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The Performance Comparison of the MMA and SCA Algorithm for Self Adaptive Equalization

자기 적응 등화를 위한 MMA와 SCA 알고리즘의 성능 비교

  • Lim, Seung-Gag (Dept. of Information and Communication, Kongju National University)
  • 임승각 (공주대학교 정보통신공학부)
  • Received : 2012.01.10
  • Accepted : 2012.04.13
  • Published : 2012.04.30

Abstract

This paper deals with the performance comparison of adaptive equalization algorithm, MMA and SCA, that is used for the minimization of the distortion and noise effect in the communication channel.. The transmitting signal will be distorted and received due to the nonlinearties of magnitude and phase transfer characteristics of communication channel, the compensation of it by using the self adaptive equalizer. The constant modulus has important metric in the self adaptive equalizer, the MMA uses the 2nd and 4th high order statistics of transmitting signal, the SCA uses the 2nd order statistics of transmitting signal only in order to the calculation of it. We compared to the compensation performance of the MMA and SCA by the computer simulation that are possible to the compensation of the two kinds of transfer characteristics at same times by the relatively simple arithmatic operation. We used to the recovered constellation, residual isi and MSE, SER that are the essential index for the comparison of the adaptive equalizer. The result of performance comparison of algorithms, the MMA which uses the high order statistics of transmitting signal has good performance in the MSE and SER compared to the SCA which is using the low order statistics. But in the recovered costellation and residual isi, the SCA has a good than the MMA.

본 논문에서는 통신 채널에서 발생되는 찌그러짐과 잡음의 영향을 최소화하기 위하여 사용되는 적응 등화 알고리즘인 MMA (Multi-Modulus Algorithm)와 SCA (Square Contour Algorithm)의 성능을 비교하였다. 송신 신호는 통신 채널의 진폭 전달 특성과 위상 전달 특성의 비선형성으로 인하여 찌그러져 수신될 것이므로 수신측에서 자기 적응 등화 방식을 사용하여 이들을 보상하는 것이 필요하게 된다. 자기 적응 등화 알고리즘에서는 Constant Modulus가 중요한 의미를 가지는데, 이의 계산을 위하여 MMA는 송신 신호의 2차와 4차 의 고차 통계치를 이용하지만 SCA는 2차 통계치만을 이용하는 Modulus를 이용하게 된다. 다른 알고리즘에 비해 간단한 연산으로 이들 2 가지의 전달 특성을 동시에 보상할 수 있는 알고리즘인 MMA와 SCA의 성능을 컴퓨터 시뮬레이션을 통해 비교하였다. 이때 성능의 비교를 위하여 필수적인 복원 성상도, 잔류 isi양 및 MSE, SER을 사용하였으며, 성능의 비교 결과 송신 신호의 고차 통계치를 이용하는 MMA 방식이 MSE, SER,에서 저차 통계치를 이용하는 SCA 방식보다 우월하였으며 복원 성상도와 잔류 isi에서는 SCA가 MMA보다 우월함을 알 수 있었다.

Keywords

References

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