DFT를 사용한 고속 Constant Modulus Algorithm
On the Fast Constant Modulus Algorithm Employing DFT
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초록
CMA(Constant Modulus Algorithm)는 가장 널리 사용되고 있는 블라인드 적응등화 알고리즘 중에 하나이다. 본 논문에서는 DFT를 사용하여 고속으로 필터링을 수행하는 고속 CMA인 FBCMA(Frequency domain Blockl LMS) [8],[9]를 CMA 에 적용한 것인데 커다란 차이점은 CMA가 비선형 cost function을 사용하기 때문에 이를 바로 FBLMS에 적용할 수없다는 점이다. 본 논문에서는 DFT 영역에서 CMA의 cost function을 최소화하는 새로운 비선형 적응기법을 소개하 은각각O(N2), O(N log N)으로서 블록의 크기 N이 클수록 제안된 알고리듬이 유리하다.
Abstract
The CMA (Constant Modulus Algorithm) is one of the widely used blind equalization algorithms. In this paper, a novel fast FBCMA (Frequency domain Block CMA) algorithm employing fast convolution in the DFT domain is proposed. It is similar to the FBLMS (Frequency domain Block LMS) [8],[9] which is used for linear adaptive filtering. But the main difference is that the proposed algorithm need to minimize the nonlinear cost function in the frequency domain. In this paper, a new non-linear adaptation rules minimizing CMA cost function in DFT domain is proposed. The computer simulations result reveal that the proposed FBCMA shows the comparable performance to the conventional CMA, while requiring much less computations. The multiplications required for the conventional CMA and proposed FBCMA is in the order of O(N2)and O(N logN), respectively.
참고문헌 (8)
- "Fast Algorithms for Digital Signal Processing" (1985)
- "Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data communication Systems", com-28(11)
- "Blind Equalizers", com-32(8), pp.871~883
- "Ill-Convergence of Godard Blind Equalizers in Data Communication Systems", 39.(9), pp.1991~
- "Performance Analysis of Frequency-Domain Block LMS Adaptive Filters", 36(2), pp.173~189
- "Developement and Analysis of Adaptive Interference Rejection Technique for Direct Sequence Code Division Multiple Access" (1999), Virginia Polytechnic Institude and State University
- "A tutorial to channel equalization"
- "Frequency domain constant modulus algorithm for DFT를 사용한 고속 Constant Modulus Algorithm 139broadband wireless systems", 1, pp.40~44 (2003)