Analog Channel Characterization for Amplitude and Phase Mismatch
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Solution Overview
Problem
Existing systems with multiple analog channels often exhibit residual processing differences that can lead to errors downstream, despite using identical electronic components.
Innovation Solution
A method and system for characterizing processing differences between analog channels by injecting specific periodic signals and applying a least squares method to estimate amplitude and phase shift parameters, allowing for compensation of these differences.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If the same electronic components are used in multiple analog channels, then manufacturing cost and device complexity are reduced, but residual processing differences still occur between channels
Solution Approach 1:
The patent applies parameter changes by measuring and characterizing the actual amplitude and phase parameters of each analog channel, then using these measured parameters to compensate for processing differences. The least squares method estimates parameters γk,l and δk,l that minimize the difference between channels, effectively adjusting the system to account for component variations without changing the physical components themselves.
2Device complexity
If residual processing differences between analog channels are not characterized, then system simplicity is maintained, but downstream errors increase
Solution Approach 1:
The patent implements preliminary action by characterizing and measuring the processing differences between analog channels before they cause downstream errors. The method performs least squares estimation of amplitude ratio γk,l and phase difference δk,l parameters in advance, creating a compensation profile that prevents errors from propagating through the system.
Solution Approach 2:
The patent uses feedback by measuring the actual output signals from each analog channel and using these measurements to determine compensation parameters. The least squares method processes the measured signals xk, xl, and yl to calculate γk,l and δk,l, which then feed back into the system to correct processing differences between channels.
3Measurement precision
If three periodic signals are injected for parameter estimation, then measurement precision of processing differences is improved, but measurement time and device complexity increase
Solution Approach 1:
The patent applies periodic action by using three periodic test signals with specific phase relationships (0°, 90°, and 180°) to efficiently extract amplitude and phase information. The periodic nature of these signals allows the least squares method to accurately determine γk,l and δk,l parameters through correlation analysis, achieving precise measurements in a time-efficient manner.
Data Source
AI summary
A method (100) for characterising processing differences between analog channels, the method comprising injecting (102) three analog signals into a first analog channel and a second analog channel, digitising (104) these signals so as to obtain digital signals xk, xl and yl having N samples, estimating (106) parameters γk,l and δk,l from the digital signals, where γk,l is a ratio between an amplitude of the first analog signal at the output of the first analog channel and an amplitude of the second analog signal at the output of the second analog channel, and where δk,l is a difference between a phase shift induced by the first analog channel in the first analog signal and a phase shift induced by the second analog channel in the second analog signal,the estimation comprising the application of a least squares method in order to determine values of the parameters γk,l and δk,l minimising the following quantity:∑n=1N (xk(n)-γk,l(cos(δk,l)xl(n)-sin(δk,l)yl(n)))2