Oscillator Design and Computer Simulation, Second Edition

2.6: L-C Resonator Phase Shift

2.6 L-C Resonator Phase Shift

The transmission phase shift at resonance (maximum transmission and maximum phase slope) of the simple resonators is zero degrees. The transmission phase shift of the three element resonators at resonance is 180 .

The four element coupled resonators also provide a degree of freedom in transmission phase shift at resonance. For example, with LC7, for a given Q, smaller values of shunt capacitance lead to larger series inductance up the the value of inductance for the simple resonator. At this extreme, the transmission phase approaches zero-degrees. Large values of shunt capacitance decrease the series inductance and the transmission phase approaches -180 at resonance. The LC8 resonator has a transmission phase shift of zero-degrees for large C8A and B and +180 for small C8A and B. The designer therefor has available resonators of arbitrary transmission phase at resonance!

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