Frequency Response Measurement Using Sliding Window Correlation

Solution Overview

Problem

Current frequency response measurement techniques are complex and require significant computational power, limiting their use for real-time monitoring of dynamic circuits and objects due to the need for sophisticated full spectral Fourier analysis in every short-time window.

Innovation Solution

The method involves generating an excitation signal with a fast-changing frequency, analyzing the response signal in a short sliding time-domain window using sine and cosine wave chirp signals or their Hilbert transform, allowing for adaptive adjustment of the analysis window and excitation signal amplitude to simplify and improve frequency response measurements with reduced computational needs.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If full spectral Fourier analysis is carried out in every short-time window, then frequency response measurement accuracy is improved, but device complexity and computational power requirements increase significantly

Engineering Contradiction:

Improvefrequency response measurement accuracyVSAvoidcomputational complexity

Core Design Contradiction:

Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the frequency spectrum into multiple frequency bands, and performs correlation analysis separately for each band using band-pass filters. This divides the complex full-spectral analysis into simpler parallel tasks, reducing computational complexity while maintaining measurement accuracy across the entire frequency range.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

Instead of performing complete Fourier analysis across the entire spectrum in every time window, the patent applies partial action by using correlation analysis with selective frequency weighting functions. This provides sufficient frequency response information for each band without the excessive computational burden of full spectral analysis.

Inventive Principle:

Principle #16Partial or excessive action

2Measurement precision

If full spectral Fourier analysis is performed in every short-time window, then frequency response measurement accuracy is improved, but power consumption increases

Engineering Contradiction:

Improvefrequency response measurement accuracyVSAvoidpower consumption

Core Design Contradiction:

Measurement precisionVSUse of energy by moving object

Solution Approach 1:

The patent segments the frequency spectrum into multiple frequency bands, and performs correlation analysis separately for each band using band-pass filters. This divides the complex full-spectral analysis into simpler parallel tasks, reducing computational complexity while maintaining measurement accuracy across the entire frequency range.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

Instead of performing complete Fourier analysis across the entire spectrum in every time window, the patent applies partial action by using correlation analysis with selective frequency weighting functions. This provides sufficient frequency response information for each band without the excessive computational burden of full spectral analysis.

Inventive Principle:

Principle #16Partial or excessive action

3Measurement precision

If correlation analysis is carried out over the full measurement cycle, then measurement accuracy is improved, but the ability to capture dynamic changes in real-time is lost

Engineering Contradiction:

Improvemeasurement accuracyVSAvoidreal-time response speed

Core Design Contradiction:

Measurement precisionVSSpeed

Solution Approach 1:

The patent segments both time and frequency domains by applying short-time sliding windows combined with frequency band segmentation. This allows correlation analysis to be performed over shorter time intervals for each frequency band, capturing dynamic changes while maintaining adequate measurement accuracy through the accumulated correlation results across multiple windows.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The patent implements dynamic adaptation by adjusting the weighting functions and analysis parameters based on the instantaneous frequency content of the excitation signal. This allows the system to optimize between time resolution and frequency resolution dynamically, capturing fast changes when they occur while maintaining accuracy.

Inventive Principle:

Principle #15Dynamics

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 enables more accurate and efficient frequency response measurements with lower power consumption, enabling real-time monitoring of dynamic objects and circuits using simpler electronic devices.

Implementation Method 1

analyzing said response signal in a signal analyzer by correlating said response signal with said at least one reference signal during a relatively short sliding time-domain window

Methodology Applied

Scientific EffectCorrelation:

Data Source

PatentUS8854030B2Method and device for frequency response measurement

Publication Date: 2014.10.07 ELIKO TEHNOLOOGIA ARENDUSKESKUS

AI summary

A method is provided for measuring a frequency response of an object, the method involving: generating an excitation signal having relatively fast changing frequency, defined by a time-domain function; generating at least one reference signal, having a waveform corresponding to the excitation signal; introducing the excitation signal into the object, receiving a response signal from the object; analyzing said response signal in a signal analyzer by correlating the response signal with at least one reference signal during a relatively short sliding time-domain window.