Chirp Frequency Response Analysis Using Angular Domain Resampling
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Solution Overview
Problem
Current testing methods for devices and components, such as audio devices, are time-consuming, limiting production rates due to inefficiencies in analyzing frequency responses, particularly with log chirp signals, as they often rely on time-domain Fourier transform analyses that struggle with rapidly changing frequencies.
Innovation Solution
A system and method that convert time-domain responses to angular domains for filtering and analysis, allowing for the separation and examination of fundamental and harmonic tones, including order tracking and power spectrum analysis, enabling faster and more flexible testing by resampling and subtractive analysis.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If time-domain Fourier transform analysis is used for log chirp signals, then frequency response can be obtained, but testing time is excessive and production rate is limited
Solution Approach 1:
The patent transforms the analysis from time-domain to angular-domain by changing the parameter domain. This involves resampling the time-domain response at angles corresponding to the chirp signal frequency progression, converting the rapidly varying frequency signal into a stationary representation where standard filtering and spectral analysis can be applied efficiently, thereby reducing testing time while maintaining accuracy
Solution Approach 2:
The patent introduces an angular-domain representation as an intermediary step between time-domain acquisition and frequency-domain analysis. This intermediate domain allows for efficient filtering and spectral analysis of chirp responses, avoiding the computational burden of direct time-domain Fourier transform while preserving measurement precision
2Reliability
If comprehensive frequency response analysis is performed, then complete device characterization is achieved, but testing complexity and time increase
Solution Approach 1:
The patent segments the frequency response analysis into distinct angular-domain components, allowing separate filtering and analysis of different frequency ranges. This segmentation enables comprehensive characterization while simplifying the overall process by breaking it into manageable, parallelizable steps that can be processed more efficiently
Data Source
AI summary
Log chirp testing where a log chirp may be provided to a device under test and a first time domain response from the device under test may be received. The first time domain response may be in the time domain. The first time domain response may be converted to the angular domain to create an angular domain response. Converting to the angular domain response may include resampling the time domain response from the time domain to the angular domain. The angular domain response may be filtered and/or analyzed. The angular domain response may be converted to a second time domain response. Similar to above, the conversion may include resampling the angular domain response from the angular domain to the time domain. The first time domain response and the second time domain response may be analyzed. Testing results of the device under test may be generated and stored based on said analyzing.