1 Answer
The range of a bandpass filter refers to the range of frequencies that the filter allows to pass through while attenuating frequencies outside this range. Essentially, it is the frequency band where the filter operates.
A bandpass filter has two key frequencies:
The range of the bandpass filter is the difference between these two frequencies:
\[
\text{Range} = fᵤ - fₗ
\]
In other words, the filter allows frequencies between fₗ and fᵤ to pass through, and it attenuates signals outside of this range.
Example:
\[
\text{Range} = 1000 \, \text{Hz} - 100 \, \text{Hz} = 900 \, \text{Hz}
\]
This means the filter will allow frequencies between 100 Hz and 1000 Hz to pass and block frequencies outside this range.
A bandpass filter has two key frequencies:
- Lower cutoff frequency (fₗ): The lowest frequency that the filter will allow to pass through.
- Upper cutoff frequency (fᵤ): The highest frequency that the filter will allow to pass through.
The range of the bandpass filter is the difference between these two frequencies:
\[
\text{Range} = fᵤ - fₗ
\]
In other words, the filter allows frequencies between fₗ and fᵤ to pass through, and it attenuates signals outside of this range.
Example:
- If the lower cutoff frequency (fₗ) is 100 Hz and the upper cutoff frequency (fᵤ) is 1 kHz, then the range of the bandpass filter is:
\[
\text{Range} = 1000 \, \text{Hz} - 100 \, \text{Hz} = 900 \, \text{Hz}
\]
This means the filter will allow frequencies between 100 Hz and 1000 Hz to pass and block frequencies outside this range.