The optimization method of working flare and display backlight spectral power distribution
Technical field
The invention belongs to spectral power distribution design field, and in particular to a kind of working flare and display backlight light source spectrum
The optimization method of distribution.
Background technology
In recent years, with urban development, conventional fossil energy day is becoming tight, and the traditional energy source prices such as oil, coal are constantly climbed
Rise, special international oil price more reaches a history high position, the situation for causing energy supply is further severe.The Sustainable Exploitation of the energy and
Using increasingly being paid attention to by the mankind.Illumination is one of major domain that the mankind consume the energy, how real in lighting field
Existing sustainable use of the energy-conservation to the energy has extremely important meaning.In order to alleviate increasing energy crisis, in the world
Propose " green illumination concept " in early 1990s, China also came into effect popularization " green illumination work in 1996
Journey ".Realize that the important step of this plan seeks to develop and promote efficient, energy-saving illumination utensil.Save lighting electricity consumption, reduces
Environment and light pollution, set up high-quality and efficient, economic comfortable, safe and reliable, useful environment a illuminator.Green illumination sets
The content of meter is:Lighting energy saving, lighting and energy saving, contamination preventing, safety and comfort illumination and management energy-conservation.Its specific measure bag
Include:(1) rational lighting standard is determined;(2) improve and shine by high efficiency light source, the selection of light fixture and reliable annex and rational deployment
Obvious results rate;(3) natural lighting and illumination intelligent management is made full use of to reduce power consumption;(4) pollution is prevented, facility maintenance is improved
Rate.Typically, what light source selection considered first is the light efficiency of light source.Specular removal means under the premise of the output of equal light
Power consumption is few, has great significance in energy saving, in terms of reducing power cost.
The light source of specular removal is same significant for display.General liquid crystal display (LCD) under normal circumstances
The power consumption of backlight accounts for the overwhelming majority of whole liquid crystal module power consumption, therefore the reduction of backlight power consumption to whole liquid crystal module work(
The reduction of consumption is most important.Adopt the higher LCD of light efficiency under the conditions of equal battery capacity by lifting means on portable equipment
Endurance.But it is otherwise varied with illuminating, for display, while lifting light efficiency display must be simultaneously taken into account
Gamut range, the otherwise image quality of display can equally be unfavorable for showing because the decline of color saturation be affected
Final quality-improving.
Existing scheme adjusts the methods such as the spectrum peak and half band-width of light source and light efficiency is optimized by small range, by
Be related at least three kinds primary colours in display device, by it is single change white light method not suitable displays backlight adjustment.
The content of the invention
In view of this, in order to solve, low the brought energy ezpenditure of working flare luminous efficiency of source is big and power cost is high asks
Topic, the invention provides a kind of spectral power distribution optimization method of working flare, reaches the effect for improving luminous efficiency of source.
In order to solve the above problems, the optimization method of the working flare spectral power distribution that the present invention is provided, including step:
Chromaticity coordinates (x under corresponding 1931CIE-XYZ meter colour system systems is calculated according to the colour temperature of working flareo,yo);
Constraints is fixed as with working flare chromaticity coordinates and the working flare light efficiency η is object function, construction etc. to the maximum
The nonlinear programming problem of valency;
The nonlinear programming problem is solved, and the value resulting to solution is normalized and obtains spectral power point
The optimal solution of cloth.
In order to consider actual restrictive condition, such as the Energy distribution of each wavelength is nonnegative number and working flare chromaticity coordinates
With spectral tristimulus valueBetween relation, the concrete step of construction nonlinear programming problem of equal value
Suddenly it is:
Using standard observer's spectral tristimulus valueShow that 1931CIE-XYZ meter colour system systems are lower to shine
The integral expression of phaneroplasm light efficiency η;
Integral operation in the integral expression of the working flare light efficiency η is converted to through equal interval sampling and discretization tired
Plus computing obtains the discrete expression of working flare light efficiency η;
The nonlinear programming problem of construction is as follows:
Object function:
Constraints:
Φ (λ) >=0, (380nm≤λ≤780nm)
Wherein,K is 683lm/W, and λ is wavelength, and Φ (λ) is after working flare normalization
Relative spectral power distribution.
In order to improve optimization performance, increase the number of times of iterative calculation, the sampling interval chooses less integer, and the present invention is medium
The sampling interval of interval sampling is 1nm.
