Singular value filter for imaging or detection

1. A system for use with a transducer array, the transducer array configured to deliver energy to a tissue region, the system comprising:

a processor circuit configured to:

obtain, using the transducer array, information indicative of the delivered energy reflected from the tissue region;

form respective input matrices representative of the obtained information indicative of the energy reflected from the tissue region, the respective input matrices including information corresponding to a spatial dimension and a temporal dimension, the input matrices respectively comprising an ensemble-of-interest and at least one ensemble corresponding to a spatial location nearby a spatial location corresponding to the ensemble-of-interest;

perform respective singular value decompositions on the respective input matrices to obtain respective sets of singular values corresponding to respective sets of singular vectors;

obtain respective output matrices including weighting a respective projection of a respective ensemble-of-interest onto at least one of the singular vectors included in a respective set of singular vectors; and

using the respective output matrices, at least one of determine a characteristic, or construct an image, of at least a portion of the tissue region.

2. The system of claim 1 , wherein the processor circuit is configured to obtain a respective output matrix including using an adaptively determined weighting function.

3. The system of claim 2 , wherein the processor circuit is configured to adaptively determine at least one respective weighting function for each respective output matrix, each respective output matrix corresponding to a respective input matrix.

4. The system of claim 2 , wherein the weighting function varies continuously between 0 and 1 without a discontinuity.

5. The system of claim 4 , wherein the weighting function includes a modified sigmoidal weighting function.

6. The system of claim 2 , wherein the weighting function is adaptively determined using information about at least one of the respective singular values.

7. The system of claim 2 , wherein the weighting function is adaptively determined at least in part using information about a motion complexity of a target in the tissue region.

8. The system of claim 2 , wherein the weighting function is adaptively determined to suppress or eliminate at least one of a clutter artifact or noise.

9. The system of claim 1 , wherein the processor circuit is configured to determine a characteristic at least a portion of the tissue region using the respective output matrices.

10. The system of claim 9 , wherein the characteristic includes a motion of a target located within the tissue region.

11. The system of claim 1 , wherein the ensemble-of-interest includes information corresponding to a depth dimension with respect to a transducer plane and a temporal dimension.

12. The system of claim 1 , wherein the processor circuit is configured to construct an image of at least a portion of the tissue region using the respective output matrices.

13. The system of claim 12 , wherein the respective ensembles-of-interest correspond to respective pixels included in an image frame; and

wherein the processor circuit is configured to construct the image by determining a filtered output matrix corresponding to respective pixels in the image frame using the respective weightings and the respective singular value decompositions.

14. The system of claim 1 , wherein the obtained information includes complex-valued samples of the echo information represented by real and imaginary parts; and

wherein the respective input matrices comprise complex-valued elements represented by real and imaginary parts.

15. The system of claim 1 , further comprising an ultrasonic transducer array configured to insonify the region of tissue using ultrasonic energy; and

wherein the obtained information indicative of the energy reflected from the tissue region comprises ultrasonic energy reflected from the insonified region.

16. A system for use with a transducer array, the transducer array configured to deliver energy to a tissue region, the system comprising:

a processor circuit configured to:

obtain, from the transducer array, information indicative of the delivered energy reflected from the tissue region;

form respective input matrices representative of the obtained information indicative of the energy reflected from the tissue region, the respective input matrices including information corresponding to a spatial dimension and a temporal dimension, the input matrices respectively comprising an ensemble-of-interest and at least one ensemble corresponding to a spatial location nearby a spatial location corresponding to the ensemble-of-interest;

perform respective singular value decompositions on the respective input matrices to obtain respective sets of singular values corresponding to respective sets of singular vectors;

obtain respective output matrices including weighting a respective projection of a respective ensemble-of-interest onto at least one of the singular vectors included in a respective set of singular vectors using a weighting function, including adaptively determining the weighting function using information about at least one of the respective singular values; and

using the respective output matrices, at least one of determine a characteristic, or construct an image, of at least a portion of the tissue region;

wherein the weighting function:

varies continuously between 0 and 1 without a discontinuity;

and

includes a modified sigmoidal weighting function.

17. A method, comprising:

obtaining, from a transducer array, information indicative of the delivered energy reflected from the tissue region;

forming respective input matrices representative of the obtained information indicative of the energy reflected from the tissue region, the respective input matrices including information corresponding to a spatial dimension and a temporal dimension, the input matrices respectively comprising an ensemble-of-interest and at least one ensemble corresponding to a spatial location nearby a spatial location corresponding to the ensemble-of-interest;

performing respective singular value decompositions on the respective input matrices to obtain respective sets of singular values corresponding to respective sets of singular vectors;

obtaining respective output matrices including weighting a respective projection of a respective ensemble-of-interest onto at least one of the singular vectors included in a respective set of singular vectors; and

using the respective output matrices, at least one of determining a characteristic, or constructing an image, of at least a portion of the tissue region.

18. The method of claim 17 , comprising obtaining a respective output matrix including weighting the respective projection using a weighting function using an adaptively determined weighting function.

19. The method of claim 18 , comprising adaptively determining at least one respective weighting function for each respective output matrix, each respective output matrix corresponding to a respective input matrix.

20. The method of claim 18 , wherein the weighting function varies continuously between 0 and 1 without a discontinuity.