CN111265786A - Resistance chain distribution method for secondary super-resolution circuit of respiratory motion signal - Google Patents

Resistance chain distribution method for secondary super-resolution circuit of respiratory motion signal Download PDF

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CN111265786A
CN111265786A CN202010077493.4A CN202010077493A CN111265786A CN 111265786 A CN111265786 A CN 111265786A CN 202010077493 A CN202010077493 A CN 202010077493A CN 111265786 A CN111265786 A CN 111265786A
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赵烟桥
陈睿
胡亚欣
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Harbin University of Science and Technology
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Abstract

The invention relates to a resistance chain distribution method for a respiratory motion signal secondary super-resolution circuit, belonging to the technical field of precision instruments and thoracico-abdominal radiotherapy; the method comprises the steps of firstly determining the final multiple of secondary super-resolution, wherein the multiple is required to be evenly divided by 4; then determining the number of resistor chains according to the final multiple of the secondary super-resolution; respectively determining the number of resistor chains distributed between the first output and the second output and between the second output and the third output according to the final multiple of the secondary super-resolution; finally, the ratio of the resistance on each resistance chain to the resistance below is respectively determined between the first output and the second output, between the second output and the third output; the resistance chain distribution method for the secondary super-resolution circuit of the respiratory motion signal can practically provide a methodology for how the resistance chain of the super-resolution circuit is distributed, and meanwhile, the given resistance ratio is more accurate.

