Optimization network for the decomposition of signals
AssigneesAmerican Telephone and Telegraph Company, AT&T Bell Labs, Calif. Institute of Technology
InventorsJohn J. Hopfield, David W. Tank
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AssigneesAmerican Telephone and Telegraph Company, AT&T Bell Labs, Calif. Institute of Technology
InventorsJohn J. Hopfield, David W. Tank
Estimating the term…
A network comprising analog amplifiers with a resistive interconnection matrix that connects each amplifier output to the input of all other amplifiers. The connections embodied in the matrix are achieved with conductances whose values are computed in accordance with the set of decomposition functions for which the solution is sought. In addition to the specified connectivity implemented. Further included is a second matrix that connects externally applied voltages to the amplifier inputs via resistors whose values are also computed in accordance with the set of decomposition functions for which the solution is sought. Still further and in accordance with another aspect of the invention, means are included for varying the amplifier gains from an initial low value to an ultimately high value in the process of arriving at a solution to an applied problem.
A circuit for determining a best fit to input signals with a selected set of basis functions .epsilon..sub.k, which are signal functions of a preselected variable, said circuit comprising:
A circuit for decomposing an input signal comprising one or more input voltages in terms of a selected set basis functions .epsilon..sub.k, that are signal functions of a preselected variable, said circuit including, a plurality of gain-providing amplifiers A.sub.i where i is an index designating a particular amplifier in said plurality of amplifiers, said amplifier A.sub.i having input and output terminals and said circuit including a first interconnection matrix for connecting the output terminal of each amplifier A.sub.i to the input terminal of each other amplifier A.sub.j via a conductance device having a conductance value T.sub.ij characterized by:
An A/D converter responsive to an input voltage comprising:
A circuit comprising a plurality of amplifiers, with each amplifier i having an input capacitor C, an input resistor .rho. and developing an output signal V.sub.i in response to an input signal u.sub.i at the amplifier's input terminal, and a connection matrix for interconnecting the output signal V.sub.i of each amplifier i to said input terminal of each of said amplifiers through a set of conductances of conductance value T.sub.ij, where j designates amplifier j to whose input T.sub.ij is connected, i and j being indices that designate particular amplifiers and conductances characterized by:
Dependencies are inferred from the claim text.