Interpolation method and a circuit for carrying out said method used in a high-resolution encoder

I,mI,m Intermediate digital signals Fi(α), Gi(α), i=1, . . . I, are generated, which result from a comparison of reference potentials of the first input analogue signal at a shifted value of its observed argument and with a suitably reduced amplitude to the potential, which is inverse to said potential, of the third input analogue signal at the same shifted value of the observed argument and with the amplitude reduced in said way, the shifted argument values being uniformly distributed within the first half-period. A value U of the voltage is measured at any value of the observed argument as at that time the highest one of the voltages at terminals with said reference potentials. An actual peak amplitude A of the input analogue signals is determined as A=kU where the factor kis a quotient of the peak amplitude of said input analogue signals and of the mean value of the voltage waveform envelope of the reference potentials pertaining to said peak amplitude.When the proposed method is used to automatically control the gain, said voltage U is conducted directly to the input of an automatic gain control circuit, whereat the input voltage of this circuit is set to the mean value of the voltage waveform envelope of the reference potentials.