SYSTEMS, APPARATUS, AND METHODS FOR PROVIDING CONTINUOUS-TIME SIGNAL DIFFERENTIATION AND INTEGRATION
First Claim
1. An apparatus configured to provide an approximate differentiation of an input continuous-time signal, the apparatus comprising:
- a continuous-time delay block configured to receive the input continuous-time signal and to delay the input continuous-time signal by a predetermined delay factor to generate a delayed input continuous-time signal;
a processing block configured to determine a difference between the input continuous-time signal and the delayed input continuous-time signal; and
a multiplication block configured to multiply the difference by a multiplication factor to provide the approximate differentiation of the input continuous-time signal.
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Abstract
The disclosed subject matter includes an apparatus. The apparatus is configured to provide an approximate differentiation of an input continuous-time signal. The apparatus includes a continuous-time delay block configured to receive the input continuous-time signal and to delay the input continuous-time signal by a predetermined delay factor to generate a delayed input continuous-time signal; a processing block configured to determine a difference between the input continuous-time signal and the delayed input continuous-time signal; and a multiplication block configured to multiply the difference by a multiplication factor to provide the approximate differentiation of the input continuous-time signal.
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Citations
20 Claims
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1. An apparatus configured to provide an approximate differentiation of an input continuous-time signal, the apparatus comprising:
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a continuous-time delay block configured to receive the input continuous-time signal and to delay the input continuous-time signal by a predetermined delay factor to generate a delayed input continuous-time signal; a processing block configured to determine a difference between the input continuous-time signal and the delayed input continuous-time signal; and a multiplication block configured to multiply the difference by a multiplication factor to provide the approximate differentiation of the input continuous-time signal. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. An apparatus configured to provide an approximate integration of an input continuous-time signal, the apparatus comprising:
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a multiplication block configured to multiply the input continuous-time signal by a multiplication factor to provide an amplitude-adjusted input signal; a continuous-time delay block configured to receive a first value of an output signal of the apparatus corresponding to the first time instance and provide, at an output of the continuous-time delay block, the first value at a second time instance later than the first time instance; and a processing block configured to receive, at the second time instance, the amplitude-adjusted input signal from the multiplication block and the first value of the output signal from the output of the continuous-time delay block, and to provide a summation of the amplitude-adjusted input signal and the first value of the output signal to generate a second value of the output signal of the apparatus corresponding to the second time instance, wherein the second value of the output signal is the approximate integration of the input continuous-time signal at the second time instance. - View Dependent Claims (9, 10, 11, 12, 13, 14, 15)
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16. A system comprising:
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an apparatus configured to provide an approximate differentiation of an input continuous-time signal, the apparatus comprising; a multiplication block configured to multiply the input continuous-time signal by a multiplication factor to provide a first signal; a continuous-time delay block configured to receive the first signal and to delay the first signal by a predetermined delay factor to generate a second signal; a processing block configured to receive the first signal and the second signal, and to determine a difference between the first signal and the second signal to provide the approximate differentiation of the input continuous-time signal. - View Dependent Claims (17, 18, 19, 20)
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Specification