Hybrid Direction Finding Algorithm Resolving Phase Ambiguity

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Solution Overview

Problem

Current direction finding (DF) technologies face challenges with ambiguity in DF solutions at low signal-to-noise ratios (SNR) and require extensive computational resources, especially with longer antenna spacings, limiting their accuracy and practicality in real-time systems.

Innovation Solution

A hybrid method combining closed form and estimation techniques to determine direction finding (DF) solutions, using a closed form algorithm for initial integer solutions and adjacent solutions to refine the results, scaling and evaluating deviations to select the most accurate solution, thereby reducing computational requirements and improving accuracy across various SNR levels.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If longer antenna spacing is used, then DF accuracy is improved, but the physical space required on the airframe increases

Engineering Contradiction:
ImproveDF accuracyVSAvoidairframe space
Core Design Contradiction:
Measurement precisionVSArea of stationary object

Solution Approach 1:

The patent segments the DF solution process into multiple computational stages: initial integer solution determination, adjacent integer solution generation, extended phase solution calculation, and iterative refinement. This segmentation allows the system to achieve high DF accuracy through computational complexity rather than physical antenna spacing, thereby reducing the required airframe space while maintaining measurement precision.

Inventive Principle:
Principle #1Segmentation

2Speed

If closed form algorithm is used for real-time DF calculation, then calculation speed is improved, but ambiguity in DF solutions increases at low SNR

Engineering Contradiction:
Improvecalculation speedVSAvoidDF solution accuracy
Core Design Contradiction:
SpeedVSReliability

Solution Approach 1:

The patent applies preliminary action by first determining an initial integer solution using the closed form algorithm, then using this preliminary result to generate and evaluate multiple adjacent integer solutions. This preliminary step provides a starting point that guides the subsequent refinement process, maintaining calculation speed while reducing ambiguity at low SNR through iterative validation.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent implements feedback mechanisms by calculating extended phase solutions from adjacent integer solutions, comparing them against measured phase values, and iteratively refining the DF solution based on deviation metrics. This feedback loop allows the system to correct ambiguities introduced by the closed form algorithm while maintaining real-time performance.

Inventive Principle:
Principle #23Feedback

3Measurement precision

If multiple baselines with longer spacing are implemented, then DF accuracy is improved, but device complexity increases

Engineering Contradiction:
ImproveDF accuracyVSAvoidantenna array configuration
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent changes the parameter space by working with extended phase values and integer solutions rather than directly processing raw phase measurements from multiple baselines. This parameter transformation simplifies the computational handling of multiple baseline data, allowing the system to achieve high DF accuracy without requiring complex antenna array configurations.

Inventive Principle:
Principle #35Parameter changes

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

The hybrid method achieves accurate DF solutions with reduced computational resources, enhancing sensitivity and reducing ambiguity, especially at low frequencies, with significant improvements in theoretical sensitivity and operational performance compared to standard algorithms.

Implementation Method 1

determining the bearing to the signal based on an analysis of a phase shift between the signals received by the separate antennas comprising the array

Methodology Applied
Scientific EffectPhase shift:

Data Source

PatentUS9057776B1Hybrid estimation DF algorithm
Publication Date: 2015.06.16 ROCKWELL COLLINS INC
  • US9057776B1 patent drawing
  • US9057776B1 patent drawing
  • US9057776B1 patent drawing

AI summary

A hybrid method and system is disclosed for determining a direction finding (DF) to a received radio frequency (RF) signal. The method employs a linear interferometer array to receive and measure electrical phase differences in a received RF signal. A closed form analysis of the phase differences produces a first integer solution to which the method adds a plurality of offset values to produce a corresponding plurality of offset integer solutions. The number of offset values is proportional to the length of the baseline of the antenna array. These offset integer solutions are evaluated based on their deviation from measured phase differences by the array. Of the first integer solution and the offset integer solutions, one solution is selected based on a minimum deviation from the measured phase differences. The selected solution is output to a higher level processor and further displayed to an operator as the correct DF solution.