Signals and Systems Design an analog low-pass filter with the following characteristics: - fp = 6KHz - fs = 7KHz - Rp =

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Signals and Systems
Design an analog low-pass filter with the following
characteristics:
- fp = 6KHz
- fs = 7KHz
- Rp = 1.5dB
- As = 18dB
- For a Butterworth design answer:
(a) The order of the resulting analog filter.
(b) Write the transfer function of the analog filter Ha(s).
Plot
the poles and zeros. Analyze the stability and causality
criteria.
(c) Write the frequency response of the system. Draw its magnitude
and phase using BODE diagrams.