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What is the lowest order of the Butterworth filter with a pass band gain KP= -1 dB at ΩP= 4 rad/sec and stop band attenuation greater than or equal to 20dB at ΩS= 8 rad/sec?
- a)4
- b)5
- c)6
- d)3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What is the lowest order of the Butterworth filter with a pass band ga...
Explanation: We know that the equation for the order of the Butterworth filter is given as
From the given question,
KP= -1 dB, ΩP= 4 rad/sec, KS= -20 dB and ΩS= 8 rad/sec
Upon substituting the values in the above equation, we get
N=4.289
Rounding off to the next largest integer, we get N=5.
From the given question,
KP= -1 dB, ΩP= 4 rad/sec, KS= -20 dB and ΩS= 8 rad/sec
Upon substituting the values in the above equation, we get
N=4.289
Rounding off to the next largest integer, we get N=5.
Most Upvoted Answer
What is the lowest order of the Butterworth filter with a pass band ga...
The Butterworth filter is a type of analog filter that provides a maximally flat frequency response in the passband. The order of the Butterworth filter refers to the number of reactive components (capacitors and inductors) in the filter circuit.
To determine the lowest order of the Butterworth filter with a passband gain KP = -1 dB, we need additional information such as the cutoff frequency or the desired attenuation in the stopband. Without this information, it is not possible to determine the specific order of the filter.
In general, the Butterworth filter can be designed to have any desired gain in the passband, so a Butterworth filter with a passband gain of KP = -1 dB can be achieved with various orders depending on the other design parameters.
To determine the lowest order of the Butterworth filter with a passband gain KP = -1 dB, we need additional information such as the cutoff frequency or the desired attenuation in the stopband. Without this information, it is not possible to determine the specific order of the filter.
In general, the Butterworth filter can be designed to have any desired gain in the passband, so a Butterworth filter with a passband gain of KP = -1 dB can be achieved with various orders depending on the other design parameters.
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What is the lowest order of the Butterworth filter with a pass band gain KP= -1 dB at ΩP= 4 rad/sec and stop band attenuation greater than or equal to 20dB at ΩS= 8 rad/sec?a)4b)5c)6d)3Correct answer is option 'B'. Can you explain this answer?
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