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Discussion on new properties of staircase waveform through connection to an infinite series

机译:通过连接无穷级数讨论阶梯波形的新性质

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摘要

The staircase waveform produced by digital-to-analogue conversion is applied widely in electricity metrology, based on the known properties. However, a continuous investigation of new properties is still very important for its further applications. An infinite series is presented through analysis of the producing process of the staircase waveform. Based on the model of `digital-to-analogue converter (DAC) aliasing effect', when the parameters of the series are extended from an integral to a real number, new properties are discussed. The concepts of `asynchronous sampling', `sub-' and `inter-harmonic' and `under-Nyquist sampling' are derived into DAC. The more interesting phenomena are detailed. The results of simulations and experiments are reported.
机译:基于已知特性,通过数模转换产生的阶梯波形被广泛应用于电力计量。但是,不断研究新特性对于其进一步的应用仍然非常重要。通过分析阶梯波形的产生过程,提出了一个无限级数。基于“数模转换器(DAC)混叠效应”模型,当系列的参数从整数扩展为实数时,将讨论新的属性。 “异步采样”,“子”和“间谐波”以及“欠奈奎斯特采样”的概念被引入DAC。详细介绍了更有趣的现象。报告了模拟和实验的结果。

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