Signal denoising methods without availability of clean signal












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In sensors, the data collected is always noisy. I want to denoise the data using machine learning methods. As per my understanding, the output of the trained algorithm should be the clean signal and the input should be the noisy. However, I don't have clean signal that can act as the target. How can I denoise it then?



The noise is due to sensor failure and is white noise -- it is kind of a random strain and this happens due to faulty sensors. So, the sensor reading data $x$ is smeared by white noise. Mathematically: $y = x + w$.



Using $y$, how can I estimate $x$ using machine learning -- how to denoise when I have no values of $x$? The data $x$ is a multivariate acoustic time series where each univariate time series represents a channel or a microphone. It is not sparse.



I tried Kalman filtering, but that requires pilot symbols (known clean symbols) of the data $x$ which again I don't have.









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    $begingroup$


    In sensors, the data collected is always noisy. I want to denoise the data using machine learning methods. As per my understanding, the output of the trained algorithm should be the clean signal and the input should be the noisy. However, I don't have clean signal that can act as the target. How can I denoise it then?



    The noise is due to sensor failure and is white noise -- it is kind of a random strain and this happens due to faulty sensors. So, the sensor reading data $x$ is smeared by white noise. Mathematically: $y = x + w$.



    Using $y$, how can I estimate $x$ using machine learning -- how to denoise when I have no values of $x$? The data $x$ is a multivariate acoustic time series where each univariate time series represents a channel or a microphone. It is not sparse.



    I tried Kalman filtering, but that requires pilot symbols (known clean symbols) of the data $x$ which again I don't have.









    share









    $endgroup$















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      0





      $begingroup$


      In sensors, the data collected is always noisy. I want to denoise the data using machine learning methods. As per my understanding, the output of the trained algorithm should be the clean signal and the input should be the noisy. However, I don't have clean signal that can act as the target. How can I denoise it then?



      The noise is due to sensor failure and is white noise -- it is kind of a random strain and this happens due to faulty sensors. So, the sensor reading data $x$ is smeared by white noise. Mathematically: $y = x + w$.



      Using $y$, how can I estimate $x$ using machine learning -- how to denoise when I have no values of $x$? The data $x$ is a multivariate acoustic time series where each univariate time series represents a channel or a microphone. It is not sparse.



      I tried Kalman filtering, but that requires pilot symbols (known clean symbols) of the data $x$ which again I don't have.









      share









      $endgroup$




      In sensors, the data collected is always noisy. I want to denoise the data using machine learning methods. As per my understanding, the output of the trained algorithm should be the clean signal and the input should be the noisy. However, I don't have clean signal that can act as the target. How can I denoise it then?



      The noise is due to sensor failure and is white noise -- it is kind of a random strain and this happens due to faulty sensors. So, the sensor reading data $x$ is smeared by white noise. Mathematically: $y = x + w$.



      Using $y$, how can I estimate $x$ using machine learning -- how to denoise when I have no values of $x$? The data $x$ is a multivariate acoustic time series where each univariate time series represents a channel or a microphone. It is not sparse.



      I tried Kalman filtering, but that requires pilot symbols (known clean symbols) of the data $x$ which again I don't have.







      time-series prediction machine-learning-model noise





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      asked 7 mins ago









      Srishti MSrishti M

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