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Comments on How to design a low-pass filter when certain conditions must be met

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How to design a low-pass filter when certain conditions must be met

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I am designing a low-pass filter with cut-off frequency = 100Hz and after the cutoff frequency from -3dB to -10dB the average decrease in db/Hz = -0.1 db/Hz.I know how to design a low-pass filter with cut-off frequency of 100Hz however I cannot meet the 2nd condition of the filter.How do I achieve such a thing?

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1 comment thread

Let me try to "translate" your requirements: * Lowpass (no order specified) with -3dB at fo=100 Hz ... (1 comment)
Let me try to "translate" your requirements: * Lowpass (no order specified) with -3dB at fo=100 Hz ...
LvW‭ wrote over 2 years ago · edited over 2 years ago

Let me try to "translate" your requirements:

Lowpass (no order specified) with -3dB at fo=100 Hz

A frequency increase beyond this frequency fo by another 100Hz (fx1=200 Hz) must correspond to a damping of -10dB (because of 0.1dB/Hz).

A first-order lowpass (fo=100 Hz) has a damping of -10 dB at fx2=300 Hz.

Therefore, when a 10 dB damping is reqired at Fx1=200 Hz, the order of the filter must be increased.

Comment: Since you have mentioned an "average" damping, I have assumed that you do not require an exact "damping function" of 0.1dB/Hz