The high-pass filter designed in Problem 1 is cascaded with the low-pass filter designed in Problem 2.
a) Describe the type of filter formed by this interconnection.
b) Specify the cutoff frequencies, the mid-frequency, and the quality factor of the filter.
c) Use the results of Problems 1 and 2 to derive the scaled transfer function of the filter.
d) Check the derivation of (c) by using it to calculate H(jωo), where ωo is the midfrequency of the filter.
Problem 1
a) Determine the order of a low-pass Butterworth filter that has a cutoff frequency of 2000 Hz and a gain of no more than − 30 dB at 7000 Hz.
b) What is the actual gain, in decibels, at 7000 Hz?
Problem 2
Verify the entries in Table 15.1 for n − 5 and n = 6.
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