Is it possible to do demodulation of “arbitrary modulation”, using e.g. Hilbert transform or something?












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$begingroup$


Is it possible to do demodulation of "arbitrary modulation", using e.g. Hilbert transform or something?



While demodulation of known or "approximately known" modulated signal can be done e.g. like this:



enter image description here



https://www.gaussianwaves.com/2017/04/extracting-instantaneous-amplitude-phase-frequency-hilbert-transform/



then is there anything to be done if the modulation signal is unknown? The Hilbert transform can provide e.g. the amplitude contour, but this I'm not sure whether it correlates to the amplitude of the modulation signal.



Because one could e.g. do:



z = hilbert(x), inst_amplitude = np.abs(z) # contour



then by reasoning that the contour is "how the signal's amplitude has been modulated compared to 'equal amplitude' original signal", then one could try:



inv_inst_amplitude = -inst_amplitude, which is the contour, but acting to the opposite direction. So one could perhaps demodulate by applying this negative contour to the modulated signal in order to get a "flat amplitude signal".



However with a simple example:



enter image description here



Then what am I supposed to do now?










share|cite|improve this question









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    0












    $begingroup$


    Is it possible to do demodulation of "arbitrary modulation", using e.g. Hilbert transform or something?



    While demodulation of known or "approximately known" modulated signal can be done e.g. like this:



    enter image description here



    https://www.gaussianwaves.com/2017/04/extracting-instantaneous-amplitude-phase-frequency-hilbert-transform/



    then is there anything to be done if the modulation signal is unknown? The Hilbert transform can provide e.g. the amplitude contour, but this I'm not sure whether it correlates to the amplitude of the modulation signal.



    Because one could e.g. do:



    z = hilbert(x), inst_amplitude = np.abs(z) # contour



    then by reasoning that the contour is "how the signal's amplitude has been modulated compared to 'equal amplitude' original signal", then one could try:



    inv_inst_amplitude = -inst_amplitude, which is the contour, but acting to the opposite direction. So one could perhaps demodulate by applying this negative contour to the modulated signal in order to get a "flat amplitude signal".



    However with a simple example:



    enter image description here



    Then what am I supposed to do now?










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      Is it possible to do demodulation of "arbitrary modulation", using e.g. Hilbert transform or something?



      While demodulation of known or "approximately known" modulated signal can be done e.g. like this:



      enter image description here



      https://www.gaussianwaves.com/2017/04/extracting-instantaneous-amplitude-phase-frequency-hilbert-transform/



      then is there anything to be done if the modulation signal is unknown? The Hilbert transform can provide e.g. the amplitude contour, but this I'm not sure whether it correlates to the amplitude of the modulation signal.



      Because one could e.g. do:



      z = hilbert(x), inst_amplitude = np.abs(z) # contour



      then by reasoning that the contour is "how the signal's amplitude has been modulated compared to 'equal amplitude' original signal", then one could try:



      inv_inst_amplitude = -inst_amplitude, which is the contour, but acting to the opposite direction. So one could perhaps demodulate by applying this negative contour to the modulated signal in order to get a "flat amplitude signal".



      However with a simple example:



      enter image description here



      Then what am I supposed to do now?










      share|cite|improve this question









      $endgroup$




      Is it possible to do demodulation of "arbitrary modulation", using e.g. Hilbert transform or something?



      While demodulation of known or "approximately known" modulated signal can be done e.g. like this:



      enter image description here



      https://www.gaussianwaves.com/2017/04/extracting-instantaneous-amplitude-phase-frequency-hilbert-transform/



      then is there anything to be done if the modulation signal is unknown? The Hilbert transform can provide e.g. the amplitude contour, but this I'm not sure whether it correlates to the amplitude of the modulation signal.



      Because one could e.g. do:



      z = hilbert(x), inst_amplitude = np.abs(z) # contour



      then by reasoning that the contour is "how the signal's amplitude has been modulated compared to 'equal amplitude' original signal", then one could try:



      inv_inst_amplitude = -inst_amplitude, which is the contour, but acting to the opposite direction. So one could perhaps demodulate by applying this negative contour to the modulated signal in order to get a "flat amplitude signal".



      However with a simple example:



      enter image description here



      Then what am I supposed to do now?







      signal-processing






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Dec 29 '18 at 2:26









      mavaviljmavavilj

      2,82411137




      2,82411137






















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