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Reconstructed signal waveform errors

机译:重构信号波形错误

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摘要

Any measurement involves errors. Sampling theory asserts that a bounded-spectrum signal can be recovered without error from a series of instantaneous values measured with a step half the period of the highest frequency in that spectrum. This applies if the instantaneous values are measured exactly, but that requirement cannot be met. The paper evaluates the effects of measurement errors on the energy of the random component in the reconstructed form of a pulse signal. The error distribution over the orthogonality interval of the sinc functions is given, with those functions used in the reconstruction, and an evaluation is given for that part of the error that is distributed in a signal existence subinterval. Data are given from a numerical experiment.
机译:任何测量都涉及误差。采样理论断言,可以从以一系列频谱中最高频率周期的一半为步长测量的一系列瞬时值中恢复有界信号。如果精确测量了瞬时值,但该要求不能满足,则适用此要求。本文以脉冲信号的重构形式评估了测量误差对随机分量能量的影响。给出了sinc函数正交间隔上的误差分布,并在重建中使用了这些函数,并给出了在信号存在子间隔中分布的那部分误差的评估。数据来自数值实验。

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