Analog computer circuit for performing multiplication, division and square root

Claim 2

An analog computer circuit having an output voltage that is a function of first, second and third input signals comprising: a. first circuit means including an integrating circuit responsive to the first input signal and a comparator responsive to said integrating circuit and to the second input signal for generating a signal having a frequency proportional to the ratio of the amplitude of the first input signal to the amplitude of the second input signal by automatically resetting the circuit for another comparison immediately after each comparison is effected; and b. second circuit means responsive to said signal frequency and to the third signal for generating a signal having an amplitude that is proportional to the product of said ratio and the amplitude of the third input signal.

Claim 3

An analog computer circuit as recited in claim 1 wherein the amplitude of the first input signal equals the amplitude of the third input signal whereby the signal generated by the second circuit means is directly proportional to the square of the amplitude of thE first signal and inversely proportional to the amplitude of the second signal.

Claim 4

An analog computer circuit as recited in claim 1 wherein the second input signal is equal to the signal generated by the second circuit means whereby the amplitude of the signal generated by the second circuit means is directly proportional to the square root of the product of the amplitudes of the first and third input signals.

Claim 5

An analog computer circuit as recited in claim 1 wherein the second circuit means comprises: a. gate circuit means responsive to said signal frequency and to the third input signal for passing the third input signal to the gate circuit output for a fixed time period at a rate determined by said signal frequency; and b. filter circuit means responsive to the gate circuit output for averaging the gate circuit output signal.

Claim 6

An analog computer circuit as recited in claim 1 wherein the second circuit means comprises: a. trigger circuit means responsive to said signal frequency for generating a trigger pulse having a fixed time duration once during each cycle of said signal frequency; b. a filter circuit; and c. switch means responsive to the trigger pulse for selectively applying the third input signal to the filter for said fixed time duration, and a reference potential to the filter circuit during the remainder of each cycle of said signal frequency.

Claim 7

An analog computer circuit having an output voltage that is a function of first, second and third input signals comprising: a. first circuit means responsive to the first input signal for generating first and second signals of opposite polarity and having a magnitude proportional to the amplitude of the first input signal; b. second circuit means responsive to the second input signal for generating third and fourth signals of opposite polarity and having a magnitude proportional to the amplitude of the second input signal; c. integrating circuit means responsive selectively to the first and second signals for generating a fifth signal that is the time integral of the first and second signals; d. comparator circuit means having a first input responsive to the fifth signal and a second input responsive selectively to the third and fourth signals for generating a signal frequency having a first level when the signal at the first input is less than the signal at the second input, and a second level when the signal at the first input is greater than the signal at the second input; e. switch means responsive to the first comparator level for connecting the positive polarity signal of the first circuit to the integrating circuit and the positive polarity signal of the second circuit to the second input of the comparator circuit and responsive to the second comparator level for connecting the negative polarity signal of the first circuit to the integrating circuit and the negative polarity signal of the second circuit to the second input of the comparator circuit whereby the comparator output has a frequency that is proportional to the ratio of the amplitude of the first input signal to the amplitude of the second input signal; and f. third circuit means responsive to said signal frequency and the third input signal for generating a voltage that is proportional to the product of said ratio and the amplitude of the third input signal.

Claim 8

An analog computer circuit having an output voltage that is a function of first, second and third input signals comprising: a. first circuit means responsive to the first input signal for generating first and second signals of opposite polarity and having a magnitude proportional to the amplitude of the first input signal; b. second circuit means responsive to the second input signal for generating third and fourth signals of opposite polarity and having a magnitude proportional to the amplitude of the second input signal; c. integrating circuit means responsive selectively to the first and second signals for generating a fifth signal that is the time integral of the first and second signals; d. comparator circuit means having a first input responsive to the fifth signal and a second input responsive selectively to the third and fourth signals for generating a signal frequency having a first level when the signal at the first input is less than the signal at the second input, and a second level when the signal at the first input is greater than the signal at the second input; e. switch means responsive to the first comparator level for connecting the positive polarity signal of the first circuit to the integrating circuit and the positive polarity signal of the second circuit to the second input of the comparator circuit and responsive to the second comparator level for connecting the negative polarity signal of the first circuit to the integrating circuit and the negative polarity signal of the second circuit to the second input of the comparator circuit whereby the comparator output has a frequency that is proportional to the ratio of the amplitude of the first input signal to the amplitude of the second input signal; and f. third circuit means responsive to said signal frequency and the third input signal for generating a voltage that is proportional to the product of said ratio and the amplitude of the third input signal.

