Signal Detection System Using Mathematical Wave Field Models
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Solution Overview
Problem
Current systems for three-dimensional multiple signal tracking and reconstruction, particularly in applications like search and rescue, surveillance, and seismic monitoring, face challenges in accurately determining the direction and characteristics of signals in complex environments with multiple sources and interference.
Innovation Solution
The system employs a method of constructing mathematical models of physical wave fields using signal vectors, which are derived from antenna arrays and electronic signal processing, allowing for the characterization of incoming signals and the simultaneous transmission of spectrally competitive signals into resolvable directions, minimizing interference.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional beamforming and triangulation methods are used to track multiple signals, then the system can operate with simpler hardware, but measurement precision deteriorates in spectrally competitive environments with multiple sources
Solution Approach 1:
The patent replaces conventional mechanical beamforming approaches with a mathematical field-based system. Instead of using physical antenna arrays with complex spatial processing, the invention uses a single transducer with a mathematical model of the physical wave field that incorporates direction-dependent transfer functions. This substitution of mechanical/spatial systems with mathematical field models achieves high measurement precision while reducing hardware complexity.
Solution Approach 2:
The patent transforms the signal processing approach by changing from spatial domain processing (multiple antennas, beamforming) to spectral domain processing (frequency-dependent transfer functions). The direction determination is achieved by analyzing spectral characteristics and applying mathematical transformations to the transfer function parameters, enabling accurate tracking in spectrally competitive environments without requiring complex hardware arrays.
2Productivity
If multiple signals are transmitted simultaneously in the same frequency band, then spectral efficiency improves, but signal interference increases making detection difficult
Solution Approach 1:
The patent implements a feedback mechanism where the system continuously monitors the physical wave field and uses the mathematical model to predict and compensate for interference effects. By analyzing the spectral characteristics of received signals and comparing them with predicted transfer functions, the system can identify and separate multiple simultaneous signals, enabling high spectral efficiency while maintaining detection accuracy through active interference management.
Solution Approach 2:
The patent segments the spectral domain into multiple resolvable frequency components using the mathematical field model. By decomposing the composite signal into its spectral constituents and applying direction-dependent transfer functions to each frequency component, the system can separate and track multiple signals transmitted simultaneously in the same frequency band, effectively managing interference while maximizing spectral utilization.
Data Source
AI summary
A method and system for determination of the trajectory, miss distance, and velocity of a projectile using an antenna array. The present invention also includes a method and system for extracting signal vectors of simultaneously spectrally competitive component fields from resolvable transmitters; a method and system for relaying simultaneous and spectrally competitive signals from a set of transmitters on a common channel and simultaneously rebroadcasting such signals over another channel to resolvable receivers generally as a composite field; and a method and system for increasing the spectral efficiency of a cellular phone system.