Optical analyzer for improving resolution of a time-varying spectrum and method therefor
An analyzing method and system includes projecting light onto a specimen, detecting an optical spectrum from the specimen, dividing the detected optical spectrum by a predetermined time interval, applying a weighting vector and a gain and offset vector to the divided spectra to generate a resolution vector, quantizing an analog signal of the resolution vector to a digital signal, and applying a synthesis vector to the quantized spectra to restore the quantized spectra to a size of the optical spectrum. A spectrum having a large amplitude difference is temporally divided and is analyzed by applying different resolutions to individual time intervals. Spectral portions of the spectrum having relatively small peak amplitudes are selected as a region of interest (ROI) to be modified.
1. A method of analyzing a spectroscopic component, the method comprising:
projecting light onto a specimen;
detecting an optical spectrum from the specimen;
temporally dividing the detected spectrum to form a plurality of spectra;
applying a weighting vector and a gain and offset vector to each of the plurality of spectra to generate a resolution vector;
quantizing the resolution vector to obtain a digital signal;
applying a synthesis vector to the quantized spectra to restore each quantized spectrum to an original form of a corresponding original spectrum; and
outputting a spectrum having the original form and enhanced resolution.
2. The method as claimed in claim 1 , wherein the weighting vector selects a spectral ROI (region of interest) to increase resolution in a corresponding spectrum of the plurality of spectra obtained by dividing.
3. The method as claimed in claim 2 , wherein the gain and offset vector amplifies the corresponding spectrum of the ROI to adjust a peak amplitude of the corresponding spectrum into a dynamic active region.
4. The method as claimed in claim 1 , wherein the resolution vector is expressed by r(n)=F[R,ν(n)]=H·ν(n)+G, in which the gain and offset vector R is expressed by
R
=
[
H
0
G
0
H
1
G
1
⋮
⋮
H
k
G
k
]
,
where H is the gain and G is the offset.
5. The method as claimed in claim 1 , wherein the synthesis vector S is expressed by
S
=
[
1
H
0
-
G
0
H
0
1
H
1
-
G
1
H
1
1
H
2
-
G
2
H
2
⋮
⋮
1
H
k
-
G
k
H
k
]
,
where H is the gain and G is the offset.
6. The method as claimed in claim 1 , wherein the weighting vector is expressed by
W
=
[
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
]
.
7. A method for analyzing a spectroscopic component, the method comprising:
projecting light onto a specimen;
detecting an optical spectrum from the specimen;
temporally dividing the detected spectrum into a plurality of spectra;
generating a weighting vector representing a region of interest (ROI) from the divided spectra;
generating a gain and offset vector for amplifying an original form of each spectrum of the ROI;
generating a synthesis vector for restoring the divided spectra to the original form thereof;
multiplying the weighting vector by the optical spectrum to generate an ROI vector;
multiplying the gain and offset vector by the ROI vector to generate a resolution vector;
multiplying the resolution vector by the synthesis vector to generate a restoring vector;
adding the restoring vectors to obtain a spectrum of the original form having enhanced resolution; and
outputting a spectrum having the original form and enhanced resolution.
8. The method as claimed in claim 7 , wherein the gain and offset vector amplifies the corresponding spectrum of the ROI to adjust a peak amplitude of the corresponding spectrum into a dynamic active region.
9. The method as claimed in claim 7 , wherein the weighting vector is expressed by
W
=
[
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
]
.
10. The method as claimed in claim 7 , wherein the resolution vector is expressed by r(n)=F[R,ν(n)]=H·ν(n)+G, in which the gain and offset vector R is expressed by
R
=
[
H
0
G
0
H
1
G
1
⋮
⋮
H
k
G
k
]
,
where G is the gain and H is the offset.
11. The method as claimed in claim 7 , wherein the synthesis vector S is expressed by
S
=
[
1
H
0
-
G
0
H
0
1
H
1
-
G
1
H
1
1
H
2
-
G
2
H
2
⋮
⋮
1
H
k
-
G
k
H
k
]
,
where H is the gain and G is the offset.
12. A spectroscopic analyzer, comprising:
a light source;
a specimen;
a detector which detects an optical spectrum generated by projecting light from the light source to the specimen;
a spectral weighting block which adjusts a weighting vector and a gain and offset vector with respect to a region of interest (ROI) of the optical spectrum;
an up-down resolution block which amplifies the optical spectrum detected by the detector to generate a resolution vector in accordance with the weighting vector and the gain and offset vector;
an analog-to-digital converter which receives the resolution vector output from the up-down resolution block, and converts the received resolution vector to a digital signal; and
a spectrum synthesis block which multiplies an output of the analog-digital converter by a synthesis vector for restoring the optical spectrum to an original form to generate a restoring vector and adding the restoring vector to the output of the analog-digital converter to output a spectrum having the original form and enhanced resolution.
13. The spectroscopic analyzer as claimed in claim 12 , wherein the weighting vector selects a region having a relatively small amplitude, and, thus, a relatively low resolution, in the optical spectra divided by a predetermined time interval as the ROI.
14. The spectroscopic analyzer as claimed in claim 12 , wherein the gain and offset vector amplifies the corresponding spectrum of the ROI to adjust a peak amplitude of the corresponding spectrum into a dynamic active region.
15. The spectroscopic analyzer as claimed in claim 12 , wherein the up-down resolution block comprises:
a gain control unit which receives the gain vector from the spectral weighting block;
an offset control unit which receives the offset vector from the spectral weighting block; and
an amplifying unit which amplifies the spectrum of the ROI in accordance with the gain vector and the offset vector.
16. The spectroscopic analyzer as claimed in claim 12 , wherein the weighting vector is expressed by
W
=
[
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
]
.
17. The spectroscopic analyzer as claimed in claim 12 , wherein the resolution vector is expressed by r(n)=F[R,ν(n)]=H·ν(n)+G, in which the gain and offset vector R is expressed by
R
=
[
H
0
G
0
H
1
G
1
⋮
⋮
H
k
G
k
]
,
where H is the gain and G is the offset.
18. The spectroscopic analyzer as claimed in claim 12 , wherein the synthesis vector S is expressed by
S
=
[
1
H
0
-
G
0
H
0
1
H
1
-
G
1
H
1
1
H
2
-
G
2
H
2
⋮
⋮
1
H
k
-
G
k
H
k
]
,
where H is the gain and G is the offset.