Filter parameter optimization method based on visible light communication
A technology of visible light communication and optimization method is applied in the field of optimization of filter parameters in polychromatic light communication system to achieve the effect of reducing cross-interference
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Embodiment 1
[0081] Embodiment 1: pass band characteristic is the optical filter of rectangle
[0082] (1) The expression for fitting the four-color light source with a Gaussian function is as follows:
[0083] S r (λ)=a 1 exp[-(λ-λ 1 ) 2 / σ 1 2 ]
[0084] S a (λ)=a 2 exp[-(λ-λ 2 ) 2 / σ 2 2 ]
[0085] S g (λ)=a 3 exp[-(λ-λ 3 ) 2 / σ 3 2 ]
[0086] S b (λ)=a 4 exp[-(λ-λ 4 ) 2 / σ 4 2 ]
[0087] The result obtained with the matlab fitting tool is:
[0088] S r(λ)=23.86exp[-(λ-630.5) 2 / 11.6 2 ]
[0089] S a (λ)=7.177exp[-(λ-599) 2 / 11.6 2 ]
[0090] S g (λ)=4.734exp[-(λ-523.7) 2 / 27.38 2 ]
[0091] S b (λ)=28exp[-(λ-453.3) 2 / 14.3 2 ]
[0092] (2) The spectral function of the background light (here it is assumed that the spectral amplitude of the background light is uniform):
[0093] Take S respectively back (λ)=P=0 and S back (λ)=P=0.5mW / nm
[0094] Total noise power at the receiving end (including shot noise, thermal noise, etc.): N t =10mW
...
Embodiment 2
[0118] Embodiment 2: the passband characteristic is the optical filter of Gauss
[0119] (1) The expression for fitting the four-color light source with a Gaussian function is as follows:
[0120] S r (λ)=a 1 exp[-(λ-λ 1 ) 2 / σ 1 2 ]
[0121] S a (λ)=a 2 exp[-(λ-λ 2 ) 2 / σ 2 2 ]
[0122] S g (λ)=a 3 exp[-(λ-λ 3 ) 2 / σ 3 2 ]
[0123] S b (λ)=a 4 exp[-(λ-λ 4 ) 2 / σ 4 2 ]
[0124] The result obtained with the matlab fitting tool is:
[0125] S r (λ)=23.86exp[-(λ-630.5) 2 / 11.6 2 ]
[0126] S a (λ)=7.177exp[-(λ-599) 2 / 11.6 2 ]
[0127] S g (λ)=4.734exp[-(λ-523.7) 2 / 27.38 2 ]
[0128] S b (λ)=28exp[-(λ-453.3) 2 / 14.3 2 ]
[0129] (2) The spectral function of the background light (here it is assumed that the spectral amplitude of the background light is uniform):
[0130] Take S respectively back (λ)=P=0 and S back (λ)=P=0.5mW / nm
[0131] Total noise power at the receiving end (including shot noise, thermal noise, etc.): N t =10mW
...
Embodiment 3
[0160] Example 3: Filters whose passband characteristics are Lorentzian
[0161] (1) The expression of the four-color light source fitted by the Lorentz function is as follows:
[0162] (For the convenience of derivation and calculation, the light source spectrum is fitted with the Lorentz function here, which is acceptable within the allowable range of error.)
[0163] S r (λ)=a 1 / (1+(λ-λ 1 ) 2 / σ 1 2 )
[0164] S a (λ)=a 2 / (1+(λ-λ 2 ) 2 / σ 2 2 )
[0165] S g (λ)=a 3 / (1+(λ-λ 3 ) 2 / σ 3 2 )
[0166] S b (λ)=a 4 / (1+(λ-λ 4 ) 2 / σ 4 2 )
[0167] The result obtained with the matlab fitting tool is:
[0168] S r (λ)=26.56 / (1+(λ-630.9) 2 / 7.507 2 )
[0169] S a (λ)=8.033 / (1+(λ-599.2) 2 / 7.135 2 )
[0170] S g (λ)=5.214 / (1+(λ-523.1) 2 / 17.82 2 )
[0171] S b (λ)=31.36 / (1+(λ-453.1) 2 / 9.132 2 )
[0172] (2) The spectral function of the background light (here it is assumed that the spectral amplitude of the background light is uniform): ...
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