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US 2017/0012664 A1Published application
Windowing methods and systems for use in time-frequency analysis
AssigneeAmerican University
InventorStephen D. Casey
Life of this patent
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Abstract
The present embodiments include methods of time-frequency analyzing signals. Some embodiments provide methods of processing signals comprising: adaptively partitioning at least a portion of a signal in a time domain into a plurality of segments of the signal; and transforming each of the segments of the signal producing respective expansions in a frequency domain and obtaining respective samples of the windows of signal in the frequency domain.
Claims20
A method of processing a signal, comprising:
- by one or more processors:
- adaptively partitioning at least a portion of a communication signal, in a time domain, into a plurality of segments of the signal;
- and
- transforming each of the segments of at least the portion of the signal producing respective expansions in a frequency domain and obtaining respective samples of the segments of the signal in the frequency domain while preserving orthogonality of basis elements in the segments, including regions of overlap.
1 more element
A method of processing a signal, comprising:
- by one or more processors:
- partitioning at least a portion of a signal, in a time domain, into a plurality of segments of the signal;
- and
- transforming each of the segments of at least the portion of the signal producing respective expansions in a frequency domain while preserving orthogonality between the segments including overlapping regions of two adjacent segments, wherein for each segment of the signal of the respective expansions are obtained through parallel processing obtaining in parallel respective samples of the segments of the signal in the frequency domain.
1 more element
A method of processing a signal, comprising:
- by one or more processors:
- partitioning at least a portion of a signal in a time domain into a plurality of segments of the signal;
- and
- transforming each of the segments of the signal producing respective expansions in a frequency domain and obtaining respective samples of the segments of signal in the frequency domain while preserving orthogonality in the region of overlap in the segments.
1 more element
A method of processing a signal, comprising:
- adaptively partitioning at least a portion of a communication signal in a time domain into a plurality of segments of the signal, wherein the adaptively partitioning comprises applying B-splines in constructing the basis windows of the signal;
- and
- transforming each of the segments of the signal producing respective expansions in a frequency domain and analyzing the transformed segments of the signal in the frequency domain.
Dependencies are inferred from the claim text.