Devices and methods for hermetic transform filters
AssigneeVertoCOMM, Inc.
InventorHarvey C. Woodsum
Life of this patent
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Abstract
In one or more exemplary embodiments, a method comprises applying one or more first hermetic filters to an interval of data to produce one or more first filtered subintervals of data, wherein the one or more first hermetic filters are constructed from a hermetic function for the interval; and applying one or more second hermetic filters to the one or more first filtered subintervals of data to produce one or more second filtered subintervals of data, wherein the one or more second hermetic filters are constructed from a hermetic function for the one or more first filtered subintervals.
Claims17
A method of signal filtering comprised of a plurality of processing stages, achieving successively greater frequency resolution at each of the plurality of processing stages, and employing Hermetic Transforms within each of the plurality processing stages, comprising:
- applying in a first stage, using one or more processors, one or more first-stage hermetic filters to an interval of sampled data and applying spectral shaping using Hermetic Transforms, complex weight matrices, and Hermetic Transform Pseudo-Inverse matrices to produce one or more filtered subintervals of data, wherein the one or more first-stage hermetic filters are constructed from a hermetic function of frequencies present in signals contained within the first interval;
- and
- applying in a second stage, using the one or more processors, one or more second-stage hermetic filters to the one or more first filtered subintervals of data to produce one or more second filtered subintervals of data, wherein the one or more second hermetic filters are constructed from a hermetic function of frequencies present within the one or more first filtered subintervals,
- wherein a frequency resolution achieved in the second stage is greater than a frequency resolution achieved in the first stage.
A signal filtering device for signal filtering comprised of a plurality of processing stages, achieving successively greater frequency resolution at each of the plurality of processing stages, and employing Hermetic Transforms within each of the plurality of processing stages, comprising:
- memory storing instructions;
- one or more processors configured to execute the instructions to cause:
- one or more first-stage hermetic filters in a first stage to produce one or more first filtered subintervals of data based on to an interval of sampled data and by applying spectral shaping using Hermetic Transforms, complex weight matrices, and Hermetic Transform Pseudo-Inverse matrices, wherein the one or more first-stage hermetic filters are constructed from a hermetic function of frequencies present in signals contained within the first interval;
- and
- one or more second-stage hermetic filters to produce one or more second filtered subintervals of data based on the one or more first filtered subintervals of data, wherein the one or more second-stage hermetic filters are constructed from a hermetic function of frequencies present in signals contained within the second interval for the one or more first filtered subintervals,
- wherein a frequency resolution achieved in the second stage is greater than a frequency resolution achieved in the first stage.
Dependencies are inferred from the claim text.