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Related Concept Videos

Passive Filters01:27

Passive Filters

Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff frequency...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...
Active Filters01:25

Active Filters

Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
Parallel Resonance01:23

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Second-order Op Amp Circuits01:19

Second-order Op Amp Circuits

Implementing second-order low-pass filters in audio systems is crucial in refining audio signals by eliminating undesirable high-frequency noise. These filters typically involve second-order op-amp circuits configured as voltage followers, encompassing two nodes with distinct storage elements.
The analysis of such circuits follows a systematic approach, similar to the second-order RLC circuits. In practical scenarios, bulky inductors are rarely employed due to their size and weight. This means...

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Related Experiment Video

Updated: May 18, 2026

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
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Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

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Passive phase noise cancellation scheme.

Eyal Kenig1, M C Cross, Ron Lifshitz

  • 1Kavli Nanoscience Institute and Condensed Matter Physics, California Institute of Technology, MC 149-33, Pasadena, California 91125, USA.

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

We developed a novel passive device using coupled nonlinear resonators to significantly reduce phase noise in oscillators. This method enhances frequency precision by creating a self-oscillating signal immune to driving oscillator noise.

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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

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Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
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Area of Science:

  • Physics
  • Electrical Engineering
  • Signal Processing

Background:

  • Phase noise in oscillators degrades frequency precision.
  • Conventional methods for noise reduction often require active feedback systems.

Purpose of the Study:

  • Introduce a new passive method for reducing oscillator phase noise.
  • Improve the frequency precision of oscillators.

Main Methods:

  • Utilized a passive device with coupled nonlinear resonating elements.
  • Parametrically drove the resonators with an external oscillator near the sum of linear mode frequencies.
  • Investigated self-oscillations above the parametric instability threshold.

Main Results:

  • Demonstrated a self-oscillating signal immune to phase noise from the driving oscillator.
  • Achieved significant reduction in phase noise, enhancing frequency precision.
  • Analyzed the impact of thermal noise on device performance and fundamental limits.

Conclusions:

  • The passive coupled resonator device effectively cleans phase noise from oscillators.
  • This method offers a promising alternative to active feedback for improving frequency stability.
  • Further research on thermal noise effects is crucial for understanding operating limits.