Estimation of the Amplitude Quotient of Signals with Common Frequency

Abstrac t The paper presents simple single-step algorithms for fast measurement and estimation of the amplitude ratio of the sinusoidal signals with the same frequency from two channels. The idea of the systematic error reduction with the weighted amplitude DFT coefficients around the component peaks is used in the comparative measurement procedure. Paper analyses and compares the systematic bias errors and noise error behaviors of the amplitude quotient estimation changing the order of Rife-Vincent windows class I, which are designed for maximization of the window spectrum side-lobes fall-off. The minimal bias errors are shown in relation to the number of signal cycles in the measurement interval.