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二维的码间干扰信道中马尔可夫随机场的检测

Detection of Markov Random Fields on Two-Dimensional Intersymbol Interference Channels

Ying Zhu, Taikun Cheng, Krishnamoorthy Sivakumar, Benjamin J. Belzer

摘要:

提出了一种新的迭代算法,用于检测被二维的【形】码间干扰(ISI)和加性高斯白噪声(AWGN)破坏的二进制马尔可夫随机场(MRF)。我们假设一阶二进制MRF作为一个简单的模型相关的图像。我们假设一个2D数字存储通道,其中的MRF是交织之前被写入,然后由一个2D传感器读取,这样的通道出现在最近提出的光盘存储器系统。检测算法是两个软输入/软输出(SISO)检测器的级联:迭代行列软判决反馈(IRCSDF)ISI检测器和MRF检测器。MRF检测器是Geman和Geman在IEEE Trans. Pattern Anal.还有马赫内部:一九八四年十一月。在2 x 2平均掩码ISI信道上,在10^{-5}的比特出错率(BER)下,级联算法实现了比单独的IRCSDF检测器节省0.5到2.0 dB的SNR;节省随着MRF变得更加相关或随着SNR降低而增加。该算法也是相当强大的假设和实际MRF参数之间的失配。

英文摘要:

We present a novel iterative algorithm for detection of binary Markov random fields (MRFs) corrupted by two-dimensional (2D) intersymbol interference (ISI) and additive white Gaussian noise (AWGN). We assume a first-order binary MRF as a simple model for correlated images. We assume a 2D digital storage channel, where the MRF is interleaved before being written and then read by a 2D transducer; such channels occur in recently proposed optical disk storage systems. The detection algorithm is a concatenation of two soft-input/soft-output (SISO) detectors: an iterative row-column soft-decision feedback (IRCSDF) ISI detector, and a MRF detector. The MRF detector is a SISO version of the stochastic relaxation algorithm by Geman and Geman in IEEE Trans. Pattern Anal. and Mach. Intell., Nov. 1984. On the 2 x 2 averaging-mask ISI channel, at a bit error rate (BER) of 10^{-5}, the concatenated algorithm achieves SNR savings of between 0.5 and 2.0 dB over the IRCSDF detector alone; the savings increase as the MRFs become more correlated, or as the SNR decreases. The algorithm is also fairly robust to mismatches between the assumed and actual MRF parameters.

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