Joint Space-Time Array Manifold Vectors for Wideband Spectral Estimation
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Solution Overview
Problem
Conventional wideband spectral estimation techniques require channelization of input data, leading to errors when signal frequencies mismatch, and struggle with processing wideband signals that extend across channels, necessitating reconciliation before reporting angle of arrival.
Innovation Solution
The approach defines array manifold vectors in 4-dimensional space using the joint space-time relationship of electromagnetic waves, introducing a known random time delay in each channel and performing 4-dimensional processing, including Latin hypercube sampling and randomized channel-to-channel delays to form covariance matrices for improved spectral estimation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If conventional wideband spectral estimation techniques channelize input data, then processing can be performed on each channel separately, but errors occur when signal frequency does not match the array manifold vector frequency and wideband signals extending through channels require reconciliation
Solution Approach 1:
The patent merges spatial and temporal processing dimensions by defining array manifold vectors in 4-dimensional joint space-time. This combines the separate channel processing capability with accurate wideband signal estimation by treating space and time as integrated dimensions rather than separate operations.
Solution Approach 2:
The patent transitions from conventional 3-dimensional spatial processing to 4-dimensional joint space-time processing by adding the time dimension. This dimensional expansion allows the system to handle wideband signals across multiple channels simultaneously without requiring frequency matching or post-processing reconciliation.
2Measurement precision
If array manifold vectors are defined at a specific signal frequency, then spatial-spectral estimation can be performed, but errors arise when the signal frequency differs from the manifold vector frequency
Solution Approach 1:
The 4-dimensional joint space-time array manifold vectors serve multiple frequency components simultaneously, making the estimation technique universal across the entire wideband spectrum. A single manifold vector definition at each spatial-temporal point can handle signals across all frequency channels without requiring separate frequency-specific adjustments.
Solution Approach 2:
By adding the time dimension to create 4-dimensional manifold vectors, the system can capture frequency variations along the time axis. This allows accurate representation of wideband signals with varying frequencies without being constrained to a single frequency plane, thereby improving both precision and adaptability.
3Productivity
If wideband signals are processed in separate channels, then channel-specific processing can be performed, but the signals must be stitched back together or reconciled prior to reporting angle of arrival
Solution Approach 1:
The patent merges the processing of all channels into a unified 4-dimensional joint space-time framework. By treating channels as samples along the time dimension rather than separate entities requiring post-processing, the system eliminates the need for stitching or reconciliation operations while maintaining parallel processing efficiency.
Data Source
AI summary
Embodiments of systems and method for determining a joint space-time spectral estimate (P) for a wideband spectrum are generally described herein. To determine a joint space-time spectral estimate (P) for a wideband spectrum, a random time delay may be applied to received signals for each channel of a plurality of receive channels to generate time-delayed signals for each receive channel. The time-delayed signals may be sampled for each receive channel to generate time-delayed samples and form array manifold vectors based on the random time delays and position of each antenna element in an array of antenna elements. An inverse (Q) of the joint-space time spectral estimate (P) may be determined by projecting the array manifold vectors through a mixing matrix (M). The mixing matrix (M) may be based on the time-delayed samples. The joint space-time spectral estimate (P) may comprise spatial and temporal properties of the wideband spectrum.