Small-scale high-precision positioning method based on improved sinc interpolation

Abstract

The invention provides an improved Sinc interpolation based small-range high-accuracy positioning method. The improved Sinc interpolation based small-range high-accuracy positioning method comprises enabling L fixed reference nodes to receive a saw tooth frequency-modulated wave v(t) signal sent out from a target node; performing amplitude equalization on the received signal, sampling a saw tooth frequency-modulated wave with the time interval T and obtaining a sample function xi(n); reconstructing the sample function and obtaining a reconstructed function y(k); sampling a sending saw tooth frequency-modulated wave v(t) with the time interval T / (M+1), obtaining a sample function u(k) and performing cross-correlation operation on the y(k) and the u(k) to obtain related peak value positions; respectively calculating the time difference of the signal arriving at the reference nodes and the first reference node according to the related peak value positions and obtaining a TDOA (Time Difference Of Arrival) measurement value; substituting the TDOA measurement value and coordinates of the reference nodes into a Chan algorithm to calculate the target node position; solving a root-mean-square error between the target node positioning calculation result and an actual position to obtain the positional accuracy RMSE. The improved Sinc interpolation based small-range high-accuracy positioning method guarantees the positioning high accuracy due to reduction of the sampling frequency.

Description

technical field [0001] The invention relates to the field of wireless communication, in particular to a small-scale high-precision positioning method based on improved Sinc interpolation. Background technique [0002] The use of the Global Positioning System (GPS) has greatly improved the wireless positioning accuracy, so that the positioning accuracy can reach the meter level, but the GPS positioning effect is not good in a small-scale environment, and the meter-level positioning accuracy is far from enough. In some application systems with relatively high precision requirements, the existing positioning system often cannot meet the user's requirements. Due to the influence of indoor environment and other conditions in complex small-scale environments such as airport halls, supermarkets, libraries, and parking lots, the current positioning technology often fails to meet the requirements in terms of accuracy. How to improve the positioning accuracy in the small-scale positi...

AI Technical Summary

Problems solved by technology

[0027] It is difficult to directly solve the nonlinear hyperbolic equation for the above positioning technology in practical applications, and to use TDOA technology to locate the target node to obtain an accuracy of less than 10 cm requires the sampling frequency of the receiving end to reach 10 GHz, which is difficult to achieve in practical applications

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