The step of solving the nonlinear programming problem be:
If it is known that original working flare spatial distribution then brings the spatial distribution into calculating as initial value, through iterative calculation
Draw optimal solution;
If it is not known that original working flare spatial distribution, then choose the spatial distribution of the approximate working flare of chromaticity coordinates as first
Value brings the spatial distribution being calculated after the first suboptimization into, then using the spatial distribution after optimizing as initial value according to for the first time
Optimization Steps bring the optimal solution for being calculated the second suboptimization into.
In order to solve the energy consumption problem of display backlight light source, present invention also offers a kind of display backlight spectral power
The optimization method of distribution, reaches in the effect for not affecting display image quality and energy-conservation.
The optimization method of the display backlight spectral power distribution that the present invention is provided, including step:
The reference color coordinate of display each primary colours and the reference color coordinate of white field are determined according to gamut standards;
With the reference color coordinate (x of a certain primary coloursp,yp) it is fixed as constraints and the primary colours light efficiency is target to the maximum
Function, constructs nonlinear programming problem of equal value, solves the nonlinear programming problem, and returns to solving resulting value
One change processes the light efficiency optimum spatial distribution for obtaining a certain primary colours, all primary colours is processed obtain respectively in the method
To the light efficiency optimum spatial distribution of each primary colours;
The spectrum relative intensity of each primary colours is calculated by constructing linear programming problem, and calculates each primary intensities and increased
Beneficial coefficient np;
According to each primary intensities gain coefficient npBy the optimization Spectral beam combining display backlight spectrum of all primary colours
Obtain backlight spectra BL (λ) of final optimization pass.
Further, concretely comprising the following steps for Non-Linear Programming is constructed:
Using standard observer's spectral tristimulus valueDraw the lower base of 1931CIE-XYZ meter colour system systems
Coloured light imitates ηpIntegral expression;
Through equal interval sampling and discretization by the primary colours light efficiency ηpIntegral expression in integral operation be converted to it is tired
Plus computing obtains primary colours light efficiency ηpDiscrete expression;
The nonlinear programming problem of construction is as follows:
Object function:
Constraints:
Φp(λ) >=0, (380nm≤λ≤780nm)
Wherein,Coefficient k is 683lm/W, Φp(λ) for pth kind it is primary normalized after
Relative spectral power distribution, (xp,yp) for pth kind primary colours reference color coordinate.
In order to the linear programming problem that the spectrum relative intensity for calculating each primary colours is constructed it is as follows:
Object function:
Constraints:
np>=0, (0≤p≤m)
In formula,
YwFor the bright number of white field flow, m for display primary colours kind number, npFor pth kind primary intensities gain coefficient, YpFor pth kind
Maximum lumen number when primary colours individually light,For Spectral matching function, λ is wavelength, (xw,yw) be white field chromaticity coordinates, Φpl
(λ) it is the optimization spatial distribution of pth kind primary colours, (xp,yp) for pth kind primary colours reference color coordinate.
In view of the image-forming principle that liquid crystal display passively lights, display backlight needs to select color through colour filter, therefore certain
Backlight spectra value final at wavelength is that all primary colours optimization spectrum maximum in this place can just meet requirement, less than maximum
The situation of value can be adjusted by the change of different colour filter spectral transmittances and obtained, therefore backlight spectra BL of final optimization pass
(λ) formula is as follows:
Compared with prior art, the present invention includes advantages below:
The spectral power distribution optimization method of the working flare that the present invention is provided, is processed by sample variance and is caused Accumulating operation is converted to by integral operation, is that the foundation of nonlinear programming problem and computer disposal are carried
Condition is supplied, while the sampling interval elects 1nm as so that the value infinite approach of cumulative income value and continuous integral, be to calculate gained
As a result infinite approach theoretially optimum value provides condition, meanwhile, computer carries out two suboptimums in the case of without initial value
Change, also achieve convergence of the acquired results to theoretially optimum value.
The optimization method of the display backlight spectral power distribution that the present invention is provided, is taking into full account working flare spectral power
On the basis of the optimization of distribution, the limit structure line of backlight principle, primary colours gamut range and white field chromaticity coordinates with reference to display
Property planning problem, realize optimizing the spectral power distribution of display backlight.
Description of the drawings
Fig. 1 is the optimization method flow chart of the working flare spectral power distribution provided in embodiment 1;
Fig. 2 is working flare spectrum optimization comparison diagram in embodiment 1;
Fig. 3 is ligulate figure limit light efficiency contour map in embodiment 1;
Fig. 4 is the optimization method flow chart of the display backlight spectral power distribution provided in embodiment 2;
Fig. 5 is NTSC standard RGB primary colours optimization spatial distribution in embodiment 2;
Fig. 6 is NTSC standard display optimization backlight spectra in embodiment 2.
