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本文介绍利用离散数学理论和快速富里叶变换(FFT)技术而推导出的一种测量模拟信号振幅,频率和相位的动态数学处理方法——D·M·P 测量法。内容包括该方法的形成原理,计算公式,由计算公式形成的一种窄带通跟踪滤波器(称谱滤波)的考虑、离散信号计算误差和消除方法,多通道信号测量和修正等等。还介绍了利用该方法研制的测量仪器可达到的技术指标,以证实该方法的实用性。
In this paper, a dynamic mathematical approach to measure the amplitude, frequency and phase of an analog signal, the D · M · P measurement, is derived using discrete mathematics and Fast Fourier Transform (FFT) techniques. The method includes formation principle, calculation formula, consideration of a narrow passband tracking filter (called spectrum filtering) formed by the calculation formula, calculation error and elimination method of discrete signal, measurement and correction of multi-channel signal and so on. The technical indicators that can be achieved by the measuring instruments developed by this method are also introduced to confirm the practicability of the method.