CMOS Analog Integrated Circuits

7.8    Practical design considerations

Let us assume that the main filter in the master-slave tuning scheme (see Figure 7.88) is based on a biquadratic filter section with the following bandpass transfer function,

FIGURE 7.104Plot of the transient responses (outputs v₀₁(t) and v₀₂(t)) for ω_c = BW/2.

$T(s)=k\frac{\frac{{\omega }_0}{Q}s}{s^2+\left(\frac{{\omega }_0}{Q}\right)s+{\omega }_0{2}^{}},$

(7.281)

where k is a gain factor, ω₀ denotes the center frequency, and Q is the quality factor. The phase difference between the reference and the filter output signal, ϕ, is required in the frequency-tuning loop while the magnitude of the filter output signal, M, is needed in the Q-tuning circuit. Assuming that the input ...