Specific embodiment
The present invention is further described with reference to embodiment.
Embodiment 1 will be described in detail to the optimization method of the spectral power distribution of working flare.
As shown in figure 1, the optimization method of spectral power distribution is comprised the following steps that:
1. chromaticity coordinates (the x under corresponding 1931CIE-XYZ meter colour system systems is calculated according to the colour temperature of working flareo,yo)。
2. combined standard observer spectral tristimulus valueThe lower color of 1931CIE-XYZ meter colour system systems is sat
The computing formula of mark (x, y) is as follows:
X, Y, Z are respectively the tristimulus values of the working flare correspondence coloured light in formula (1), and Φ (λ) is after working flare normalization
Relative spectral power distribution.The light efficiency η computing formula of working flare are as follows:
Coefficient k is 683lm/W in formula (2).
3. discretization function.Due toStatistics is, it is right therewith without generally acknowledged analytic expression
Should, so chromaticity coordinates is calculated into involved function distribution all integral operation is changed by wavelength equal interval sampling and discretization
For accumulating operation, the computing formula of chromaticity coordinates is as follows after discretization:
The light efficiency η computing formula of working flare are changed into:
So that the sampling interval is as 1nm as an example, all (380nm in visible-range of the function by Wavelength distribution after discretization
~780nm) include 401 elements.
4. equivalent constructions nonlinear programming problem.According to the discrete function in step 3, it is for about so that working flare chromaticity coordinates is constant
Beam condition, light valid value is object function to the maximum, constructs nonlinear programming problem of equal value.Specific constraints is comprising two
The system of linear equations of equation, it is as follows:
Object function is formula (4) and requires that the transition formula evaluation is maximum.There is physics meaning additionally, due to function expression to be solved
The value of each wavelength is Energy distribution intensity in justice, i.e. Φ (λ), therefore value non-negative, Φ (λ) >=0, (380nm≤λ≤780nm).Most
Eventually the linear programming problem includes 401 unknown numbers, 2 equality constraints, 401 inequality constraints conditions.
5. solve above-mentioned nonlinear programming problem using the mathematical tool such as Matlab, the solution for obtaining through normalized i.e.
For optimization working flare relative spectral power distributions, the spatial distribution ensure Original Photo light colour temperature it is constant on the premise of improve light
Effect.Need to bring the initial value of working flare backlight into during Non-Linear Programming is solved, if it is known that original working flare spectrum point
Cloth function, then bring calculating in this, as initial value, if do not known original working flare spectral distribution function, can choose chromaticity coordinates near
As the spectrum of working flare bring calculating into, but now the value after a suboptimization may and non-optimal, can be by the light after a suboptimization
Spectral structure is calculated as secondary the bringing in mathematical tool of initial value.Iteration twice after result will restrain to optimal result.Fig. 2 is certain
The optimum results of working flare spatial distribution, before being not optimised, the theoretical light efficiency of working flare original spectrum distribution is 237.6lm/
W, the theoretical light efficiency after optimization is promoted to 321.8lm/W.
So far, can realize that 1931CIE-XYZ counts non-edge in the lower colour gamut ligulate figure of colour system system by above-mentioned Optimization Steps
Optimization spatial distribution corresponding to coloured light representated by any point, as shown in figure 3, can the whole ligulate graph colorings of optimization range covering
Domain, be for display primary colours and backlight spectrum optimization provide the foundation.
Because some light sources must take into account gamut range, such as display backlight source while light efficiency is lifted, so, implement
Example 2 is described in detail on the basis of embodiment 1 by taking display backlight source as an example to the optimization method of spectral power distribution.
As shown in figure 4, display backlight source spectral power distribution optimization method is comprised the following steps that:
1. the primary colours gamut range of display is determined.For traditional three primary display, general gamut standards meeting
Three primary colours of red, green, blue and white field totally four groups of chromaticity coordinates, such as NTSC standard (National Television are provided
Standards Committee, Unite States Standard television broadcast transmissions and receive agreement) in red, green, blue, white chromaticity coordinates regulation
Respectively (xr,yr)=(0.67,0.33), (xg,yg)=(0.21,0.71), (xb,yb)=(0.14,0.08), (xw,yw)=
(0.31,0.316)。
2., according to primary colours reference color coordinate is specified in step 1, each base can be respectively obtained using the step in embodiment 1
The light efficiency optimum spatial distribution of color, comprises the following steps that:
Constraints is fixed as with the reference color coordinate of a certain primary colours and the primary colours light efficiency is object function, structure to the maximum
The nonlinear programming problem of equivalence is made, the nonlinear programming problem is solved, and place is normalized to solving resulting value
Reason obtains the light efficiency optimum spatial distribution of a certain primary colours, carries out process to all primary colours in the method and respectively obtains each
The light efficiency optimum spatial distribution of primary colours.
