Patent ID: 7058555

Claim:
A method for calculating maximum transducer power gain from a source whose impedance is a constant resistance to a load comprising the following steps: (a) inputting reflectance values qin as taken from said load and inputting corresponding frequency values fin over a selected frequency band that includes a plurality of disjoint frequency sub-bands defined by FGpts; (b) constructing a gain profile Gprofile from said fin values and said FGpts, (c) initializing a proposed maximum attainable transducer power gain value G from said Gprofile and a power gain parameter G 0 ; (d) computing a center function k from said G, said fin values and said qin values; (e) computing a radius function r 22 from said G, said fin values and said qin values; (f) resampling k and r 22 over a defined frequency grid; (g) extrapolating said resampled k and said resampled r 22 to smooth end points; (h) extending said extrapolated and smoothed k and said extrapolated and smoothed r 22 to negative frequencies; (i) determining whether G is attainable from said extended k and said extended r 22 ; (j) decrementing G 0 and continuing from step (c) if G is not attainable in step (i); and (k) outputting G once attainable from said extended k and said extended r 22 , wherein said outputted G is equated with said maximum transducer power gain.