Description

Resistance chain distribution method for secondary super-resolution circuit of respiratory motion signal
Technical Field
The invention relates to a resistance chain distribution method for a respiratory motion signal secondary super-resolution circuit, belonging to the technical field of precision instruments and thoracico-abdominal radiotherapy.
Background
The inventor applies two patents of patent application No. 2020100758931 in 2020, 01 month and 22 month and patent application No. 2020100758880 in super resolution of respiratory motion signals on the surface of the chest and abdomen and super resolution method of respiratory motion signals on the surface of the chest and abdomen. The two patents of the invention provide a super-resolution circuit and a super-resolution method for respiratory motion signals on the surface of the chest and abdomen aiming at the technical requirement of super-resolution of respiratory motion signals. The distribution of the resistance values of the resistor chain is one of the core technical links in the circuit and the method.
In the two patents, the result of assigning the resistance values in the resistor chain is given by the super-resolution multiple of 20, but the result is only given by the super-resolution multiple of 20, and how to give the result of assigning the resistance values in the resistor chain to different super-resolution multiples and how to ensure the assignment accuracy are not given in the two patents.
Therefore, the key technical problems that the super-resolution multiple is 20, the distribution precision is guaranteed to realize other super-resolution multiples, and the application range of the circuit is enlarged are solved.
Disclosure of Invention
In order to break through the technical bottleneck of the prior patent application of the inventor team, achieve the purpose of providing reasonable resistance value distribution results of the resistor chain on other super-resolution multiples and guarantee the distribution precision, the invention discloses a resistor chain distribution method for a respiratory motion signal secondary super-resolution circuit.
The purpose of the invention is realized as follows:
the resistance chain distribution method for the respiratory motion signal secondary super-resolution circuit comprises the following steps:
step a, determining the final multiple N of the secondary super-resolution, wherein N is required to be divided by 4;
b, determining the number N/2 of the resistor chains according to the final multiple N of the secondary super-resolution;
c, determining the number N/4-1 of resistor chains distributed between the first output sin α and the second output cos α according to the final multiple N of the quadratic super-resolution;
d, determining the number N/4-1 of resistor chains distributed between the second output cos α and the third output sin α according to the final multiple N of the secondary super resolution;
step e, according to the following formula:
Figure BDA0002378921870000021
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378921870000022
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
The resistance chain distribution method for the respiratory motion signal secondary super-resolution circuit comprises the following specific calculation steps of step e:
Figure BDA0002378921870000023
wherein the content of the first and second substances,
Figure BDA0002378921870000024
and has:
Figure BDA0002378921870000025
not only can the ratio k be calculated, but k' can be calculated from k as needed.
The resistance chain distribution method for the respiratory motion signal secondary super-resolution circuit comprises the following specific calculation steps of step f:
Figure BDA0002378921870000026
wherein the content of the first and second substances,
Figure BDA0002378921870000027
and has:
Figure BDA0002378921870000028
not only can the ratio k be calculated, but k' can be calculated from k as needed.
Has the advantages that:
first, compared with the chest and abdomen surface respiratory motion signal super resolution circuit (application number: 2020100758931) and the chest and abdomen surface respiratory motion signal super resolution method (application number: 2020100758880) which are invented by the inventor team at 22.01/2020, the invention practically provides a method for allocating the resistor chains, so that a theoretical basis can be provided for selecting the resistance value of the resistor chains in terms of super resolution times even if the invention is not limited to the circuits provided by the inventor team before.
Secondly, compared with the super-resolution circuit for the respiratory motion signals of the thoracoabdominal surface (application number: 2020100758931) and the super-resolution method for the respiratory motion signals of the thoracoabdominal surface (application number: 2020100758880), which are invented by the inventor in 22.01/2020, the method provided by the invention is strictly derived and has higher precision.
Thirdly, through the method of the application, it can be seen that the resistance ratio of two corresponding resistors in the resistor chain between the first output sin α and the second output cos α and between the second output cos α and the third output-sin α are completely symmetrical, so that the ratio of the resistor chain between two of the two outputs only needs to be calculated, and the ratio of the resistor chain between the other two outputs is naturally obtained, so that half of the operation amount can be saved in the actual operation process.
Drawings
Fig. 1 is a schematic diagram of a resistor chain involved in the method of the present invention.
Detailed Description
The following describes an embodiment of the present invention in further detail with reference to the accompanying drawings, wherein a schematic diagram of a resistor chain according to the present invention is shown in fig. 1.
Detailed description of the invention
The present embodiment is directed to a resistance chain allocation method for a respiratory motion signal secondary super-resolution circuit.
The resistance chain distribution method for the respiratory motion signal secondary super-resolution circuit comprises the following steps:
step a, determining the final multiple N of the secondary super-resolution, wherein N is required to be divided by 4;
b, determining the number N/2 of the resistor chains according to the final multiple N of the secondary super-resolution;
c, determining the number N/4-1 of resistor chains distributed between the first output sin α and the second output cos α according to the final multiple N of the quadratic super-resolution;
d, determining the number N/4-1 of resistor chains distributed between the second output cos α and the third output sin α according to the final multiple N of the secondary super resolution;
step e, according to the following formula:
Figure BDA0002378921870000031
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378921870000032
