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Q4. Determine the oscillation frequency (angular frequency) and a filter paramet...

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Q4. Determine the oscillation frequency (angular frequency) and a filter parameter

A sinusoidal oscillator consists of an amplifier having a positive, frequency-independent gain A connected in a feedback loop with a second order bandpass filter having the transfer function T(s) = \frac{(\frac{\omega_0}{Q})sK}{s^2 + (\frac{\omega_0}{Q})s + \omega_0^2}T(s) = \frac{(\frac{\omega_0}{Q})sK}{s^2 + (\frac{\omega_0}{Q})s + \omega_0^2} , where ss is the Laplace variable, and KK, \omega_0\omega_0, and QQ are positive constants. Find the frequency of oscillation and the minimum value of KK must have for sustained oscillations. 

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