A multi-receiving-point geometrical center locating system and method for visible light communication

A multi-receiving-point geometrical center locating system and method for visible light communication, characterized by comprising steps of:

• 1) arranging several LED lamps with same light transmission power as an optical signal transmitter on the ceiling indoor, configuring the terminal required for locating with several light receiving devices as a signal receiver, the several light receiving devices is arranged as a regular polygon with the geometrical center point of the terminal being its center, the location relation of the light receiving devices relative to the terminal is known:
• {
• x
• R
• i
• =
• x
• +
• r
• 
• 
• cos
• 
• (
• δ
• +
• 2
• 
• π
• N
• 
• (
• i
• -
• 1
• )
• )
• y
• R
• i
• =
• x
• +
• r
• 
• 
• sin
• 
• (
• δ
• +
• 2
• 
• π
• N
• 
• (
• i
• -
• 1
• )
• )
• 
• i
• =
• 1
• ,
• 2
• ,
• …
• 
• ,
• N
• and the sum number of the LED lamps and the light receiving devices arranged is greater than or equal to 4;
• wherein xRi, yRi (i=1, 2, . . . , N) are horizontal axis and vertical axis of the light receiving devices within a two-dimensional plane respectively, N is the number of the lighting devices;
• x,y are horizontal axis and vertical axis of the terminal geometrical center within a two-dimensional plane;
• r is the distance from the center of the polygon to each vertex;
• establishing a polar coordinate with the center of the polygon being the polar point, and setting any one of the light receiving devices as a first light receiving device with δ being a polar coordinate angle of the first light receiving device;
• 2) measuring the optical signal power received by each light receiving device to get a linear distance d from each LED lamp to each light receiving device, measuring a vertical distance h from the plane where the LED lamps are located to the plane where the light receiving devices are located, and then a horizontal distance D between each LED lamp and each light receiving device is obtained according to the principle of right triangle;
• 3) obtaining the horizontal distance D from each LED lamp to each light receiving device through the coordinate relation of the LED lamps and the light receiving devices within the two-dimensional plane, and listing all the equation of the horizontal distance D obtained by coordinate relation equaling with the horizontal distance D obtained by step 2);
• wherein the horizontal axis and the vertical axis of the LED lamps within the two-dimensional plane are xTa, yTa (a=1, 2 . . . , M) and the number of the LED lamps is M;
• establishing a linear equation with terminal coordinates according to the location relation in step 1) and all the equations of the horizontal distance D, expressing the linear equation as a matrix, and then the horizontal axis and vertical axis for the geometrical center point of the light receiving devices, i.e. the coordinate for the geometrical center point of terminal required for locating, are obtained by calculating according to classical estimation method.