The greatest common factor frequency and its application in the accurate measurement of periodic signals

The concept of the greatest common factor frequency and its characteristics have special functions in the high accuracy measurement of periodic signals. With the greatest common factor frequency many important characteristics between periodic signals can be recognized. According to these characteristics, the frequency and time measurement instruments designed by a new technique show an improvement in accuracy of more than 1000 times over that of ordinary instruments. The instruments can be used on a very wide frequency range. The basic characteristics of the greatest common factor frequency are analyzed. Some new techniques based on the greatest common factor frequency can be used instead of many frequency and time measuring techniques and instruments. It is believed that these new techniques and instruments will play a major role in future measurement and comparison of periodic signals