Abstract

The change of channel is caused by Doppler effect, and the degree of change is related to relative velocity in the condition of the certain carrier frequency. The multipath fading channel is independent of each other, whose amplitude obeys Rayleigh distribution and the phase obeys uniform distribution. The model of multipath time-varying transmission channel is built. Through the pro-cess of channel model building, the simulation results produced by the channel model verify the effect of the proposed model in the aspect of reducing test data. In a communication system, signal passing through the channel is involved with the process of digital modulation and demodulation. Binary sequence signal is modulated into a complex sequence in the process of modulation before the transmission in the channel, in order to accommodate the wireless channel transmission. With the increase of SNR, BER is overall slightly drops. However there exists violent fluctuation and it presents the random variation of details in the multipath channel. I employ the mathematical model of multipath time-varying channel, i.e. Jakes model to be simulated so as to compare with the AGWN channel in the same situation. Jakes model has the characteristics of the reference chan-nel compared with the AGWN. BER does not change with the increase of SNR significantly and coincides with multipath time-varying channel. The BER considerably decreases with the increase of SNR in the AGWN channel.

Highlights

  • In a communication system, the multipath reflection and attenuated change will cause random fluctuations of the signal when the signal is transmitted in a wireless channel

  • The Simulation Results Are Solved by the Simulation Model of Time-Varying Channel to Verify the Method of the Fourier Model Tree

  • The complexity of the problem is simplified by establishing the simulation model of multipath fading channel

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Summary

Introduction

The multipath reflection and attenuated change will cause random fluctuations of the signal when the signal is transmitted in a wireless channel. The fittings of Fourier model tree are verified at the velocities of 90 km/h, 270 km/h, 450 km/h. An analysis of how the change of velocity causes the change of fitting accuracy is made. The method of Fourier model tree is introduced in detail in that paper. With the increase of the experimental data, the method of employing the Fourier model tree to solve channel model at different rates can simulate data into graphs better for comparison. According to the channel parameters in the attachment file, multipath time-varying channel is simulated. The simulation results are fitted by the method of the Fourier model tree to check up the accuracy of the model tree. I make abstract mathematical model for multipath time-varying channel to compare with the AGWN channel. I make a comparative analysis between the EBR of AGWN channel and the increase of the SNR [1]

Doppler Frequency Shift
The Multipath Effect
The Simulation Model of Multipath Time-Varying Channel
The Main Orthogonal Amplitude Modulation QAM
The Simulation Model of the Multipath Fading Channel
Conclusions
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