Illustrate the concrete steps of the light efficiency Optimal Distribution for calculating a certain primary colours, the pth by taking pth kind primary colours as an example below
Kind primary colours can be certain primary colours of any one in NTSC standard in red, green, blue or other standards, comprise the following steps that:
The lower primary colours of 1931CIE-XYZ meter colour system systems are drawn using standard observer spectral tristimulus value x (λ), y (λ), z (λ)
Light efficiency ηpIntegral expression;
Through equal interval sampling and discretization by primary colours light efficiency ηpIntegral expression in integral operation be converted to cumulative fortune
Calculation obtains primary colours light efficiency ηpDiscrete expression;
Nonlinear programming problem, object function are constructed using above-mentioned expression formula:
Constraints:
Φp(λ) >=0, (380nm≤λ≤780nm)
Wherein,Coefficient k is 683lm/W, Φp(λ) for pth kind it is primary normalized after
Relative spectral power distribution, (xp,yp) for pth kind primary colours reference color coordinate.
Above-mentioned nonlinear programming problem is solved using mathematical tools such as Matlab, the solution for obtaining is through normalized
Relative spectral power distributions after the optimization of pth kind primary colours.By taking NTSC standard as an example, optimization spatial distribution is as shown in figure 5, after optimization
The theoretical light valid value of R, G, B three primary colours is respectively 330.8lm/W, 612.9lm/W, 101.9lm/W.
3. the relative intensity of each primary colours spectrum is calculated.Because the chromaticity coordinates of gamut standards dialogue field also has regulation, this will
The white that display synthesizes when primary colours reach most strong is asked to be exactly equal to the white field chromaticity coordinates of standard regulation, while and needing
Cause total brightness during white field maximum using the light intensity of each primary colours as far as possible.If there is m kind primary colours, Mei Zhongji in display
The spectral intensity gain coefficient of color is respectively n1, n2…np…nm.It is then (x to ensure white field chromaticity coordinatesw,yw), under should meeting
Establish an equation group:
np>=0, (0≤p≤m)
Y in formula (6)pMaximum lumen number when individually lighting for pth kind primary colours,
Φpl(λ) it is the optimization spatial distribution of pth kind primary colours, (xp,yp) for pth kind primary colours reference color coordinate.White field
Brightness requirement is maximum, the bright several Y of as white field flowwTake maximum, such as following formula:
With formula (6) as constraints, formula (7) is for object function and requires that formula (7) takes maximum, can construct one linearly
Planning problem.Each gain coefficient non-negative, i.e. np>=0, (0≤p≤m).The final linear programming problem includes m unknown number,
The constraints of two equatioies and m inequality constraints condition.Each base can be obtained using the mathematical tool such as Matlab condition of bringing into
Intensity of colour gain coefficient np。
4. display backlight synthesis.After obtaining each primary colours spectral intensity gain coefficient in step 3, will in coefficient ratio
The optimization Spectral beam combining display backlight spectrum of all primary colours.Due to the image-forming principle that liquid crystal display passively lights, display
Backlight needs to select color through colour filter, thus backlight spectra value final at certain wavelength be all primary colours optimization spectrum in this place most
Big value can just meet requirement.Can adjust by the change of different colour filter spectral transmittances less than the situation of maximum
Arrive, i.e. backlight spectra BL (λ) formula of final optimization pass is as follows:
The red-green-blue gain of NTSC standard emphasizes that ratio is nr:ng:nb=0.8875:0.5742:1.Final synthesis
The distribution of optimization backlight spectra such as Fig. 6, the theoretical light efficiency of the optimization backlight spectra reaches 335.5lm/W, than at present by common glimmering
Light powder excites the backlight of generation to improve 70%, and than quantum dot backlight light efficiency 57% is improve.
The preferred embodiment of the present invention described in detail above, but, the present invention is not limited in above-mentioned embodiment
Detail, the present invention range of the technology design in, various equivalents can be carried out to technical scheme, this
A little equivalents belong to protection scope of the present invention.