# US 10,373,815 B2 · Methods of resolving artifacts in Hadamard-transformed data > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 10,373,815 B2 - Document ID: US10373815B2 - Status: Granted - Kind: B2 - Application number: 14/197,930 - Filed: 2014-03-05 - Published: 2014-10-23 - Granted: 2019-08-06 - Earliest claimed: 2013-04-19 - Assignees: Battelle Memorial Institute - Applicants: Battelle Memorial Institute - Inventors: Kevin L. Crowell; Spencer A. Prost - Web page: https://patentgrep.com/patent/US10373815B2 ## CPC - H01J 49/0036: {Step by step routines describing the handling of the data generated during a measurement} - H01J: ELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS (spark-gaps H01T; electric arc lamps H05B31/00; particle accelerators H05H) ## Abstract A method of validating data produced from a multiplexing process on an analytical instrument is disclosed. In one embodiment, the method includes using a pseudorandom sequence to encode a multiplexed segment of data; applying Hadamard transform to generate a demultiplexed segment of the data; aligning the pseudorandom sequence to the multiplexed data; and calculating a score for at least one positive value in the demultiplexed segment to find a valid demultiplexed value. ## Claims ### Claim 1 A method of validating data produced from a multiplexing process on an analytical instrument comprising a detector, the method comprising: by a computer: receiving intensity data generated by the detector in response to the multiplexing process in the form of multiplexed data, the multiplexing process being performed according to a pseudorandom sequence; applying Hadamard transform to the intensity data to form demultiplexed data; aligning the pseudorandom sequence to the multiplexed data, a first “1” in the pseudorandom sequence being aligned to a positive value in the multiplexed data; and using multiplexed data having a corresponding “1” in the pseudorandom sequence to increase a signal to noise ratio of the intensity data. ### Claim 2 (depends on 1) The method of claim 1 wherein the using multiplexed data having a corresponding “1” in the pseudorandom sequence to increase a signal to noise ratio of the intensity data comprises summing the multiplexed data having a corresponding “1” in the pseudorandom sequence. ### Claim 3 (depends on 2) The method of claim 2 further comprising altering the alignment of the pseudorandom sequence to the multiplexed data, wherein the first “1” in the pseudorandom sequence is aligned with a different positive value of the multiplexed data, summing the multiplexed values that correspond to a ‘1’ in the pseudorandom sequence, and repeating until all positive multiplexed values have been aligned and summed. ### Claim 4 (depends on 3) The method of claim 3 wherein the largest positive sum represents the valid multiplexed value in the multiplexed segment of data. ### Claim 5 (depends on 4) The method of claim 4 further comprising subtracting the valid multiplexed value from other positive multiplexed values that have a ‘1’ assigned to create a second multiplexed segment of values. ### Claim 6 (depends on 5) The method of claim 5 further comprising finding additional valid multiplexed values. ### Claim 7 (depends on 1) The method of claim 1 wherein the using multiplexed data having a corresponding “1” in the pseudorandom sequence to increase a signal to noise ratio of the intensity data comprises retaining the data aligned to a “1” in the pseudorandom sequence to increase the signal to noise ratio of the data. ### Claim 8 A method of validating data produced from a multiplexing process on an analytical instrument comprising: with a detector coupled to the analytical instrument, generating intensity data in the form of multiplexed data; and by a computer: receiving intensity data generated by the detector in the form of multiplexed data, the multiplexing process being performed according to a pseudorandom sequence; applying Hadamard transform to the intensity data to form demultiplexed data; aligning the multiplexed and demultiplexed data to determine positive or negative values; aligning the pseudorandom sequence to at least one of the determined positive values in the multiplexed data or the demultiplexed data; and using multiplexed data having a corresponding “1” in the pseudorandom sequence to increase a signal to noise ratio of the intensity data. ### Claim 9 (depends on 8) The method of claim 8 wherein the using multiplexed data having a corresponding “1” to increase a signal to noise ratio of the intensity data comprises summing the multiplexed data aligned to a “1”. ### Claim 10 (depends on 8) The method of claim 8 wherein the largest positive sum represents the valid multiplexed value in the multiplexed segment of data. ### Claim 11 (depends on 10) The method of claim 10 further comprising subtracting the valid multiplexed value from other positive multiplexed values that are aligned to a ‘1’ to create a second multiplexed segment of values. ### Claim 12 (depends on 8) The method of claim 8 wherein the using multiplexed data having a corresponding “1” to increase a signal to noise ratio of the intensity data comprises summing the multiplexed values that correspond to a ‘1’ in the pseudorandom sequence. ### Claim 13 (depends on 8) The method of claim 8 wherein the using multiplexed data having a corresponding “1” to increase a signal to noise ratio of the intensity data comprises subtracting the valid multiplexed value from other multiplexed values that correspond to a ‘1’ in the pseudorandom sequence to create a second multiplexed segment of values. ### Claim 14 An analytical instrument, comprising: a gate; a detector; a processor situated to receive data generated by the detector; and one or more computer-readable storage devices or memory storing computer-executable instructions that when executed by the processor, cause the processor to perform a method, the method comprising: receiving intensity data generated by the detector in the form of multiplexed data, the multiplexing process being performed according to a pseudorandom sequence; applying Hadamard transform to the intensity data to form demultiplexed data; aligning the multiplexed and demultiplexed data to determine positive or negative values; aligning the pseudorandom sequence to the multiplexed data, wherein a first ‘1’ in the pseudorandom sequence is aligned to a positive value in the multiplexed data; and using multiplexed data having a corresponding “1” to increase a signal to noise ratio of the intensity data. ### Claim 15 (depends on 14) The analytical instrument of claim 14, wherein: the gate is configured to introduce analytes into a chamber coupled to the detector according to the pseudorandom sequence. ### Claim 16 (depends on 14) The analytical instrument of claim 14, wherein the step for using multiplexed data having a corresponding “1” comprises summing the multiplexed data having a corresponding “1”. ### Claim 17 (depends on 16) The analytical instrument of claim 16, wherein the method further comprises a step for altering the alignment of the pseudorandom sequence to the multiplexed data, wherein the first “1” is aligned with a different positive value of the multiplexed data, summing the multiplexed values that correspond to a “1”, and repeating until all positive multiplexed values have been aligned to the pseudorandom sequence and summed. ### Claim 18 (depends on 17) The analytical instrument of claim 17, wherein the largest positive sum represents the valid multiplexed value in the multiplexed segment of data. ### Claim 19 (depends on 18) The analytical instrument of claim 18, wherein the method further comprises subtracting the valid multiplexed value from other positive multiplexed values that are aligned to a ‘1’ to create a second multiplexed segment of values. ### Claim 20 (depends on 18) The analytical instrument of claim 18, wherein the using multiplexed data having a corresponding “1” to increase a signal to noise ratio of the intensity data comprises subtracting the valid multiplexed value from other multiplexed values that correspond to a ‘1’ in the pseudorandom sequence to create a second multiplexed segment of values. ### Claim 21 An analytical instrument, comprising: a gate; a detector; a processor situated to receive multiplexed intensity data generated by the detector, the multiplexing process being performed according to a pseudorandom sequence; and one or more computer-readable storage devices or memory storing computer-executable instructions that when executed by the processor, cause the processor to perform a method, the method comprising: a step for applying Hadamard transform to the intensity data to form demultiplexed data; a step for aligning the multiplexed and demultiplexed data to determine positive or negative values; a step for aligning the pseudorandom sequence to the multiplexed data; and a step for using multiplexed data having a corresponding “1”.