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
The specific calculation steps of step e are as follows:
Figure BDA0002378921870000041
wherein the content of the first and second substances,
Figure BDA0002378921870000042
and has:
Figure BDA0002378921870000043
not only can the ratio k be calculated, but k' can be calculated from k as needed.
The specific calculation steps of step f are as follows:
Figure BDA0002378921870000044
wherein the content of the first and second substances,
Figure BDA0002378921870000045
and has:
Figure BDA0002378921870000046
not only can the ratio k be calculated, but k' can be calculated from k as needed.
Detailed description of the invention
This embodiment mode will be described by way of example with specific numerals.
Taking data in patent application number 2020100758931 and patent application number 2020100758880 of the inventor of the invention (super resolution circuit for respiratory motion signals on the surface of the chest and abdomen) (application number 2020100758931) and the super resolution method for respiratory motion signals on the surface of the chest and abdomen (application number 2020100758880) applied by the inventor on 22/01/2020 as an example, the final multiple of the secondary super resolution is 20, and the specific implementation mode of the invention is seen.
Step a, determining the final multiple 20 of the secondary super-resolution, wherein 20 can be divided by 4;
b, determining the number of the resistor chains to be 10 according to the final multiple of the secondary super-resolution of 20;
c, determining the number 4 of the resistor chains distributed between the first output sin α and the second output cos α according to the final multiple of the quadratic super resolution of 20;
d, determining the number 4 of the resistor chains distributed between the second output cos α and the third output-sin α according to the final multiple of the secondary super resolution of 20;
step e, according to the following formula:
Figure BDA0002378921870000051
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378921870000052
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the second output cos α and the third output-sin α;
between the first output sin α and the second output cos α, in accordance with
Figure BDA0002378921870000053
The ratios of the upper resistance and the lower resistance of the 4 resistor chains are respectively obtained as follows:
Figure BDA0002378921870000054
Figure BDA0002378921870000055
Figure BDA0002378921870000056
Figure BDA0002378921870000057
in the invention patent of super resolution circuit for respiratory motion signals on the surface of the chest and abdomen (application number: 2020100758931) and the super resolution method for respiratory motion signals on the surface of the chest and abdomen (application number: 2020100758880), the ratios of the upper resistance and the lower resistance of 4 resistance chains are respectively as follows:
9/28≈0.32
8/11≈0.73
11/8≈1.38
28/9≈3.11
between the second output cos α and the third output-sin α, according to
Figure BDA0002378921870000058
The ratios of the upper resistance and the lower resistance of the 4 resistor chains are respectively obtained as follows:
Figure BDA0002378921870000059
Figure BDA00023789218700000510
Figure BDA00023789218700000511
Figure BDA00023789218700000512
in the invention patent of super resolution circuit for respiratory motion signals on the surface of the chest and abdomen (application number: 2020100758931) and the super resolution method for respiratory motion signals on the surface of the chest and abdomen (application number: 2020100758880), the ratios of the upper resistance and the lower resistance of 4 resistance chains are respectively as follows:
9/28≈0.32
8/11≈0.73
11/8≈1.38
28/9≈3.11
compared with the super-resolution circuit for the respiratory motion signals on the surfaces of the chest and abdomen (application number: 2020100758931) and the super-resolution method for the respiratory motion signals on the surfaces of the chest and abdomen (application number: 2020100758880), the method has the advantages that the conclusions of six resistance chains are completely consistent, the errors of two resistance chains are only about 1%, the errors are not the errors of the method, but the errors are generated when the super-resolution circuit for the respiratory motion signals on the surfaces of the chest and abdomen (application number: 2020100758931) and the super-resolution method for the respiratory motion signals on the surfaces of the chest and abdomen (application number: 2020100758880) are subjected to resistance type selection, and the conclusions are strictly deduced, so that the given conclusions are more accurate.
Detailed description of the invention
This embodiment mode will be described by way of example with specific numerals.
The specific embodiment of the present invention is shown here with the final multiple of the quadratic super-resolution being 16.
Step a, determining the final multiple 16 of the secondary super-resolution, wherein 16 can be divided by 4;
b, determining the number of the resistor chains to be 8 according to the final multiple of the secondary super resolution of 16;
c, determining the number 3 of the resistor chains distributed between the first output sin α and the second output cos α according to the final multiple 16 of the quadratic super resolution;
d, determining the number 3 of the resistor chains distributed between the second output cos α and the third output-sin α according to the final multiple 16 of the quadratic super-resolution;
step e, according to the following formula:
Figure BDA0002378921870000061
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378921870000062
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the second output cos α and the third output-sin α;
between the first output sin α and the second output cos α, in accordance with
Figure BDA0002378921870000071
The ratios of the resistances on the 3 resistance chains to the lower resistance are obtained as follows:
Figure BDA0002378921870000072
Figure BDA0002378921870000073
Figure BDA0002378921870000074
between the second output cos α and the third output-sin α, according to
Figure BDA0002378921870000075
The ratios of the resistances on the 3 resistance chains to the lower resistance are obtained as follows:
Figure BDA0002378921870000076
Figure BDA0002378921870000077
Figure BDA0002378921870000078
it should be noted that, as can be seen from the derivation of the present application, the ratio of the resistance values of the two corresponding resistor chains between the first output sin α and the second output cos α and between the second output cos α and the third output — sin α are completely symmetrical, so that only the ratio of the resistor chains between the two corresponding resistor chains needs to be calculated, and the ratio of the resistor chains between the other two corresponding resistor chains is naturally obtained.

