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Phase approximation by logarithmic sampling of gain
所属领域: 先导专项—精密测量领域监测服务
资源类型: 时频前沿探索 / 远距离时频传递
文献作者: Rusu, C; Kuosmanen, P
文献发表年份: 2003
文献期刊: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING
文献摘要:The plotting of the frequency transfer function has been simplified for decades by using,logarithmic plots. One advantage of logarithmic plots is that the mathematical operations of multiplication and division are transformed to addition and subtraction. With this method the work of obtaining the phase of transfer function is largely graphical instead analytical. On the other hand, we need the factors of the transfer function. In case we have only gain samples this might be a sensitive issue. The difficulty increases if there is available only a part of the samples. Moreover, the distance between samples might be not very small and this is the most encountered case in practical situations. The goal of this paper is to address this special situation. Therefore we establish methods for approximating the phase values from the gain samples, in nepers, equally spaced in the logarithmic frequency domain. First a general approximation formula is proved, then two quadrature formulae are derived using Newton-Cotes and Simpson rules. Numerical examples are also presented.
文献类型: Article; Proceedings Paper
文献语种: English
关键词: RETRIEVAL
文献作者地址: Tampere Univ Technol, Inst Signal Proc, FIN-33101 Tampere, Finland; Tech Univ Cluj Napoca, Dept Elect & Telecommun, RO-3400 Cluj Napoca, Romania; Elisa Commun Corp, Res Ctr, FIN-33101 Tampere, Finland

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