Optimization of the time constant value of the integrating circuit of a microwave photonic pulse amplitude detector according to the criterion of the proximity of the video pulse shape to the ideal one

The aim of the article is to find the optimal values of the time constant of the integrating circuit of the microwave photonic pulse amplitude detector according to the criterion of the minimum distance between two signals: a video pulse at the detector output and an ideal video pulse. Optima were found for three forms of radio-frequency pulses: ideal square, non-ideal square, and Gaussian ones. The reference to this topic is due to the fact that the literature does not cover the issue of calculating the time constant value of the integrating circuit of the ultra-wideband radio-photonic path operating in the detection mode. The simulation was carried out in the R2017b version Matlab environment using the Simulink block library. Optimization was carried out using the golden section method. According to the criterion considered in this article, the following optimal values of the time constant of the integrating circuit were obtained: about 1.5 periods of the carrier – for an ideal square radio-frequency pulse; about 2 carrier periods – for a non-ideal square radio-frequency pulse; about 0.3 radio-frequency pulse width – for a Gaussian one. The values of the time constant obtained according to this criterion do not correspond to the well-known formula, from which it follows that the time constant value of the detector should be much greater than the carrier period and much less than the radio-frequency pulse width.

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