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What is the order of the filter, when the gain decreases at the rate of 60 dB/decade?
- a)Second order low pass filter
- b)Third order high pass filter
- c)Third order low pass filter
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
What is the order of the filter, when the gain decreases at the rate o...
Concept:
- The roll off of a filter is defined as the slope of the filter's response in the transition region between the pass-band and stop-band.
- Roll-off is given in dB/decade(ten times the frequency) or in dB/octave (doubling of frequency).
- If the response changes rapidly with frequency, the roll-off is said to be steep.
The roll-off for a general first-order low pass filter is - 20 dB/decade, i.e. the gain decreases by 20 dB for a decade (10 times) change in frequency.
For an nth order filter, the roll-off is given by:
Roll-off (nth order) = n × 20 dB/decade
Application:
Given, Roll-off = - 60 dB/decade (negative sign indicates that the gain is decreasing with an increase in frequency)
The order will be:
60 dB/decade = n × 20 dB/decade
n = 3
Conclusion:
For an nth order filter, the roll-off is given by:
Roll-off (nth order) = n × 20 dB/decade
Application:
Given, Roll-off = - 60 dB/decade (negative sign indicates that the gain is decreasing with an increase in frequency)
The order will be:
60 dB/decade = n × 20 dB/decade
n = 3
Conclusion:
- So the given filter is a third-order filter.
- Since the gain is decreasing with an increasing frequency, it is a low pass filter.
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What is the order of the filter, when the gain decreases at the rate of 60 dB/decade?a)Second order low pass filterb)Third order high pass filterc)Third order low pass filterd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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