signal is oversampled by a factor of 8. Then, the real valued bandpass samples, x, were clipped at amplitude A as follows: Y = - A, if x < A x, if - A x Α A, if x > Α Although the PAPR is moderately high for OFDM, high magnitude peaks occur relatively rarely and most of the transmitted power is concentrated in signals of low amplitude. Therefore, the statistical distribution of the PAPR should be taken into account. PAPR is independent of modulation used. One way to avoid nonlinear distortion is to operate the amplifier in its linear region. Unfortunately such solution is not power efficient and thus not suitable for battery operated wireless communication applications. Minimizing the PAPR before power amplifier allows a higher average power to be transmitted for a fixed peak power, improving the overall signal to noise ratio at the receiver. It is therefore important to minimize the PAPR. The recovering process will be performed at the receiver side after A/D converter to avoid any reduction in the efficiency of the analog-to digital. The PAPR of a continuous-time OFDM signal cannot be computed accurately by sampling the signal at Nyquist rate. Hence over sampling is essential to produce accurate PAPR estimates. As mentioned before discrete time domain OFDM signal in this simulation is oversampled by a factor of 8. The variation of the envelope of a multi-carrier (2) signal can be defined by the peak to average power ratio (PAPR) which is given by: PAPR = 2 MAX{ x(t) } 2 E{ x(t) } At the transmitter side, the invertible clipping method reduces the amplitude dynamics, and thus the PAPR of the signal that has to be amplified. This result is presented in Complementary Cumulative Distribution Function (CCDF) a term which is defined as follows: (3) CCDF (PAPR(x)) = Prob (PAPR(x) > PAPR0) (4) This function represents the probability that the PAPR of the OFDM signal exceeds the threshold PAPR0. This invertible clipping method allows reducing the PAPR of the OFDM signal. The implementation of deliberate clipping is quite simple and effective in PAPR reduction, but larger clipping ratio results in the severe SER performance degradation. Unfortunately, clipping generates a spectral regrowth (the so called spectral shoulders) on the spectrum of output signal, widening its frequency support. Thus, parasitic frequencies appear in the adjacent channels. Filtering after clipping is therefore compulsory to limit this spectral regrowth and, finally, to assure a good system performance. A cyclic prefix (CP) is then appended to minimize interblock interference and aid the frequency domain equalizer at the receiver. Digital-to analog (D/A) conversion and analog filtering are performed. The clipping process is characterized by the clipping ratio (CR), defined as the ratio between the clipping threshold and the root-mean square (rms) level of the OFDM signal. However, Clipping is a nonlinear process that leads to distortion. Without filtering, clipping causes out-of-band radiation. Digital filtering is present to control out-ofband radiation.

3 Algorithm to Improve the Performance of OFDM based WLAN Systems 29 CL CR = (5) rms level Where CL is the Clipping Level and CR is the Clipping Ratio. large number of subcarriers as in this simulation, high magnitude peaks occur relatively rarely and most of the transmitted power is concentrated in signals of low amplitude. It is important to choose the CR carefully to get a good reduction in the PAPR without degrade the performance of SER. But with this proposed method of recovering the clipped part of the original signal, it is possible to clip the signal hardly or in other word using small CR without degrading the SER performance. The most important thing that should be considered in this proposed recovering method is appropriate choosing of the CR value. In this proposed method, a low Clipping Ratio (CR) will achieve a significant PAPR reduction, and improve the SER performance, but the price is increasing in the amount of the copied signal which is in fact a redundancy in the transmitted data. Fig: CCDF of PAPR for Normal and Clipped OFDM Signal at Different CR with 16-QAM Fig. 3: The Proposed Method to Recover the Clipped OFDM Signal To understand the proposed method of recovering the original signal, figure 3 illustrates the details of copying the clipped part of the OFDM signal and then using it to recover the original signal at the receiver side. 3. RESULTS AND DISCUSSION When using the clipping scheme, the phase information of the signal is completely transmitted, and the amplitude of the signal is clipped if the power of the signal exceeds the maximum permitted power. If using ideal power control to counteract the influence of wireless channel in systems and not considering other factors (such as frequency set-off), the received signal amplitude also shows as the same as the original signal plus to AWGN. Although PAPR is very large for OFDM especially for Fig: Spectrum of Clipped OFDM Signal

