Computationally efficient incremental algorithms for application of the pseudoinverse method for ultrasound phased array field pattern synthesis are discussed and shown to significantly reduce computing effort when more control points should be added to existing subsets of points previously manipulated. Also these algorithms avoid calculation of inverse matrices, a time consuming job for microcomputers when the dimensions of the matrices are large. This technique can be used to recursively modify the heating patterns of a phased-array hyperthermia applicator in the clinic.
|Original language||English (US)|
|Number of pages||4|
|Journal||IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control|
|State||Published - May 1990|
Bibliographical noteFunding Information:
11. PSEIIDOINVFRSF. METHOD Assume that a phased array with )V elements. each of which may have a different complex surface particle velocity, is being used to control M points in the treatment volume. One can compute the pressure at any control point by summing all the contributions from Manuhcrtpt received July IO. 1989: re\ired and accepted Noscmber 1 I . 1989. This work %‘as funded in part by Grant CA44124 from the National Institulcs of Health and in part by Grant ECS 87001 from the National Ccnter for Supercompulcr Application5 (NCSA) at the University of 1111- nols. The authors arc with the Bioacouhtlcs Research Laboratory. Department of Electrical and Computer Engineering. University of Illinois at Urbana-Champaign, Urbana. IL. Thcy are now with the Bloengincering Program and Department of Electrical Engineerins and Computer Science. Univer-stty of Michigan. 3304 G. G. BrowniDow Conncctor. Ann .Arbor. MI 48109. IEEE Log Number 9034368.