• Title/Summary/Keyword: Volterra series

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Analysis of Fiber Nonlinearities by Perturbation Method

  • Lee Jong-Hyung;Han Dae-Hyun;Choi Byeong-Yoon
    • Journal of the Optical Society of Korea
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    • v.9 no.1
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    • pp.6-12
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    • 2005
  • The perturbation approach is applied to solve the nonlinear Schrodinger equation, and its valid range has been determined by comparing with the results of the split-step Fourier method over a wide range of parameter values. With γ= 2㎞/sup -1/mW/sup -1/, the critical distance for the first order perturbation approach is estimated to be(equation omitted). The critical distance, Z/sub c/, is defined as the distance at which the normalized square deviation compared to the split-step Fourier method reaches 10/sup -3/. Including the second order perturbation will increase Z/sub c/ more than a factor of two, but the increased computation load makes the perturbation approach less attractive. In addition, it is shown mathematically that the perturbation approach is equivalent to the Volterra series approach, which can be used to design a nonlinear equalizer (or compensator). Finally, the perturbation approach is applied to obtain the sinusoidal response of the fiber, and its range of validity has been studied.

A Preliminary Result on Electric Load Forecasting using BLRNN (BiLinear Recurrent Neural Network) (쌍선형 회귀성 신경망을 이용한 전력 수요 예측에 관한 기초연구)

  • Park, Tae-Hoon;Choi, Seung-Eok;Park, Dong-Chul
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1386-1388
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    • 1996
  • In this paper, a recurrent neural network using polynomial is proposed for electric load forecasting. Since the proposed algorithm is based on the bilinear polynomial, it can model nonlinear systems with much more parsimony than the higher order neural networks based on the Volterra series. The proposed Bilinear Recurrent Neural Network(BLRNN) is compared with Multilayer Perceptron Type Neural Network(MLPNN) for electric load forecasting problems. The results show that the BLRNN is robust and outperforms the MLPNN in terms of forecasting accuracy.

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On Compensating Nonlinear Distortions of an OFDM System Using an Efficient Adaptive Predistorter (효과적인 적응 전처리왜곡기를 이용한 OFDM 시스템에서의 비선형 왜곡 보상)

  • 강현우;조용수;윤대희
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.4
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    • pp.696-705
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    • 1997
  • This paper presents an efficient adaptive predistortion technique compensating linear and nonlinear distortions caused by high-power amplifier (HPA) with memory in OFDM systems. The efficient adaptive data predistortion techniques proposed for compensation of HPA with memory in single carrier systems cannot be applied to OFDM systems since the possible input levels for HPA is infinite in OFDM systems. Also, previous adaptive predistortion techniques, based on Volterra series modeling, are not suitable for real-time implementation due to high computational burden and slow convergence rate. In the proposed approach, the memoryless HPA preceded by a linear filter in OFDM systems is modeled by the Wiener system which is then precompensated by the proposed adaptive predistorter with a minimum number of filter taps. An adaptive algorithm for adjusting the proposed adaptive predistorter is derived using the stochastic gradient method. It is demonstrated by computer simulation that the performance of OFDM system suffering from nonlinear distortion can be greatly improved by the proposed efficient adaptive predistorter using a small number of filter taps.

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