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Correction of sample-time error for time-interleaved sampling system using cubic spline interpolation

100%

Qin G. , Liu G. , Gao M. , Fu X. , Xu P.

2014

tom Vol. 21, nr 3

485--496

Sample-time errors can greatly degrade the dynamic range of a time-interleaved sampling system. In this paper, a novel correction technique employing a cubic spline interpolation is proposed for inter-channel sample-time error compensation. The cubic spline interpolation compensation filter is developed in the form of a finite-impulse response (FIR) filter structure. The correction method of the interpolation compensation filter coefficients is deduced. A 4GS/s two-channel, time-interleaved ADC prototype system has been implemented to evaluate the performance of the technique. The experimental results showed that the correction technique is effective to attenuate the spurious spurs and improve the dynamic performance of the system.

Nanometer-scale displacement sensing using self-mixing interferometry with a correlation-based signal processing technique

88%

Hast J. , Okkonen M. , Heikkinen H. , Krehut L. , Myllylä R.

tom Vol. 14, No. 2

129-134

A self-mixing interferometer is proposed to measure nanometre-scale optical path length changes in the interferometer's external cavity. As light source, the developed technique uses a blue emitting GaN laser diode. An external reflector, a silicon mirror, driven by a piezo nanopositioner is used to produce an interference signal which is detected with the monitor photodiode of the laser diode. Changing the optical path length of the external cavity introduces a phase difference to the interference signal. This phase difference is detected using a signal processing algorithm based on Pearson's correlation coefficient and cubic spline interpolation techniques. The results show that the average deviation between the measured and actual displacements of the silicon mirror is 3.1 nm in the 0-110 nm displacement range. Moreover, the measured displacements follow linearly the actual displacement of the silicon mirror. Finally, the paper considers the effects produced by the temperature and current stability of the laser diode as well as dispersion effects in the external cavity of the interferometer. These reduce the sensor's measurement accuracy especially in long-term measurements.

Correction of Sample-Time Error for Time-Interleaved Sampling System Using Cubic Spline Interpolation

88%

Qin G.-j. , Gao M.-G. , Liu G.-m. , Fu X.-j. , Xu P.

nr 3

Aproksymacja przebiegu trasy kolejowej na przykładzie krzywoliniowego odcinka połączenia Somonino – Gdańsk Osowa

51%

Koc W. , Specht C. , Mindowicz M.

tom nr 87

164--173

W artykule zaprezentowano wyniki wyznaczenia współrzędnych przebiegu trasy kolejowej metodami aproksymacji wielomianowej i interpolacji krzywą kubiczną na podstawie pomiarów czasu rzeczywistego GPS, zrealizowanych z wykorzystaniem polskiej aktywnej sieci geodezyjnej ASG-EUPOS. Rozważania teoretyczne poparte zostały praktycznym przykładem aplikacyjnym opartym na zrealizowanych pomiarach inwentaryzacyjnych zmodernizowanego odcinka toru kolejowego relacji Somonino – Gdańsk.

The article presents results of defining railway route course position using methods of polynomial approximation and cubic spline interpolation based on real time GPS measurements supported by active geodetic network ASG-EUPOS. Mathematical basis of the received solution are presented as well. Theoretical considerations were backed by an example of their application in order to illustrate railway route course present on 06.11.2010. Moreover, the article covers an issue of the output data’s spatial resolution and its effect on accuracy of linear models defined on its basis.