Precise measurement of complicated frequency signals

Based on the border effect and relevant theories, it is found that measurement precision depends on resolution stability which is much higher than resolution itself. With the help of this new theory and the more sensitive discrimination of the border of a fuzzy area, it is possible to greatly improve the measurement precision. Since there are a lot of complicated frequency signals in quantum frequency standards, telecommunication, fundamental subjects and other fields, precise measurement is significantly important. In a great deal of measurement of complicated frequency signals, discrete fuzzy areas are common. In this paper, we put forward a feasible and high-precision frequency measurement scheme to make it easier to capture border information, which shows great advantages of border effect.