Simulation method for random signal sequence

Abstract

The invention discloses a simulation method for a random signal sequence. The method can simulate photon fluctuation information and arbitrary random process signal, and can rapidly realize long-term high precision simulation of photon arrival time. The method includes: step 1. making use of the photon flow function of a to-be-simulated signal to deduce a photon number distribution function; step 2. according to the characteristic that the photon number distribution function satisfies uniform distribution, making use of the uniformly distributed function to generate a random number, thereby obtaining a random number of the photon number; step 3. utilizing the random distribution satisfied by the photon number fluctuation, taking a random variable satisfying the random distribution within an observation period to serve as the number of times Nf that the photon is detected within an observation period; step 4. repeating the step 2 Nf times, thus obtaining Nf random numbers of the photon number; and step 5. utilizing the inverse function of the photon number distribution function to perform inverse function conversion on the Nf random numbers, thus obtaining Nf random numbers of the photon arrival time, and conducting sorting by sized, thus obtaining a random sequence of the photon arrival time.

Description

technical field [0001] The invention belongs to signal simulation generation technology, and relates to a simulation method of random signal sequence such as pulsar X-ray photon arrival time. Background technique [0002] X-ray pulsar navigation uses the X-ray signal radiated by pulsar as the external information reference. After corresponding signal and data processing, high-precision orbit determination, time synchronization and attitude measurement are carried out, and navigation messages and control commands are independently generated to maintain the basic constellation. configuration. [0003] Because the earth's atmosphere has a strong absorption effect on X-rays, the X-ray signals radiated by pulsars cannot be received on the ground; therefore, when performing pulsar navigation test verification on the ground, the X-ray signals radiated by pulsars must be simulated to meet Requirements for ground test verification of key technologies of the pulsar navigation system....

AI Technical Summary

Problems solved by technology

This scheme is simple and easy to implement, but it has the following three shortcomings: one is the lack of photon arrival time fluctuation information, and it cannot truly simulate the X-ray signal radiated by the pulsar; the other is the limited simulation of non-homogeneous Poisson process pulsars The signal cannot simulate the pulsar signal of any random process; the third is that it takes a long time to generate photon arrival time data, and it is impossible to generate long-term pulsar photon arrival time simulation data in a short period of time, so as to verify the long-term pulsar autonomy by simulation. navigation performance

At the same time, the existing pulsar radiation signal simulation, "a ground simulation method and device for X-ray pulsar navigation" CN201010140837.8), "multi-periodic ray signal generation system" (CN200910043352.4 and "a Arbitrary waveform X-ray generating device and method” (CN201210087972.X), both lack long-term high-precision simulation of photon arrival time

Images