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arXiv 1703.02008cs.ITmath.IT
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1比特ADC和未知Quantization门限的信道估计性能分析

Performance Analysis for Channel Estimation with 1-bit ADC and Unknown Quantization Threshold

Manuel S. Stein, Shahar Bar, Josef A. Nossek, Joseph Tabrikian

摘要:

在这项工作中,从一个低复杂度的模拟-数字转换器(ADC)与$1$位输出分辨率和未知的量化阈值获得的测量信号参数估计的问题被认为是。单比较器ADC具有高能效,可以超高采样率工作。对于这样的系统的分析,通常假设一个固定的和已知的量化阈值。在对称的情况下,即,零硬限制偏移,众所周知,与理想的$\infty$位转换器相比,在低信噪比(SNR)状态下,信号处理性能适度降低${2}/π$($-1.96$ dB)。由于硬件缺陷,低复杂度$1$位ADC在实践中将表现出不同于零的未知阈值。因此,我们研究了接收数据经过量化水平未知的硬限幅器处理后,使用渐近最优信道估计算法所能获得的精度。为了表征这些非线性算法的估计性能,我们采用解析误差表达式为不同的设置,同时建模的偏移作为一个讨厌的参数。在低信噪比制度,我们建立了必要的条件消失的损失,由于丢失的偏移知识在接收机。作为一个应用,我们认为,单输入单输出无线信道的符号间干扰的估计和验证我们的分析,通过比较分析和实验性能的研究估计算法。最后,我们评论的扩展到多输入多输出信道模型。

英文摘要:

In this work, the problem of signal parameter estimation from measurements acquired by a low-complexity analog-to-digital converter (ADC) with $1$-bit output resolution and an unknown quantization threshold is considered. Single-comparator ADCs are energy-efficient and can be operated at ultra-high sampling rates. For analysis of such systems, a fixed and known quantization threshold is usually assumed. In the symmetric case, i.e., zero hard-limiting offset, it is known that in the low signal-to-noise ratio (SNR) regime the signal processing performance degrades moderately by ${2}/π$ ($-1.96$ dB) when comparing to an ideal $\infty$-bit converter. Due to hardware imperfections, low-complexity $1$-bit ADCs will in practice exhibit an unknown threshold different from zero. Therefore, we study the accuracy which can be obtained with receive data processed by a hard-limiter with unknown quantization level by using asymptotically optimal channel estimation algorithms. To characterize the estimation performance of these nonlinear algorithms, we employ analytic error expressions for different setups while modeling the offset as a nuisance parameter. In the low SNR regime, we establish the necessary condition for a vanishing loss due to missing offset knowledge at the receiver. As an application, we consider the estimation of single-input single-output wireless channels with inter-symbol interference and validate our analysis by comparing the analytic and experimental performance of the studied estimation algorithms. Finally, we comment on the extension to multiple-input multiple-output channel models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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