Square root extractor
First Claim
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1. A control system comprising:
- a linear controller that outputs a first signal;
a first multiplier having a first input coupled to receive the first signal;
a first summer having a first input coupled to an output of the first multiplier;
a scaler having an input coupled to an output of the first summer;
a first delay having an input coupled to an output of the scaler and an output coupled to a second input of the first summer, the output of the first delay providing a second signal that is a square root of the first signal;
a second multiplier having a first input coupled to the output of the first delay;
a second summer having a first input coupled to an output of the second multiplier and a second input coupled to a constant;
a third multiplier having a first input coupled to an output of the second summer and an output coupled to a second input of the first multiplier;
a second delay having an input coupled to an output of the third multiplier and having an output coupled to second inputs of the second and third multipliers; and
, a non-linear instrument coupled to receive the second signal, wherein the second signal is a pre-distorted form of the first signal such that the non-linear instrument provides a linear output with respect to the first signal.
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Abstract
A square root extractor includes only multipliers, summers, delay elements, and a scaler so that the square root of a signal may be produced without complex computations.
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Citations
20 Claims
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1. A control system comprising:
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a linear controller that outputs a first signal;
a first multiplier having a first input coupled to receive the first signal;
a first summer having a first input coupled to an output of the first multiplier;
a scaler having an input coupled to an output of the first summer;
a first delay having an input coupled to an output of the scaler and an output coupled to a second input of the first summer, the output of the first delay providing a second signal that is a square root of the first signal;
a second multiplier having a first input coupled to the output of the first delay;
a second summer having a first input coupled to an output of the second multiplier and a second input coupled to a constant;
a third multiplier having a first input coupled to an output of the second summer and an output coupled to a second input of the first multiplier;
a second delay having an input coupled to an output of the third multiplier and having an output coupled to second inputs of the second and third multipliers; and
,a non-linear instrument coupled to receive the second signal, wherein the second signal is a pre-distorted form of the first signal such that the non-linear instrument provides a linear output with respect to the first signal. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. A control system comprising:
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a first multiplier having a first input coupled to receive a first signal;
a first summer having a first input coupled to an output of the first multiplier;
a scaler having an input coupled to an output of the first summer;
a first delay having an input coupled to an output of the scaler and an output coupled to a second input of the first summer, the output of the first delay providing a second signal that is a square root of the first signal;
a second multiplier having a first input coupled to the output of the first delay;
a second summer having a first input coupled to an output of the second multiplier and a second input coupled to a constant;
a third multiplier having a first input coupled to an output of the second summer and an output coupled to a second input of the first multiplier;
a second delay having an input coupled to an output of the third multiplier and having an output coupled to second inputs of the second and third multipliers; and
,a non-linear instrument coupled to receive the second signal, wherein the second signal is a pre-distorted form of the first signal such that the non-linear instrument provides a linear output with respect to the first signal. - View Dependent Claims (9, 10, 11, 12, 13, 14)
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15. A control system comprising:
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a first multiplier having a first input coupled to receive a first signal;
a first summer having a first input coupled to an output of the first multiplier;
a scaler having an input coupled to an output of the first summer;
a first delay having an input coupled to an output of the scaler and an output coupled to a second input of the first summer, the output of the first delay providing a second signal that is a square root of the first signal;
a second multiplier having a first input coupled to the output of the first delay;
a second summer having a first input coupled to an output of the second multiplier and a second input coupled to a constant;
a third multiplier having a first input coupled to an output of the second summer and an output coupled to a seconds input of the first multiplier;
a second delay having an input coupled to an output of the third multiplier and having an output coupled to second inputs of the second and third multipliers;
a fourth multiplier having first and second inputs and an output, the first input of the fourth multiplier being coupled to an output of the first delay, the second input of the fourth multiplier receiving a sign of the first signal, and the output of the fourth multiplier providing a third signal that is a square root of the first signal and that has the sign of the first signal; and
,a non-linear instrument coupled to receive the third signal, wherein the third signal is a pre-distorted form of the first signal such that the non-linear instrument provides a linear output with respect to the first signal. - View Dependent Claims (16, 17, 18, 19, 20)
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Specification