In order to relieve the deficiency of the usual cubic Hermite spline curves,the quartic Hermite spline curves with shape parameters is further studied in this work. The interpolation error and estimator of the quartic...In order to relieve the deficiency of the usual cubic Hermite spline curves,the quartic Hermite spline curves with shape parameters is further studied in this work. The interpolation error and estimator of the quartic Hermite spline curves are given. And the characteristics of the quartic Hermite spline curves are discussed.The quartic Hermite spline curves not only have the same interpolation and continuity properties of the usual cubic Hermite spline curves, but also can achieve local or global shape adjustment and C;continuity by the shape parameters when the interpolation conditions are fixed.展开更多
A class of cubic trigonometric interpolation spline curves with two parameters is presented in this paper. The spline curves can automatically interpolate the given data points and become C^2 interpolation curves with...A class of cubic trigonometric interpolation spline curves with two parameters is presented in this paper. The spline curves can automatically interpolate the given data points and become C^2 interpolation curves without solving equations system even if the interpolation conditions are fixed. Moreover, shape of the interpolation spline curves can be globally adjusted by the two parameters. By selecting proper values of the two parameters,the optimal interpolation spline curves can be obtained.展开更多
This Letter demonstrates a filterless v-band signals and pulses generator scheme with a tunable optical carrier to sideband ratio（OCSR）. Through complete theoretical analysis, the mathematical expression of the OCSR...This Letter demonstrates a filterless v-band signals and pulses generator scheme with a tunable optical carrier to sideband ratio（OCSR）. Through complete theoretical analysis, the mathematical expression of the OCSR that contains the extinction ratio, phase modulation index, and bias angle is obtained. It is found that the OCSR has a wide tuning range, from 50 to-70 d B. By careful adjustment, a 60 GHz millimeter-wave signal with the OCSR at 50.72 d B and the electrical spurious suppression ratio at 36.6 d B can be achieved. Moreover, the discussions of using optimum OCSR to generate a Nyquist pulse or triangular-shaped pulse are also presented in this Letter.展开更多
基金Hunan Provincial Natural Science Foundation(2017JJ3124)of Chinathe Scientific Research Fund(14B099)of Hunan Provincial Education Department of China
文摘In order to relieve the deficiency of the usual cubic Hermite spline curves,the quartic Hermite spline curves with shape parameters is further studied in this work. The interpolation error and estimator of the quartic Hermite spline curves are given. And the characteristics of the quartic Hermite spline curves are discussed.The quartic Hermite spline curves not only have the same interpolation and continuity properties of the usual cubic Hermite spline curves, but also can achieve local or global shape adjustment and C;continuity by the shape parameters when the interpolation conditions are fixed.
基金supported by the National Natural Science Foundation of China(11171181)the Scientific Research Fund of Hunan Provincial Education Department of China(14B099)
文摘A class of cubic trigonometric interpolation spline curves with two parameters is presented in this paper. The spline curves can automatically interpolate the given data points and become C^2 interpolation curves without solving equations system even if the interpolation conditions are fixed. Moreover, shape of the interpolation spline curves can be globally adjusted by the two parameters. By selecting proper values of the two parameters,the optimal interpolation spline curves can be obtained.
基金supported by the National Natural Science Foundation of China(Nos.61525501,61471033,and 61405007)the Natural Science Foundation of Beijing(No.4154081)
文摘This Letter demonstrates a filterless v-band signals and pulses generator scheme with a tunable optical carrier to sideband ratio（OCSR）. Through complete theoretical analysis, the mathematical expression of the OCSR that contains the extinction ratio, phase modulation index, and bias angle is obtained. It is found that the OCSR has a wide tuning range, from 50 to-70 d B. By careful adjustment, a 60 GHz millimeter-wave signal with the OCSR at 50.72 d B and the electrical spurious suppression ratio at 36.6 d B can be achieved. Moreover, the discussions of using optimum OCSR to generate a Nyquist pulse or triangular-shaped pulse are also presented in this Letter.
