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A notch filter is a way of removing certain frequencies in a system. Show analytically that if the transfer function of a notch filter

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A notch filter is a way of removing certain frequencies in a system. Show analytically that if the transfer function of a notch filter is described by G(s) = s+w s+23ws+w , for some positive values of w and 3, the filter output will decay to zero when the input is a sinusoid of frequency w.

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