Claim 9

An analog computer circuit as recited in claim 6 wherein the amplitude of the first input signal equals the amplitude of the third input signal whereby the signal generated by the third circuit means is directly proportional to the square of the amplitude of the first signal and inversely proportional to the amplitude of the second signal.

Claim 10

An analog computer circuit as recited in claim 6 wherein the second input signal is equal to the signal generated by the third circuit means whereby the signal generated by the second circuit means is directly proportional to the square root of the product of the amplitudes of the first And third input signals.

Claim 11

An analog computer circuit as recited in claim 6 wherein the third circuit means comprises: a. gate circuit means responsive to said signal frequency and to the third input signal for passing the third input signal to the gate circuit output for a fixed time period at a rate determined by said signal frequency; and b. filter circuit means responsive to the gate circuit output for averaging the gate circuit output signal.

Claim 12

An analog computer circuit as recited in claim 6 wherein the third circuit means comprises: a. trigger circuit means responsive to said signal frequency for generating a trigger pulse having a fixed time duration once during each cycle of said signal frequency; b. a filter circuit; and c. switch means responsive to the trigger pulse for selectively applying the third input signal to the filter for said fixed time duration and for applying a reference potential to the filter circuit during the remainder of each cycle of said signal frequency.

Claim 13

An analog computer circuit having an output voltage that is a function of first, second and third input signals comprising: a. integrating circuit means responsive selectively to the first input signal and to a second signal, said second signal being of equal magnitude and of opposite polarity to the first input signal, for generating a third signal that is the time integral of the first input signal and the second signals; b. comparator circuit means having a first input responsive to the third signal and a second input responsive selectively to the second input signal and to a fourth signal, said fourth signal being of equal magnitude and of opposite polarity to the second input signal, for generating a signal frequency having a first level when the signal at the first comparator input is less than the signal at the second comparator input, and a second level when the signal at the first comparator input is greater than the signal at the second comparator input; c. switch means responsive to the first comparator level for connecting the positive polarized of said first input signal and said second signal to the integrating circuit and the positively polarized of said second input signal and said fourth signal to the second input of the comparator circuit and responsive to the second comparator level for connecting the negatively polarized of said first input signal and said second signal to the integrating circuit and the negatively polarized of said second input signal and said fourth signal to the second input of the comparator circuit whereby the comparator output has a frequency that is proportional to the ratio of the amplitude of the first input signal to the amplitude of the second input signal; and d. circuit means responsive to said signal frequency and the third input signal for generating a voltage that is proportional to the product of said ratio and the amplitude of the third input signal.

Claim 14

An analog computer circuit having an output voltage that is a function of first, second and third input signals comprising: a. integrating circuit means responsive selectively to the first input signal and to a second signal, said second signal being of equal magnitude and of opposite polarity to the first input signal, for generating a third signal that is the time integral of the first input signal and the second signals; b. comparator circuit means having a first input responsive to the third signal and a second input responsive selectively to the second input signal and to a fourth signal, said fourth signal being of equal magnitude and of opposite polarity to the second input signal, for generating a signal frequency having a first level when the signal at the first comparator input is less than the signal at the second comparator input, and a second level when the signal at the first comparator input is greater than the signal at the second comparator input; c. switch means responsive to the first comparator level for connecting the positive polarized of said first input signal and said second signal to the integrating circuit and the positively polarized of said second input signal and said fourth signal to the second input of the comparator circuit and responsive to the second comparator level for connecting the negatively polarized of said first input signal and said second signal to the integrating circuit and the negatively polarized of said second input signal and said fourth signal to the second input of the comparator circuit whereby the comparator output has a frequency that is proportional to the ratio of the amplitude of the first input signal to the amplitude of the second input signal; and d. circuit means responsive to said signal frequency and the third input signal for generating a voltage that is proportional to the product of said ratio and the amplitude of the third input signal.

Claim 15

An analog computer circuit as recited in claim 11 additionally comprising: a. first circuit means responsive to the first input signal for generating the second signal; and b. second circuit means responsive to the second input signal for generating the fourth signal.