Magnetic Parking Sensor Using Complex Number Polynomial Analysis
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Solution Overview
Problem
Current automated parking systems face challenges in accurately determining the availability of parking spaces due to the nonlinear nature of magnetic signal strength analysis, which is costly and requires complex computations, limiting their deployment and maintenance.
Innovation Solution
A magnetic parking sensor that detects geomagnetic values in three coordinates, maps them as complex numbers, and uses a defined polynomial to ascertain the availability state of a parking space, allowing for efficient determination of occupancy using a battery-operated microcontroller with limited computation capacity, without requiring laborious computations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional magnetic signal strength analysis methods are used, then measurement precision can be achieved, but device complexity and computational requirements increase significantly
Solution Approach 1:
The patent transforms the magnetic signal analysis from conventional Cartesian coordinate processing to complex number representation. By mapping the x and y components of magnetic field measurements to complex numbers (where x is the real part and y is the imaginary part), the system simplifies the mathematical operations required for occupancy detection. This parameter transformation enables the use of polynomial root-finding methods that are computationally more efficient than traditional nonlinear signal analysis, thereby reducing device complexity while maintaining measurement precision.
2Measurement precision
If complex computational methods are employed, then measurement precision improves, but energy consumption increases
Solution Approach 1:
The patent applies parameter transformation by representing magnetic signal components as complex numbers, which enables the use of efficient polynomial root-finding algorithms. This approach reduces the computational burden compared to conventional nonlinear signal processing methods, thereby lowering the energy consumption of battery-operated microcontrollers while maintaining accurate occupancy detection. The transformation to complex number space simplifies the mathematical operations required, directly addressing the energy efficiency concern.
3Measurement precision
If adaptive structures with reference measurements are used, then measurement precision can be maintained, but ease of operation deteriorates due to laborious computations
Solution Approach 1:
The patent simplifies the operational complexity by transforming magnetic signal processing into complex number arithmetic and polynomial root-finding. This parameter transformation converts laborious adaptive structure computations into more straightforward mathematical operations that can be efficiently executed by standard microcontrollers. The complex number representation allows for simplified multiplication, addition, and root-finding operations, making the system easier to operate while preserving measurement precision.
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
Enables accurate and energy-efficient determination of parking space availability, promoting long operating times and cost-effectiveness by simplifying operations and reducing computational complexity.
Implementation Method 1
a detection device for detecting geomagnetic measured values in the region of a parking space in three coordinates
Data Source
AI summary
A magnetic parking sensor including a detection device for detecting geomagnetic measured values in the region of a parking space in three coordinates; a first-in, first-out memory device into which the geomagnetic measured values are loadable; and an ascertainment device. The ascertainment device is configured to map the x and y components of the geomagnetic measured values into complex numbers, the complex numbers being ascertainable depending on the variability of the defined number of the geomagnetic measured values; to define a number system having a defined number of elements in accordance with the variability of the geomagnetic measured value and of the complex numbers; and to ascertain an availability state of the parking space by ascertaining a root λn of the polynomial λ3−(2n−1)λ2−(n−1)2λ−(n2+1), where n=variability of the geomagnetic measured values, λ=auxiliary variable of the number theory.