Quartz Oscillator Frequency Correction Using Two-Point Temperature Modeling
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Solution Overview
Problem
Existing crystal oscillators face significant challenges in maintaining accurate and stable frequency due to environmental changes such as temperature, humidity, and vibration, leading to costly and time-consuming factory calibration processes for temperature-compensated crystal oscillators (TCXOs).
Innovation Solution
A method and system that measure temperature and frequency errors at two calibration points to estimate two parameters, allowing for the determination of a third-order polynomial model for the crystal oscillator, reducing the need for extensive factory calibrations and enabling self-correction after product assembly.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional factory calibration processes are used for TCXO, then frequency accuracy is improved, but manufacturing cost and time increase significantly
Solution Approach 1:
The patent applies preliminary action by pre-determining polynomial coefficients through measurements at only two temperature calibration points during product assembly. This preliminary calibration establishes a crystal model that can be used for frequency compensation across the full temperature range, eliminating the need for extensive factory calibration and enabling self-correction after product assembly.
Solution Approach 2:
The patent uses parameter changes by measuring frequency at only two temperature points and using these measurements to determine polynomial coefficients (parameters) that characterize the crystal's temperature-frequency relationship. These parameters are then used to calculate frequency compensation values across the entire operating temperature range, reducing calibration complexity while maintaining accuracy.
2Measurement precision
If traditional factory calibration processes are used for TCXO, then frequency accuracy is improved, but manufacturing cost increases
Solution Approach 1:
The patent applies preliminary action by pre-determining polynomial coefficients through measurements at only two temperature calibration points during product assembly. This preliminary calibration establishes a crystal model that can be used for frequency compensation across the full temperature range, eliminating the need for extensive factory calibration and enabling self-correction after product assembly.
Solution Approach 2:
The patent uses parameter changes by measuring frequency at only two temperature points and using these measurements to determine polynomial coefficients (parameters) that characterize the crystal's temperature-frequency relationship. These parameters are then used to calculate frequency compensation values across the entire operating temperature range, reducing calibration complexity while maintaining accuracy.
3Stability of the object's composition
If temperature compensation is implemented, then frequency stability under environmental changes is improved, but device complexity increases
Solution Approach 1:
The patent replaces complex mechanical temperature compensation mechanisms with a mathematical polynomial model. Instead of using physical components like voltage-controlled capacitors or temperature sensors that require analog circuitry, the system uses a polynomial equation with pre-determined coefficients to calculate frequency compensation values, which are then applied through digital control.
Solution Approach 2:
The patent transforms the physical temperature-frequency relationship into mathematical parameters (polynomial coefficients) that can be stored and processed digitally. By measuring only two calibration points and fitting a polynomial model, the complex temperature compensation function is reduced to simple parameter-based calculations.
4Measurement precision
If extensive temperature testing is performed on crystals, then frequency accuracy is improved, but productivity decreases
Solution Approach 1:
The patent applies preliminary action by pre-determining polynomial coefficients through measurements at only two temperature calibration points during product assembly. This preliminary calibration establishes a crystal model that can be used for frequency compensation across the full temperature range, eliminating the need for extensive factory calibration and enabling self-correction after product assembly.
Solution Approach 2:
The patent uses parameter changes by measuring frequency at only two temperature points and using these measurements to determine polynomial coefficients (parameters) that characterize the crystal's temperature-frequency relationship. These parameters are then used to calculate frequency compensation values across the entire operating temperature range, reducing calibration complexity while maintaining accuracy.
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
This approach significantly reduces manufacturing costs and improves frequency accuracy, allowing for improved temperature variation compensation and reduced errors, enabling crystals to be used effectively without extensive temperature testing, and simplifies the design of radio systems by providing initial frequency correction.
Implementation Method 1
measuring a first temperature of the test product and measuring a first frequency error of the crystal oscillator
Implementation Method 2
A crystal oscillator is an electronic oscillator circuit that uses mechanical resonance of a vibrating crystal of piezoelectric material to create an electrical signal with a certain frequency
Implementation Method 3
uses mechanical resonance of a vibrating crystal of piezoelectric material to create an electrical signal
Data Source
AI summary
A method and system for generating a crystal model for a test product including a crystal oscillator are herein disclosed. The method includes measuring a first temperature of the test product and measuring a first frequency error of the crystal oscillator at a first calibration point during a product testing process, measuring a second temperature of the test product and measuring a second frequency error of the crystal oscillator at a second calibration point during the product testing process, estimating two parameters from the first temperature, first frequency error, second temperature, and second frequency error, and determining a 3rd order polynomial for the crystal model based on the two parameters.