Coprime Array DOA Estimation via Virtual Domain Reconstruction

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Solution Overview

Problem

Existing direction-of-arrival estimation methods for coprime arrays face challenges with limited degrees of freedom, high deployment costs, large power consumption, and computational complexity, especially in massive MIMO systems, due to the use of uniform arrays and idealized signal sampling processes, which are impractical and lead to performance losses and model mismatches.

Innovation Solution

A method for estimating the direction-of-arrival of coprime arrays based on virtual domain statistics reconstruction of single-bit quantized signals, utilizing a coprime array with M+N−1 antennas and single-bit ADCs, modeling the signal, calculating equivalent virtual signals, constructing an augmented covariance matrix, and optimizing the signal processing to integrate the advantages of coprime and single-bit processing, thereby overcoming the limitations of traditional methods.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If uniform arrays with idealized signal sampling are used, then the direction-of-arrival estimation can be performed with simple processing, but the degree of freedom is limited by the number of antenna elements and the system suffers from high deployment cost and large power consumption

Engineering Contradiction:
Improvedirection-of-arrival estimation accuracyVSAvoidsystem deployment complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent divides the uniform array into a coprime array structure consisting of two sparse subarrays with coprime spacings. This segmentation allows the system to achieve virtual array processing that increases degrees of freedom beyond the physical number of antenna elements, thereby improving direction-of-arrival estimation capability while reducing deployment complexity

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent transforms the physical array domain into a virtual array domain through coprime array processing. By exploiting the coprime spacing relationship between subarrays, the system creates a virtual extended array that provides additional spatial degrees of freedom without adding physical antennas, effectively adding a dimensional aspect to the signal processing

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Adaptability or versatility

If the number of antenna elements is increased to handle more signal sources, then the degree of freedom increases, but the deployment cost, power consumption, and computational complexity increase significantly

Engineering Contradiction:
Improvenumber of distinguishable signal sourcesVSAvoidpower consumption
Core Design Contradiction:
Adaptability or versatilityVSUse of energy by moving object

Solution Approach 1:

The patent creates a virtual copy of the array structure through coprime array processing. The virtual array generated from the coprime spacing relationship provides additional spatial samples that mimic having more physical antennas, allowing the system to distinguish more signal sources without actually deploying additional antenna elements, thus avoiding the associated power consumption and cost increases

Inventive Principle:
Principle #26Copying

3Ease of manufacture

If single-bit quantization is used to reduce system cost and power consumption, then the deployment cost and power consumption decrease, but the quantization error increases and the existing methods are limited by uniform array bottleneck

Engineering Contradiction:
Improvesystem costVSAvoidsignal processing accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent combines two previously separate technologies - coprime array structure and single-bit quantization processing - into a unified system. The coprime array's virtual domain processing capabilities compensate for the information loss from single-bit quantization, while the low-bit quantization provides the cost and power consumption benefits, creating a composite solution that achieves both goals simultaneously

Inventive Principle:
Principle #40Composite materials

4Measurement precision

If existing single-bit massive MIMO systems with uniform arrays are used, then the quantization error is reduced through low-bit ADC, but the degree of freedom remains limited by the uniform array structure

Engineering Contradiction:
Improvequantization accuracyVSAvoiddegree of freedom
Core Design Contradiction:
Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The patent merges the advantages of coprime array structure (high degree of freedom through virtual array processing) with single-bit quantization benefits (low cost and power consumption). The integration allows the system to achieve both high adaptability for multiple signal sources and measurement precision through the synergistic combination of these two technologies

Inventive Principle:
Principle #5Merging (Combining)

Data Source

PatentUS11567161B2Method for estimating the direction-of-arrival of a coprime array based on virtual domain statistics reconstruction of single-bit quantized signal
Publication Date: 2023.01.31 ZHEJIANG UNIV
  • US11567161B2 patent drawing
  • US11567161B2 patent drawing

AI summary

The invention discloses a method for estimating the direction-of-arrival of a coprime array based on virtual domain statistics reconstruction of single-bit quantized signal. The realization steps are as follows: arranging a coprime array and a single-bit analog-to-digital converter at a receiving end; calculating equivalent virtual signal corresponding to a single-bit receipt signal of the coprime array; constructing a virtual domain augmented covariance matrix of an initialized single-bit quantized signal; designing, based on statistical correlation analysis between statistics of the single-bit quantized signal and the original unquantized signal, an optimization problem based on virtual domain statistics reconstruction of quantized signal; and performing direction-of-arrival estimation by utilizing the virtual domain augmented covariance matrix corresponding to the optimized single-bit quantized signal.