Kotelnikov double series of modulating signals with limited spectrum

The article shows that the quality parameters for monitoring pulse-modulated signals is advisable instead one variable Kotelnikov series use two variables Kotelnikov series, which allows to analyze the influence of the carrier and modulating functions on modulated signal separately. On the basis of the double Fourier series expression is derived two variables Kotelnikov series and Kotelnikov theorem, as well as the Nyquist theorem, is proved for the modulated signals with a limited spectrum. The basic advantages of using two variables Kotelnikov series for signal processing and generation of control sequences based are descrybing.