RU2012153610A - METHOD FOR DETERMINING THE ERROR PROBABILITY FOR A BIT BY FLOW OF THE INFORMATION SIGNAL PHASE - Google Patents

Abstract

A method for determining the probability of an error per bit by parallel fluctuations in the phase of information signals, namely, that a signal is generated on the transmitting side in the modulator based on the useful information that needs to be transmitted, and after the modulator, the generated signal is transmitted through the communication channel, and after the signal passes through the communication channel they receive it on the receiving side, and the received signal is supplied to the demodulator and an estimation unit, in which an error probability per bit is estimated, characterized in that it is calculated Different phase differences are transmitted from the demodulator to the accumulation unit, in which they are accumulated, and the accumulated array is transferred to the solution unit of the equation, in which the equation is solved by the numerical method, for example, the golden ratio method, where Δφ is the phase difference between i and i + 1 ; N is the length of the array; I (D) is the zero order Bessel function; I (D) is the first-order Bessel function; D is the desired solution to the obtained equation; -assessment of the value of D, after solving which, the resulting estimate is transferred to the density recovery unit, in which the distribution density of the phase difference between the adjacent packages is restored, and the expression is used for this, which is then transferred to the integration unit, in which integration of a given density in accordance with the specified limits of integration, thus obtaining the desired estimate of the probability of error per bit.

Claims (1)

A method for determining the probability of an error per bit by parallel fluctuations in the phase of information signals, namely, that a signal is generated on the transmitting side in the modulator based on the useful information that needs to be transmitted, and after the modulator, the generated signal is transmitted through the communication channel, and after the signal passes through the communication channel they receive it on the receiving side, and the received signal is supplied to the demodulator and an estimation unit, in which an error probability per bit is estimated, characterized in that it is calculated Different phase differences are transmitted from the demodulator to the accumulation unit, in which they are accumulated, and the accumulated array is transferred to the solution unit of the equation, in which the equation is solved by a numerical method, for example, by the golden section method $${\displaystyle \sum {}_{i=\mathrm{one}}^N\cos \left(\Delta {\varphi }_i\right)th\left(D\cos \left(\Delta {\varphi }_i\right)\right)-\frac{N{I}_{\mathrm{one}}\left(D\right)}{I_0\left(D\right)}=0}$$

,  where Δφ_i - phase difference between i and i + 1 package; N is the length of the array; I₀(D) is the zero-order Bessel function; I_one(D) is the first order Bessel function; D - the desired solution to the resulting equation; $$\widehat{D}$$

 - estimate of the value of D, after the decision of which, the resulting assessment $$\widehat{D}$$

 transmit to the density recovery unit, in which the density of the distribution of the phase difference between adjacent packages is restored $${\widehat{W}}_0\left(\Delta \varphi \right)$$

, and use the expression $${\widehat{W}}_0\left(\Delta \varphi \right)=\frac{\mathrm{one}}{2\pi I_0\left(\widehat{D}\right)}{e}^{\widehat{D}\cos \left(\Delta \varphi \right)}$$

, which is then transferred to the integration unit, in which the integration of a given density is implemented in accordance with the specified integration limits, thus obtaining the desired estimate of the probability of error per bit.