On the Improvement of Position-Detection Accuracy Using Signal Perturbation Theory
01 Feb 1970-IEEE Transactions on Industrial Electronics and Control Instrumentation (IEEE)-Iss: 1, pp 7-9
TL;DR: Triangular perturbation was applied to a two-element photosensor receptor, resulting in perfect position detection within the dimensions of the receptor as discussed by the authors, and it was also shown that perfect location detection can be obtained over as large a range as desired by using a many-element zero-deadband one-dimensional receptor subjected to triangular perturbations.
Abstract: It is shown that a triangular perturbation signal provides increased position-detection accuracy over that provided by a sinusoidal perturbation signal [1]. Triangular perturbation is applied to a two-element photosensor receptor, resulting in perfect position detection within the dimensions of the receptor. It is also shown that perfect position detection can be obtained over as large a range as desired by using a many-element zero-deadband one-dimensional receptor subjected to triangular perturbation.
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TL;DR: In this paper, the effect of random image perturbation on the measurement of line length and area using discrete photosensitive arrays was studied and it was shown that two-dimensional independent Gaussian perturbations can linearize the response of area measurement systems employing arrays with elements of small active area.
Abstract: The effect of random image perturbation on the measurement of line length and area using discrete photosensitive arrays is presented It is shown that two-dimensional independent Gaussian perturbation can linearize the response of area measurement systems employing arrays with elements of small active area
10 citations
TL;DR: A random perturbation about the true position of a target image is shown to improve the position-detection accuracy of systems which operate on quantized data.
Abstract: A random perturbation about the true position of a target image is shown to improve the position-detection accuracy of systems which operate on quantized data. For a two-sensor receptor the random perturbation is shown to decrease the position error measurably. For a multisensor receptor the random perturbation is shown to drive the position error to zero.
8 citations
TL;DR: In this paper, a position detection system utilizing a chemical array is described, which uses a continuous layer of inorganic compound in a resin material as the sensing medium, thus eliminating the element spacings that are the primary cause of error in discrete arrays with inactive gaps.
Abstract: A position-detection system utilizing a chemical array is described. The array uses a continuous layer of inorganic compound in a resin material as the sensing medium, thus eliminating the element spacings that are the primary cause of error in discrete arrays with inactive gaps. The analysis of a one-dimensional chemical array with mechanical image perturbation is presented. Zero error-position detection is obtained with triangular image perturbation.
7 citations
TL;DR: In this article, a general analytical model which describes the receptor system with respect to receptor element threshold, perturbation amplitude (peak), and the deadspace between elements is presented, and functional approximation theory is applied to determine necessary and sufficient conditions on the system parameters that optimize (Chebyshev) the system position transfer characteristic.
Abstract: Improved position detection involving a one-dimensional photosensor array has been shown to be possible by applying a high-frequency perturbation signal to a normalized target image. A general analytical model which describes the receptor system with respect to receptor element threshold, perturbation amplitude (peak), and the deadspace between elements is presented. Functional-approximation theory is applied to determine necessary and sufficient conditions on the system parameters that optimize (Chebyshev) the system position transfer characteristic with respect to one that is linear.
7 citations
TL;DR: It is shown here that for a nonzero dead-band ?
Abstract: High-resolution position detection using a one-dimensional zero-dead-band photosensor receptor has been shown [1] to be possible by applying a high-frequency triangular perturbation to a normalized target image. It is shown here that for a nonzero dead-band ? between the receptor elements, position detection becomes increasingly uncertain as ? increases. By periodically changing the magnitude of the perturbation and the system gain, it is shown that accurate position detection is still possible for a receptor with nonzero dead-band.
6 citations
References
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TL;DR: A method is presented for increasing the accuracy of position and velocity detecting systems which make use of pattern recognition principles due to the binary nature of receptor elements which causes the receptor to have a nonlinear transfer characteristic.
Abstract: A method is presented for increasing the accuracy of position and velocity detecting systems which make use of pattern recognition principles. The basic limitation of these systems is due to the binary nature of receptor elements which causes the receptor to have a nonlinear transfer characteristic.
28 citations
"On the Improvement of Position-Dete..." refers background or methods in this paper
...Fig.4. Transfer characteristic ofa two-element receptorwith triangular perturbation (6 = m/2 to allowcomparison with McVeyandChen[ 1 ])....
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...sinusoidal signal whichperturbates thetarget position aboutitsaverage (actual) position. Theresulting input tothereceptor isthen[ 1 ]...
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...Fig. 1 .Two-element one-dimensional receptor anditstransfer characteristic sansperturbation....
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...Abstract-It isshownthatatriangular perturbation signal provides increased position-detection accuracy overthatprovided bya sinusoidal perturbation signal [ 1 ]....
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...N arecent paper, McVeyandChen[ 1 ]introduced anovel application ofthewell-known signal stabilization technique [2],[3]....
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TL;DR: In this paper, a general dual input describing function (DIF) was derived for single-valued nonlinearities subjected to two arbitrary noncommensurate sine waves and applied to the problem of the stability of nonlinear systems subjected to sinusoidal forcing.
Abstract: A new general DIDF (dual input describing function) has been analytically derived for single-valued nonlinearities subjected to two arbitrary noncommensurate sine waves. The development corroborates a previous approximate development for two sine waves widely separated in frequency. The new DIDF is applied to the problem of the stability of nonlinear systems subjected to sinusoidal forcing. It is shown that the conventional DF (describing function) cannot be used for nonautonomous systems without additional safeguards. After it has been shown by the DIDF that no auto-oscillations exist for given input conditions it is proper to employ the conventional DF in any of the methods suggested in the literature to obtain the closed-loop frequency response under those conditions.
24 citations