Compressive Measurement Filtering for Orthogonal Interference Cancellation
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Solution Overview
Problem
Existing signal processing methods face challenges in efficiently removing interference from compressive measurements while preserving the information of interest, especially when the interference is unknown or resides in a subspace orthogonal to the signal of interest.
Innovation Solution
A method and apparatus that process compressive measurements by projecting them into an orthogonal subspace to eliminate or attenuate interference, using a δ-stable embedding matrix Φ that ensures the preservation of signal information, allowing for direct recovery or further processing of the signal of interest.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If compressive measurements are used to capture signals, then the number of measurements is reduced and processing efficiency is improved, but interference removal becomes more difficult and signal fidelity deteriorates
Solution Approach 1:
The patent extracts and removes interference components from compressive measurements by identifying and eliminating signals residing in known subspaces. The method separates the measured signal into desired signal components and interference components, then removes the interference to recover the desired signal with improved fidelity despite using fewer measurements than traditional methods.
2Object-affected harmful factors
If adaptive filter modification is used to cancel interference, then interference removal capability is improved, but system complexity and processing time increase
Solution Approach 1:
The patent changes the approach from adaptive filter modification in the time domain to subspace projection in the transform domain. By transforming the interference cancellation problem into a subspace decomposition task, the method achieves effective interference removal through mathematical projection operations rather than iterative adaptive filtering, reducing processing complexity while maintaining cancellation effectiveness.
3Object-affected harmful factors
If complete signal estimation is performed before interference removal, then interference cancellation accuracy is improved, but computational cost and processing time increase
Solution Approach 1:
The patent performs preliminary decomposition of the compressive measurements into signal subspaces and interference subspaces before attempting interference removal. By pre-identifying the subspace structure and projecting measurements onto appropriate subspaces, the method prepares the data in advance for efficient interference elimination, avoiding the need for complete signal estimation followed by cancellation.
Data Source
AI summary
A method for compressive domain filtering and interference cancelation processes compressive measurements to eliminate or attenuate interference while preserving the information or geometry of the set of possible signals of interest. A signal processing apparatus assumes that the interfering signal lives in or near a known subspace that is partially or substantially orthogonal to the signal of interest, and then projects the compressive measurements into an orthogonal subspace and thus eliminate or attenuate the interference. This apparatus yields a modified set of measurements that can provide a stable embedding of the set of signals of interest, in which case it is guaranteed that the processed measurements retain sufficient information to enable the direct recovery of this signal of interest, or alternatively to enable the use of efficient compressive-domain algorithms for further processing. The method and apparatus operate directly on the compressive measurements to remove or attenuate unwanted signal components.