Performance analysis of the time-delay phase-shifter in additive Gaussian noise: a statistical comparison with Hilbert transformer

Z. M. Hussain
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引用次数: 3

Abstract

It is shown that, in the presence of additive Gaussian noise, the performance of the time-delay phase-shifter, which produces a signal-dependent phase shift, is comparable to the performance of a Hilbert transformer which produces a signal-independent 90-degree phase shift, especially for high signal-to-noise ratios (SNR) and the proper choice of the delay. As SNR increases, the expected value of the time-delay phase estimator approaches the true value of the phase and its variance substantially decreases and converges to the Cramer-Rao bound for all ranges of the effective parameters.
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加性高斯噪声下延时移相器的性能分析:与希尔伯特变压器的统计比较
结果表明,在加性高斯噪声存在的情况下,延时移相器产生与信号无关的相移,其性能与希尔伯特变压器产生与信号无关的90度相移的性能相当,特别是在高信噪比(SNR)和适当选择延迟时。随着信噪比的增大,时滞相位估计器的期望值逐渐接近于相位的真值,其方差显著减小,并在所有有效参数范围内收敛于Cramer-Rao界。
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