Claims (3)

1. The resistance chain distribution method for the respiratory motion signal secondary super-resolution circuit is characterized by comprising the following steps of:
step a, determining the final multiple N of the secondary super-resolution, wherein N is required to be divided by 4;
b, determining the number N/2 of the resistor chains according to the final multiple N of the secondary super-resolution;
c, determining the number N/4-1 of resistor chains distributed between the first output sin α and the second output cos α according to the final multiple N of the quadratic super-resolution;
d, determining the number N/4-1 of resistor chains distributed between the second output cos α and the third output sin α according to the final multiple N of the secondary super resolution;
step e, according to the following formula:
Figure FDA0002378921860000011
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure FDA0002378921860000012
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
2. The respiratory motion signal secondary super-resolution circuit-oriented resistance chain allocation method according to claim 1, wherein the specific calculation steps of step e are as follows:
Figure FDA0002378921860000013
wherein the content of the first and second substances,
Figure FDA0002378921860000014
and has:
Figure FDA0002378921860000015
not only can the ratio k be calculated, but k' can be calculated from k as needed.
3. The respiratory motion signal secondary super-resolution circuit-oriented resistance chain allocation method according to claim 1, wherein the specific calculation steps of step f are as follows:
Figure FDA0002378921860000016
wherein the content of the first and second substances,
Figure FDA0002378921860000021
and has:
Figure FDA0002378921860000022
not only can the ratio k be calculated, but k' can be calculated from k as needed.
CN202010077493.4A 2020-01-30 2020-01-30 Resistance chain distribution method for secondary super-resolution circuit of respiratory motion signal Pending CN111265786A (en)

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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DD214215A1 (en) * 1983-04-04 1984-10-03 Robotron Messelekt MEASURING ARRANGEMENT FOR QUADRATED AND / OR ARITHMETIC AVERAGE
CN101989858A (en) * 2009-07-30 2011-03-23 陈启星 Dual-resistor chain digital-to-analog converter and analog-to-digital converter
CN103138757A (en) * 2011-11-22 2013-06-05 陈启星 Analog to digital converter (ADC) based on dual power resistance chain and digital to analog converter (DAC) based on dual power resistance chain
CN204373670U (en) * 2014-12-29 2015-06-03 昆明理工大学 A kind of grating subdivision device based on FPGA
CN106603079A (en) * 2016-12-19 2017-04-26 上海新储集成电路有限公司 Flash type analog-to-digital converter

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DD214215A1 (en) * 1983-04-04 1984-10-03 Robotron Messelekt MEASURING ARRANGEMENT FOR QUADRATED AND / OR ARITHMETIC AVERAGE
CN101989858A (en) * 2009-07-30 2011-03-23 陈启星 Dual-resistor chain digital-to-analog converter and analog-to-digital converter
CN103138757A (en) * 2011-11-22 2013-06-05 陈启星 Analog to digital converter (ADC) based on dual power resistance chain and digital to analog converter (DAC) based on dual power resistance chain
CN204373670U (en) * 2014-12-29 2015-06-03 昆明理工大学 A kind of grating subdivision device based on FPGA
CN106603079A (en) * 2016-12-19 2017-04-26 上海新储集成电路有限公司 Flash type analog-to-digital converter

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Title
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Application publication date: 20200612