Method for performing a noise removal operation on a signal acquired by a sensor and system therefrom
A method for performing a noise removal operation includes decomposing an acquired signal considered as one dimensional series. A trajectory matrix is constructed, transforming the trajectory matrix in a form to which single value decomposition is applicable. A single value decomposition is done on the transformed matrix computing eigenvalues and eigenvectors of the matrix. A one dimensional series is reconstructed, corresponding to the denoised signal. After the single value decomposition operation is provided, a single value decomposition is applied sequentially starting from a given window value. For each iteration, the root mean square value is calculated between a current and previous eigenvalue, calculating a minimum and its position of said root mean square value. The iterations are halted if the minimum is lower than a determined threshold value, otherwise increasing the window value and returning to the operation of decomposition of the acquired signal.
1. A method for performing a noise removal operation on a signal acquired by a sensor obtaining a denoised signal, said noise removal operation including a Singular Spectrum Analysis,
said Singular Spectrum Analysis including performing iteratively:
an operation of decomposition of said acquired signal considered as one dimensional series,
an operation of construction of a trajectory matrix, transforming said trajectory matrix in a form to which single value decomposition is applicable,
an operation of single value decomposition on said transformed matrix computing eigenvalues and eigenvectors of said matrix,
an operation of reconstruction of a one dimensional series corresponding to said denoised signal based on selected among said eigenvalues,
wherein after the single value decomposition operation is provided,
applying sequentially a single value decomposition starting from a given window value, in particular a value of three,
for each iteration, calculating the root mean square value between the current and previous eigenvalue, calculating a minimum and its position of said root mean square value, and
halting the iterations if said minimum is lower than a determined threshold value, otherwise increasing the window value and returning to the operation of decomposition of said acquired signal.
2. A method for monitoring the quality of an industrial working process, which includes identifying defects of the working process, of the type comprising the steps of:
acquiring a signal having multiple frequency components from the industrial working process,
performing a noise removal operation on said acquired signal obtaining a denoised signal,
decomposing said denoised signal y(t) in signals having single frequency components and performing a subsequent orthogonalization to obtain orthogonalized components having a single frequency component,
calculating for each intrinsic orthogonalized component the respective energy,
selecting the intrinsic orthogonalized component with the highest energy value,
estimating the instantaneous energy of the intrinsic orthogonalized component with the highest energy value applying an energy tracking operator,
performing a procedure of defect identification on the instantaneous energy of the intrinsic orthogonalized component with the highest energy value, and
wherein said noise removal operation is performed according to the method of claim 1 .
3. The monitoring method as claimed in claim 2 , wherein said acquiring at least one signal having multiple frequency components from the industrial working process includes sensing a signal generated by the working process.
4. The monitoring method as claimed in claim 3 , wherein said industrial process is a laser welding process or a laser cutting process.
5. The monitoring method as claimed in claim 3 , wherein said sensing a signal comprises sensing a radiation by a photosensor.
6. A system for monitoring the quality of an industrial process, comprising:
sensor means for measuring one or more process parameters, and
an electronic control and processing unit for processing the signals emitted by said sensor means,
wherein:
said electronic control and processing unit is configured to process the signals emitted by said sensor means and to perform the method for monitoring the quality of an industrial process as claimed in claim 3 .
7. A computer product directly loadable into the memory of an electronic computer and comprising software code portions to perform the method as claimed in claim 3 , when the product is run on a computer.
8. The monitoring method as claimed in claim 2 , wherein said industrial process is a laser welding process or a laser cutting process.
9. The monitoring method as claimed in claim 8 , wherein said sensing a signal comprises sensing a radiation by a photosensor.
10. A system for monitoring the quality of an industrial process, comprising:
sensor means for measuring one or more process parameters, and
an electronic control and processing unit for processing the signals emitted by said sensor means,
wherein:
said electronic control and processing unit is configured to process the signals emitted by said sensor means and to perform the method for monitoring the quality of an industrial process as claimed in claim 8 .
11. A computer product directly loadable into the memory of an electronic computer and comprising software code portions to perform the method as claimed in claim 8 , when the product is run on a computer.
12. The monitoring method as claimed in claim 2 , wherein said sensing a signal comprises sensing a radiation by a photosensor.
13. A system for monitoring the quality of an industrial process, comprising:
sensor means for measuring one or more process parameters, and
an electronic control and processing unit for processing the signals emitted by said sensor means,
wherein:
said electronic control and processing unit is configured to process the signals emitted by said sensor means and to perform the monitoring method as claimed in claim 12 .
14. A computer product directly loadable into the memory of an electronic computer and comprising software code portions to perform the method as claimed in claim 12 , when the product is run on a computer.
15. The method of claim 12 wherein said photosensor comprises a photodiode.
16. A system for monitoring the quality of an industrial process, comprising:
sensor means for measuring one or more process parameters, and
an electronic control and processing unit for processing the signals emitted by said sensor means,
wherein:
said electronic control and processing unit is configured to process the signals emitted by said sensor means and to perform the method for monitoring the quality of an industrial process as claimed in claim 2 .
17. A computer product directly loadable into the memory of an electronic computer and comprising software code portions to perform the method as claimed in claim 2 , when the product is run on a computer.
18. A noise removal method according to claim 1 wherein the method can be used also to remove noise from electrocardiographic or electromyographic signal.
19. A computer product directly loadable into the memory of an electronic computer and comprising software code portions to perform the method as claimed in claim 1 , when the product is run on a computer.
20. The method of claim 1 wherein said determined threshold value is 1.