Optimum receiver filter for a noise-based frequency-offset modulation system

Ibrahim Bilal, A. Meijerink, M. Bentum
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引用次数: 2

Abstract

A frequency-offset transmit-reference (TR) system using a noise carrier is considered in additive white Gaussian noise. The system is studied for any given spectrum of the noise carrier, and the expression for the transfer function of an optimal receiver front-end filter is derived. The maximum achievable performance with respect to spectral shape is evaluated and discussed. The results indicate that the optimal filter in this system, unlike in traditional wireless systems, needs dynamic adaptation to the received signal and noise levels. A convenient but suboptimal choice of the filter is also suggested, and the achievable performance is compared with that of an optimal filter and a performance upper bound. For a certain spectral shape, the suboptimal filter is shown to be an overall good compromise. To meet the performance upper bound, a system using the suboptimal filter, and a noise carrier shaped by a Butterworth filter of order 1, faces a power penalty of 1.89 dB.
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基于噪声的频偏调制系统的最佳接收机滤波器
在加性高斯白噪声环境下,研究了一种带有噪声载波的频偏传输参考系统。研究了噪声载波任意给定频谱下的系统,导出了最优接收机前端滤波器的传递函数表达式。对光谱形状的最大可实现性能进行了评估和讨论。结果表明,与传统的无线系统不同,该系统的最优滤波器需要根据接收到的信号和噪声水平进行动态调整。提出了一种方便但次优的滤波器选择,并将可实现的性能与最优滤波器和性能上界进行了比较。对于特定的光谱形状,次优滤波器被证明是一个整体上很好的折衷方案。为了满足性能上限,使用次优滤波器和由1阶巴特沃斯滤波器形成的噪声载波的系统面临1.89 dB的功率惩罚。
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