Single-Frequency Receiver Cycle Slip Detection via Cross-Channel Ratios
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Solution Overview
Problem
Existing methods for detecting cycle slips (CS) in multi-channel receivers, particularly in urban environments, are limited by the need for expensive equipment, reliance on prior position estimates, and difficulties in real-time processing, especially when using single frequency carriers.
Innovation Solution
A device and method for detecting CS using cross ratios between channels, involving a plurality of sensors arranged on the same plane, with signal processing and data processing units to calculate and detect changes in cross ratios, and a change detection unit to identify differences, utilizing geometric relationships and thresholds.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If expensive receivers with multiple frequencies are used to detect cycle slips, then detection accuracy is improved, but device cost increases
Solution Approach 1:
The patent employs a low-cost single-frequency receiver instead of expensive multi-frequency receivers, achieving cycle slip detection through software-based cross-ratio calculations on standard hardware. This replaces costly physical equipment with computationally efficient algorithms.
Solution Approach 2:
The patent substitutes hardware-based multi-frequency processing with software-based cross-ratio analysis on single-frequency carrier measurements. The detection mechanism transitions from physical multi-frequency signal processing to mathematical relationship analysis of single-frequency data.
2Measurement precision
If carrier wave measurements are used to estimate position for CS detection, then detection capability is improved, but the requirement for prior position knowledge increases system complexity
Solution Approach 1:
The cross-ratio-based detection method is self-contained and does not require external position information or auxiliary systems. The algorithm uses only the carrier measurements from the receiver itself, making the detection system autonomous and independent of prior position knowledge.
Solution Approach 2:
The patent extracts the essential geometric relationship (cross-ratio) from the carrier measurements that is invariant to position changes. By isolating this position-independent characteristic, the method eliminates the requirement for prior position estimation while maintaining detection capability.
3Measurement precision
If RANCO technique is used to compute all combinations for finding normal channels, then CS detection accuracy is improved, but real-time processing capability deteriorates
Solution Approach 1:
The patent extracts only the necessary cross-ratio relationships from the full set of channel combinations, avoiding computationally intensive exhaustive searches. This selective extraction maintains detection accuracy while dramatically reducing processing requirements for real-time operation.
Solution Approach 2:
The patent transforms the detection approach by changing the parameter from comparing all channel combinations to analyzing cross-ratio invariants. This parameter transformation reduces computational complexity from factorial to polynomial time, enabling real-time processing.
4Ease of operation
If code measurements are used for position determination, then position estimation is simplified, but CS detection precision deteriorates due to large noise
Solution Approach 1:
The patent combines carrier phase measurements with code-based position determination, creating a composite approach where each component serves its strength. The code provides simple position estimation while the carrier cross-ratios provide precise cycle slip detection, achieving both simplicity and precision.
Data Source
AI summary
A device for detecting a difference between signals in multiple channels, according to the present invention, may comprise: a plurality of sensors which are arranged geometrically on the same plane, and which detect a plurality of signals transmitted through a plurality of channels respectively corresponding to a plurality of sources, so as to output raw time series measurements for each channel, the plurality of sensors simultaneously measuring signals transmitted through any one of the plurality of channels; a signal processing unit, which process the raw time series measurements for each channel that is output from each of the plurality of sensors, so as to generate processed time series measurements; an data processing unit which calculates a crossing rate for each channel by using the processed time series measurements corresponding to two sensors selected from the plurality of sensors, and which connects the crossing rate between the plurality of sensors; and a change detection unit for detecting a channel in which a signal difference occurs in the crossing rate for each channel.