SU1739490A1 - Generator of poisson flux of pulses - Google Patents

Abstract

Used in a pulse technique to generate a stream of pulses with Poisson and gamma distributions. The Poisson pulse flow generator contains a random number sensor 1, a digital-to-analog converter 2, a comparison unit 3, a chopper 4, a pulse shaper 5, an exponential voltage generator 6, a delay element 7, a linear voltage generator 8, 1 analog-to-digital converter 9, shift register 10, adder 11, register 12. 1 Il.

Description

The invention relates to a pulse technique and can be used to form a Poisson stream of pulses simultaneously with a sequence of random numbers with 5 gamma distribution.

The purpose of the invention is the expansion of functionality by increasing the number of generated random variables.

The drawing shows an electrical block diagram of a Poisson pulse flow generator.

The generator of the Poisson rod of pulses contains a random number sensor 1, 15 digital-to-analog converter 2, a comparison unit 3, a chopper 4. a pulse shaper 5 and an exponential voltage generator 6, a delay element 7 connected in series, a linear voltage generator 8, and an analog-digital a converter 9, a shift register 10, an adder 11 and a register 12. The synchronization input of which is connected to the output of the delay element 7. The output of the generator 25 for 5 pulses is connected to the input of the random number sensor 1 and to the second input of the shift register 10. The output of the exponential voltage generator 6 is connected to the second input of the comparison unit 3. thirty

The Poisson pulse flow generator operates as follows.

When a start pulse is applied to the output circuit of the pulse shaper 5, the random number sensor 1 changes its state and the exponential voltage generator 6 is generated, which generates an exponential voltage, which is compared in block 3 of comparison with the analogue equivalent of the output signal of the random number sensor 1. At the moment of equality of these signals, an impulse is formed at the output of the pulse shaper 5, which leads to a repetition of the described processes. The pulse stream thus formed is Poisson, i.e. it corresponds to the exponential distribution of intervals between pulses.

For each pulse, after a delay for the duration of the transient processes in the shift register 10 and the register 12 in the delay element 7, the linear voltage generator 8 is restarted, which generates a linearly increasing voltage. The magnitude of this voltage is converted by an analog-to-digital converter 9 into digital form and recorded with a shift for each pulse of the pulse shaper 5 into a shift register 10, calculated for η samples. Thus, at each current time in the steady state, the shift register 10 contains η independent samples corresponding to possible values of random numbers with an exponential distribution χϊ, the parameter λ of which is determined by the parameter of the generator 6 of the exponential voltage.

The result of summing η numbers in the adder 11 for each pulse of the pulse shaper 5 is recorded in the register 12.

Since the sum of η possible values of random variables with an exponential distribution having the parameter λ obeys a gamma distribution with a density, then possible values of a random number with a gamma distribution are periodically generated in register 12.

Claims (1)

Claim A Poisson pulse stream generator containing a series-connected generator of uniformly distributed random numbers, a digital-to-analog converter, a comparison unit, a chopper and a pulse shaper, the output of which is connected to the input of the generator of uniformly distributed random numbers and to the input of the exponential voltage generator, the output of which is connected to the second input of the comparison unit , characterized in that, in order to expand functionality by increasing the number of generated random x values, it is additionally introduced in series with a delay element, a voltage generator, an analog-to-digital converter, a shift register, an adder and a register, the synchronization input of which is connected to the output of the delay element, the input of which is connected to the output of the pulse shaper and to the synchronization input of the shift register.