Roll-off rate of low pass filter

1. What is the roll-off rate of a low-pass filter?
2. What is roll-off frequency in filters?
3. What is the roll-off rate of first order high pass filter?
4. What will be the roll-off rate for an nth order low-pass filter?

What is the roll-off rate of a low-pass filter?

The steepness of the gain in the stop band is referred to as the filter's roll-off. All first-order filters have a 20 dB/decade roll-off. The same roll-off can also be specified as 6 dB/octave. An octave is a term borrowed from music and represents a doubling of frequency.

What is roll-off frequency in filters?

Roll-off is the steepness of a transfer function with frequency, particularly in electrical network analysis, and most especially in connection with filter circuits in the transition between a passband and a stopband.

What is the roll-off rate of first order high pass filter?

It has the roll-off rate of 40dB/Decade or 12dB/octave providing more steeper gain slope. The first order filter has 20dB/Decade or 6dB/octave.

What will be the roll-off rate for an nth order low-pass filter?

Then, for a filter that has an n^th number order, it will have a subsequent roll-off rate of 20n dB/decade or 6n dB/octave.