I am trying to remove a noise which was generated as a random noise added with multitone cosine signals so that this noise will contain white gaussian noise with multiple

I am trying to remove a noise which was generated as a random noise added with multitone cosine signals so that this noise will contain white gaussian noise with multiple frequencies. Now I will add this noise to a sine wave of 3Volts amplitude and 35Hz frequency. The frequencies in the noise signal are 5Hz, 10Hz, 50Hz and 100Hz respectively. How should I design the adaptive noise canceler of LMS algorithm to remove the noise from the sine wave. Also how can I prepare the noise signal , so that the ANC can properly adapt?

Answer 1

[Image Analyst]

It's not really white (flat spectrum), is it, if it occurs at specific and known frequencies? Why don't you just FFT the signal and zero out the signal at the known frequencies, then inverse FFT? So either zero out the values corresponding to 5, 10, 50, and 100 Hz, or equivalently, zero out everything except for the 35 Hz carrier frequency that you want to keep.

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