Ultrasonic Array Pulse Grouping for Positioning Accuracy
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Solution Overview
Problem
Existing ultrasonic array systems face challenges in accurate element positioning due to manufacturing tolerances and high computational complexity, especially in mass-produced systems, which affects the reconstruction of scenes using compressive sensing techniques.
Innovation Solution
The system transmits pulses from a single transmitter to the scene, with multiple receivers capturing signals, forming separate linear systems that are solved independently to reconstruct the scene, allowing for robustness against positioning errors and reducing computational complexity by using a single pulse shape for all transmitters.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If multiple transmitters transmit pulses simultaneously with different pulse shapes, then more scene information can be captured, but hardware complexity and positioning accuracy requirements increase significantly
Solution Approach 1:
A single pulse shape is designed to be transmitted by all transmitters in the array, making the pulse waveform universal across different transmitter positions. This universal pulse shape enables the system to capture comprehensive scene information from multiple spatial locations without requiring complex per-transmitter pulse design, thereby reducing hardware complexity while maintaining information capture capability
Solution Approach 2:
The system changes the spatial parameters (transmitter position, receiver position) rather than modifying pulse shape parameters for each transmitter. By keeping the pulse shape constant and varying only the spatial configuration, the system achieves diverse scene information capture without increasing hardware complexity or positioning accuracy requirements
2Productivity
If multiple transmitters transmit pulses simultaneously, then scene reconstruction can be performed faster, but positioning accuracy becomes extremely difficult to maintain
Solution Approach 1:
The scene reconstruction process is segmented into multiple sequential phases, each involving a single transmitter transmission. By dividing the overall reconstruction task into discrete temporal segments where only one transmitter operates at a time, the system maintains simple positioning requirements for each segment while achieving complete scene coverage through the aggregation of all segmented measurements
Solution Approach 2:
Transmitters operate in periodic sequential fashion rather than simultaneous continuous operation. Each transmitter transmits pulses in periodic intervals, allowing the system to maintain low positioning accuracy requirements during each periodic transmission phase while achieving fast overall reconstruction through the periodic cycling of all transmitters
3Measurement precision
If convex optimization or greedy methods are used for reconstruction, then accurate scene recovery is achieved, but computational complexity becomes too high for embedded systems
Solution Approach 1:
The complex iterative optimization algorithms are extracted and removed from the embedded reconstruction system. Instead, a simplified direct computation method is implemented that extracts only the essential reconstruction operations needed for accurate scene recovery, eliminating the computationally intensive convex optimization and greedy search components while maintaining sufficient reconstruction accuracy for embedded deployment
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
This approach simplifies hardware design, improves positioning accuracy, and reduces computational complexity, enabling efficient scene reconstruction with less iterative processing, while maintaining coherency within each configuration instance.
Implementation Method 1
an ultrasonic array operating at 50 kHz has a wavelength of approximately 6.88 mm
Implementation Method 2
pulses are transmitted into a scene by an array of transducers... Received signals are sampled and decomposed
Data Source
AI summary
A scene is reconstructed by transmitting pulses into a scene from an array of transmitters so that only one pulse is transmitted by one transmitter at any one time. The one pulse is reflection by the scene and received as a set of signals. Each signal is sampled and decomposed to produce frequency coefficients stacked in a set of linear systems modeling a reflectivity of the scene. Then, a reconstruction method is applied to the set of linear systems. The reconstruction method solves each linear system separately to obtain corresponding solutions, which are shared and combined to reconstruct the scene.