4 30 International Journal of Computer Science & Communication (IJCSC) 4. PERFORMANCE OF IEEE802.11G This paper tries to improve the overall performance of IEEE802.11g which is an amendment of Legacy standard, a and b, using OFDM in 2.4 GHz frequency band. To achieve this mission this paper suggests two models with numerous modes to use the clipping technique to control the adaptive modulation. The proposed adaptive modulation (AM) to be used in this simulation is totally different form the conventional AM. The OFDM signal will be clipped hardly when using low order modulation scheme in model to give chance to the high order modulation schemes to be used at low SNR values. The appropriate choosing of clipping ratio is very important to keep the SER at acceptance value. Fig. SER Performance of Clipped and Recovered OFDM Signals Fig: Proposed Model

5 Algorithm to Improve the Performance of OFDM based WLAN Systems 31 Parameters Modulation scheme (mapping scheme) Channel bandwidth(mhz) Table Simulation Parameters FFT Size(NFFT) 64 Number of data subcarriers 48 Useful symbol duration Tu Carrier spacing 1/ Tu Carrier frequency f c Guard Time Channel coding Channel model 5. CONCLUSION Values 4QAM, 16QAM, 64QAM, 128QAM, 256QAM 20MHz 4ms 312.5KHz 2.4GHz 800ns None AWGN Fig. Throughput of IEEE802.11g The numerical results show the ability of this method to eliminate the clipping noise and improve the SER performance compared to the conventional clipped signal and even better than the SER performance of unclipped OFDM system. It is possible to use low CR with this proposed method to get efficient PAPR reduction. But it is important to make appropriate selecting of the CR to minimize the amount of the transmitted copies of the clipped parts of the original OFDM signal to avoid wasting the valuable bandwidth. The analysis and numerical results show that the proposed models can provide improved performance in SER, reduce PAPR, and enhance the throughput of IEEE802.11g-OFDM system. REFERENCES [1] X. Li and L. J. Cimini Jr. Effects of Clipping and Filtering on the Performance of OFDM, IEEE Communication Letters, pp , May [2] V. Tarokh and H. Jafakhani, On the Computation and Reduction of Peak to Average Power Ratio in Multicarrier Communications, Proc. IEEE 53 rd Vehicular Technology Conference, 2, pp , Jan [3] J P. Van Eetvelt, G. Wade and M. Tomlinson, Peak to Average Power Reduction for OFDM Schemes by Selective Scrambling, Electronic Letters, 32, pp , Jan [4] L. Cimini, Jr., Analysis and Simulation of a Digital Mobile Channel Using Orthogonal Frequency Division Multiplexing, IEEE Transactions on Communications, 33, No.7, pp , Jul [5] R. van Nee, G. Awater, M. Morikura, H. Takanashi, M. Webster and K. W. Halford, New High Rate Wireless LAN Standards, IEEE Commun. Mag., pp , Dec [6] C. Eklund, R. B. Marks, K. L. Stanwood, and S. Wang, IEEE Standard : A Technical Overview of the WirelessMAN 326 Air Interface for Broadband Wireless Access, IEEE Commun. Mag., pp , June2002. [7] W. Lu, 4G Mobile Research in Asia, IEEE Commun. Mag., pp , Mar [8] X. Li and L. J. Cimini Jr., Effects of Clipping and Filtering on the Performance of OFDM, IEEE Communication Letters, pp , May [9] A. E. Jones, T. A. Wilkinson and S. K. Barton, Block Coding Scheme for Reduction of Peak to Mean Envelope Power Ratio of Multicarrier Transmission Schemes, Electronic Letters, pp , Dec [10] V. Tarokh and H. Jafakhani, On the Computation and Reduction of Peak to Average Power Ratio in Multicarrier Communications, Proc. IEEE 53 rd Vehicular Technology Conference, 2, pp , Jan 2000.

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