Matrix spectral factorization for data compression, filtering, wireless communications, and radar systems
AssigneeUniversity of Maryland
InventorsAnthony Ephremides, Gigla Janashia, Lasha Ephremidze, Edem Lagvilava
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Abstract
A new apparatus, system, and technique for performing Matrix Spectral Factorization has been developed, which can factorize in real time high-dimensional matrices with high-order polynomial or non-rational entries. The method can be used for efficient implementation of engineering solutions to problems in Data Compression, Filtering, Wireless Communications, and Radar Systems, etc., which are computationally reducible to matrix spectral factorization.
Claims20
An apparatus, comprising:
- a receiver configured to receive a signal input describable with a high-dimensional matrix with high-order polynomial or non-rational entries;
- a processor configured to perform Wiener filtering on the received signal;
- and
- a transmitter configured to provide a real-time output of the filtering,
- wherein the Wiener filtering employs matrix spectral factorization.
An apparatus, comprising:
- receiving means for receiving a signal input describable with a high-dimensional matrix with high-order polynomial or non-rational entries;
- processing means for performing Wiener filtering on the received signal;
- and
- transmitting means for providing a real-time output of the filtering,
- wherein the Wiener filtering employs matrix spectral factorization.
A method, comprising:
- receiving a signal input describable with a high-dimensional matrix with high-order polynomial or non-rational entries;
- performing Wiener filtering on the received signal;
- and
- providing a real-time output of the filtering,
- wherein the Wiener filtering employs matrix spectral factorization.
A computer-readable medium encoded with instructions that, when executed on a computing device perform a process, the process comprising:
- receiving a signal input describable with a high-dimensional matrix with high-order polynomial or non-rational entries;
- performing Wiener filtering on the received signal;
- and
- providing a real-time output of the filtering,
- wherein the Wiener filtering employs matrix spectral factorization.
Dependencies are inferred from the claim text.