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Related Concept Videos

Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

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Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
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An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
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Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
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Ultralow-phase-noise oscillators based on BAW resonators.

Mingdong Li, Seonho Seok, Nathalie Rolland

    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
    |May 27, 2014
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    Summary
    This summary is machine-generated.

    Two novel 2.1-GHz oscillators using Bulk Acoustic Wave (BAW) resonators were developed. The differential Colpitts oscillator achieved superior low phase noise performance compared to the single-ended design, suitable for micro-atomic clocks.

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    Area of Science:

    • Electrical Engineering
    • RF and Microwave Engineering
    • Solid-State Devices

    Background:

    • Phase noise is a critical parameter in oscillator design, impacting signal integrity.
    • Bulk Acoustic Wave (BAW) resonators offer high-quality factor for frequency stabilization.
    • BiCMOS technology provides a suitable platform for integrated oscillator circuits.

    Purpose of the Study:

    • To design and implement two 2.1-GHz low-phase noise oscillators using BAW resonators.
    • To compare the performance of a single-ended common base and a differential Colpitts oscillator structure.
    • To evaluate the potential application of these oscillators in micro-atomic clocks.

    Main Methods:

    • Implementation of single-ended common base and differential Colpitts oscillator structures in a 0.25-μm BiCMOS process.
    • Detailed design, optimization, and testing of BAW resonator-based oscillators.
    • Comparative analysis of phase noise, power consumption, and output power between the two structures.

    Main Results:

    • The differential Colpitts oscillator demonstrated a 6.5 dB lower phase noise than the single-ended design.
    • Achieved phase noise of -87 dBc/Hz at 1-kHz offset and a phase noise floor of -162 dBc/Hz for the differential Colpitts structure.
    • Both oscillators showed promising phase noise performance compared to existing literature, with low power consumption (21.6 mW).

    Conclusions:

    • The differential Colpitts structure offers superior phase noise immunity and performance.
    • The developed BAW oscillators are suitable for applications requiring high frequency stability, such as micro-atomic clocks.
    • Optimization techniques enhance the phase noise performance of BAW oscillators in BiCMOS technology.