Tracking analysis of the constant modulus algorithm
Tracking analysis of the constant modulus algorithm
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DOI：
10.1109/icassp.2008.4518421
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发表时间：
2008-05
期刊：
影响因子：
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通讯作者：
Magno T. M. Silva;V. Nascimento
中科院分区：
文献类型：
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作者：
Magno T. M. Silva;V. Nascimento
最近，我们提出了一个模型的稳态估计误差的实值恒模为基础的算法作为一个函数的先验误差和一个术语，测量的变化，在发送信号的模。在本文中，我们将此模型扩展到复值数据，并使用它与反馈分析方法，以获得稳态的超额均方误差（EMSE）的常数模算法（CMA）的解析表达式。这种表达是更准确的更大的步长比以前的文献中，证实了分析和模拟结果之间的良好协议。此外，从EMSE表达式，我们得到的CMA步长区间的估计，以确保其收敛性和稳定性，当它被初始化足够接近迫零解。
Recently, we proposed a model for the steady-state estimation error of real-valued constant-modulus-based algorithms as a function of the a priori error and of a term that measures the variability in the modulus of the transmitted signal. In this paper, we extend this model to complex-valued data and use it in conjunction with the feedback analysis method to obtain an analytical expression for the steady-state excess mean-square error (EMSE) of the Constant Modulus Algorithm (CMA). Such expression is more accurate for larger step-sizes than the previous ones in the literature, as confirmed by the good agreement between analytical and simulation results. Furthermore, from the EMSE expression, we obtain an estimate for the CMA step-size interval to ensure its convergence and stability, when it is initialized sufficiently close to the zero-forcing solution.