Optimization network for the decomposition of signals
First Claim
1. A circuit for determining a best fit to input signals with a selected set of basis functions ε
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k, which are signal functions of a preselected variable, said circuit comprising;
an N plurality of gain-providing amplifiers, where N is a chosen number with each amplifier Ai having an input terminal and output terminal; and
conductance devices of conductance value Tij, with each conductance device connecting said output terminal of amplifier Ai to the input terminal of amplifier Aj, i and j being subscripts that denote a particular of said amplifiers and conductance devices whereineach of said conductance values Tij is related to the dot product of the ith basis function ε
i and the jth basis function ε
j.
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Accused Products
Abstract
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.
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Citations
10 Claims
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1. A circuit for determining a best fit to input signals with a selected set of basis functions ε
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k, which are signal functions of a preselected variable, said circuit comprising;
an N plurality of gain-providing amplifiers, where N is a chosen number with each amplifier Ai having an input terminal and output terminal; and
conductance devices of conductance value Tij, with each conductance device connecting said output terminal of amplifier Ai to the input terminal of amplifier Aj, i and j being subscripts that denote a particular of said amplifiers and conductance devices whereineach of said conductance values Tij is related to the dot product of the ith basis function ε
i and the jth basis function ε
j. - View Dependent Claims (2, 3, 4)
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k, which are signal functions of a preselected variable, said circuit comprising;
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5. A circuit for decomposing an input signal comprising one or more input voltages in terms of a selected set basis functions ε
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k, that are signal functions of a preselected variable, said circuit including, a plurality of gain-providing amplifiers Ai where i is an index designating a particular amplifier in said plurality of amplifiers, said amplifier Ai having input and output terminals and said circuit including a first interconnection matrix for connecting the output terminal of each amplifier Ai to the input terminal of each other amplifier Aj via a conductance device having a conductance value Tij characterized by;
a second interconnection matrix for coupling a portion of a preselected bias voltage and a portion of said input voltages to said input terminal of each of said amplifiers. - View Dependent Claims (6, 7, 8)
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k, that are signal functions of a preselected variable, said circuit including, a plurality of gain-providing amplifiers Ai where i is an index designating a particular amplifier in said plurality of amplifiers, said amplifier Ai having input and output terminals and said circuit including a first interconnection matrix for connecting the output terminal of each amplifier Ai to the input terminal of each other amplifier Aj via a conductance device having a conductance value Tij characterized by;
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9. An A/D converter responsive to an input voltage comprising:
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a plurality of amplifiers Ai having input and output terminals and a first interconnection matrix for connecting the output terminal of each amplifier Ai to the input terminal of each other amplifier Aj via a conductance device of conductance value Tij that connects the output terminal of amplifier Ai to the input terminal of amplifier Aj, i and j being indices that designate particular amplifiers and conductances; a second interconnection matrix for connecting a preselected applied bias voltage -v and said input voltage to said input terminal of each of said amplifiers; wherein the value of each Tij is set to -2.sup.(i+j) for i≠
j and to 0 for i=j and wherein said second interconnection matrix connects said preselected bias voltage to said input terminal of amplifier Ai via a conductance having the value 2.sup.(2i-1) /v and connects said inputs voltage to said input terminal of amplifier Ai via a conductance having the value 2i.
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10. A circuit comprising a plurality of amplifiers, with each amplifier i having an input capacitor C, an input resistor ρ
- and developing an output signal Vi in response to an input signal ui at the amplifier'"'"'s input terminal, and a connection matrix for interconnecting the output signal Vi of each amplifier i to said input terminal of each of said amplifiers through a set of conductances of conductance value Tij, where j designates amplifier j to whose input Tij is connected, i and j being indices that designate particular amplifiers and conductances characterized by;
an input signal Ii being injected into said input terminals of each amplifier i; said amplifiers including means for controlling the magnitude of the gain developed by said amplifiers; the value of each conductance Tij selected for the nature of the decisional operation intended to satisfy the circuit equation of motion ##EQU14## and;
said circuit including means for varying said gain of said amplifiers.
- and developing an output signal Vi in response to an input signal ui at the amplifier'"'"'s input terminal, and a connection matrix for interconnecting the output signal Vi of each amplifier i to said input terminal of each of said amplifiers through a set of conductances of conductance value Tij, where j designates amplifier j to whose input Tij is connected, i and j being indices that designate particular amplifiers and conductances characterized by;
Specification