Coupled Resonator Array With Variable Gain Bandwidth Tuning

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Solution Overview

Problem

Existing arrays of coupled resonators lack the ability to dynamically adjust their center frequency and bandwidth, making them inflexible in applications requiring tunable filtering or oscillation frequencies, especially in the presence of resonance frequency dispersions.

Innovation Solution

An array of coupled resonators with variable gain amplification means for each resonator, allowing for dynamic weighting of excitations to select resonance center frequency and bandwidth, utilizing electrostatic actuation and capacitive detection for NEMS or MEMS resonators, and incorporating feedback circuits for oscillator applications.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If a single resonator is used to provide bandpass filtering, then the quality factor Q is high, but the bandwidth is narrow

Engineering Contradiction:
Improvequality factorVSAvoidbandwidth
Core Design Contradiction:
ReliabilityVSAdaptability or versatility

Solution Approach 1:

The system segments a single high-Q resonator into multiple coupled resonators (first, second, and third resonators), each contributing to different aspects of the frequency response. This segmentation allows the overall system to achieve both high selectivity (from individual high-Q resonators) and extended bandwidth (from the combined response of multiple resonators coupled together).

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

Multiple resonators are merged into a coupled resonator array where their individual responses combine to create a broader overall bandwidth while maintaining the high quality factor characteristics of each individual resonator. The coupling between resonators allows energy to transfer across the array, effectively extending the usable bandwidth without sacrificing the high-Q advantage.

Inventive Principle:
Principle #5Merging (Combining)

2Volume of moving object

If NEMS/MEMS resonators are used to reduce bulk and enable integration, then the device size is reduced and integration is improved, but the complexity of achieving high quality factors and resonance frequencies increases

Engineering Contradiction:
Improvedevice sizeVSAvoidintegration complexity
Core Design Contradiction:
Volume of moving objectVSDevice complexity

Solution Approach 1:

The patent replaces mechanical coupling methods with electrical coupling using capacitive elements. Instead of mechanically connecting NEMS/MEMS resonators through physical bridges or supports, the invention uses electrical fields and capacitive coupling to achieve the same energy transfer and coupling effects, thereby simplifying the mechanical structure and reducing device bulk while maintaining high quality factors.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The coupled resonator array is designed to serve multiple functions simultaneously: filtering, frequency multiplication, and signal generation. The same array of NEMS/MEMS resonators can be configured to provide bandpass filtering with extended bandwidth while also generating multiple frequency components, reducing the need for separate dedicated components and simplifying overall system integration.

Inventive Principle:
Principle #6Universality (Multi-functionality)

3Adaptability or versatility

If arrays of coupled resonators are used to extend bandwidth, then the bandwidth is improved, but the ability to dynamically adjust center frequency and bandwidth is lost

Engineering Contradiction:
ImprovebandwidthVSAvoidfrequency tuning capability
Core Design Contradiction:
Adaptability or versatilityVSEase of operation

Solution Approach 1:

The patent introduces variable capacitors (tunable capacitors) into the coupling paths between resonators, allowing the coupling strength to be dynamically adjusted. This enables real-time control over the energy transfer between resonators, providing the ability to tune both the center frequency and bandwidth of the filter response dynamically, transforming a static structure into a dynamically adjustable system.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The invention changes the electrical parameters (capacitance values) of the coupling elements to control the system behavior. By varying the capacitance of the variable capacitors in the coupling paths, the coupling coefficient between resonators can be adjusted, thereby controlling the bandwidth and center frequency of the overall filter response without requiring physical reconfiguration of the resonator array.

Inventive Principle:
Principle #35Parameter changes

4Adaptability or versatility

If variable gain amplification means are added to each resonator for dynamic adjustment, then the tunability and signal-to-noise ratio are improved, but the device complexity and power consumption increase

Engineering Contradiction:
ImprovetunabilityVSAvoidamplification circuit complexity
Core Design Contradiction:
Adaptability or versatilityVSDevice complexity

Solution Approach 1:

The variable gain amplification circuits are merged with the resonator structures themselves, with each resonator having its amplifier integrated directly into its node. This integration allows the amplification function to be combined with the resonant function, reducing the need for separate discrete amplifier components and simplifying the overall circuit architecture while providing individual gain control for each resonator.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

Each resonator's variable gain amplifier is controlled by a control signal that is derived from or related to the resonator's own operation, allowing the resonator to effectively control its own amplification level. This self-service approach reduces the need for complex external control circuits and simplifies the overall control architecture while maintaining individual tunability of each resonator's contribution to the overall response.

Inventive Principle:
Principle #25Self-service

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Enables powerful tunable bandwidth filtering and oscillation applications with precise adjustment of center frequency and bandwidth, improving signal-to-noise ratio and reducing the impact of resonance frequency dispersions, while maintaining a compact and low-power design.

Implementation Method 1

utilizing electrostatic actuation and capacitive detection for NEMS or MEMS resonators

Methodology Applied
Scientific EffectElectrostatic actuation: Electrostatics

Implementation Method 2

Physically, the mechanical coupling between two NEMS/MEMS resonators is produced using a more or less rigid mechanical bridge

Methodology Applied
Scientific EffectMechanical coupling: Elasticity

Implementation Method 3

variable gain input amplification means for the actuation of this coupled resonator specific to this coupled resonator

Methodology Applied
Scientific EffectElectrical amplification:

Implementation Method 4

incorporating feedback circuits for oscillator applications

Methodology Applied
Scientific EffectFeedback: Feedback

Data Source

PatentUS8253514B2Array of coupled resonators, bandpass filter and oscillator
Publication Date: 2012.08.28 COMMISSARIAT A LENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
  • US8253514B2 patent drawing
  • US8253514B2 patent drawing
  • US8253514B2 patent drawing

AI summary

An array of coupled resonators including: an input unit that supplies an input electrical signal; an electrical excitation unit that electrically excites N coupled resonators of the array using the input electrical signal, wherein the electrical excitation unit includes, for each of the N coupled resonators, an actuator, connected to the input unit, that actuates a respective one of the N coupled resonators according to the input electrical signal, and a variable gain input amplifier that amplifies actuation of a respective one of the N coupled resonators; and a controller that controls a specific setting of a variable gain of each of the variable gain input amplifier.