The following requirements must be used in the design of a low-pass Butterworth filter: • A maximum gain of 10 dB in the passband • A 500 rad/s cutoff frequency with a gain of at least 7 dB •A stopband frequency of 3500 rad/s with a magnitude of less than -20 dB is expected. (i) (ii) Design the Butterworth filter by obtain the suitable filter order N. Based on the filter order obtained from (i), write the actual transfer function, H(s) of the Butterworth filter.

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The following requirements must be used in the design of a low-pass Butterworth
filter:
• A maximum gain of 10 dB in the passband
• A 500 rad/s cutoff frequency with a gain of at least 7 dB
• A stopband frequency of 3500 rad/s with a magnitude of less than -20 dB is
expected.
(i)
(ii)
Design the Butterworth filter by obtain the suitable filter order N.
Based on the filter order obtained from (i), write the actual transfer
function, H(s) of the Butterworth filter.
Transcribed Image Text:The following requirements must be used in the design of a low-pass Butterworth filter: • A maximum gain of 10 dB in the passband • A 500 rad/s cutoff frequency with a gain of at least 7 dB • A stopband frequency of 3500 rad/s with a magnitude of less than -20 dB is expected. (i) (ii) Design the Butterworth filter by obtain the suitable filter order N. Based on the filter order obtained from (i), write the actual transfer function, H(s) of the Butterworth filter.
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