The Savitsky-Golay filter isa smoothing filter based on polynomial regression.Itemploys the regression fitting capacity to improve the smoothing results.But Savit-sky-Golay filter uses a fix sized window.It has the sa...The Savitsky-Golay filter isa smoothing filter based on polynomial regression.Itemploys the regression fitting capacity to improve the smoothing results.But Savit-sky-Golay filter uses a fix sized window.It has the same shortage of Window FourierTransform.Wavelet mutiresolution analysis may deal with this problem.In this paper,tak-ing advantage of Savitsky-Golay filter's fitting ability and the wavelet transform's multiscaleanalysis ability,we developed a new lifting transform via Savitsky-Golay smoothing filteras the lifting predictor,and then processed the signals comparing with the ordinary Savit-sky-Golay Smoothing method.We useed the new lifting in noisy heavy sine denoising.Thenew transform obviously has better denoise ability than ordinary Savitsky-Golay smooth-ing method.At the same time singular points are perfectly retained in the denoised signal.Singularity analysis,multiscale interpolation,estimation,chemical data smoothing andother potential signal processing utility of this new lifting transform are in prospect.展开更多
The phase information of an extended source is reconstructed by use of a two-zone (annular) phaseonly filter in a coherent confocel scanning optical microscope. The dependence of its resolution on its source size is...The phase information of an extended source is reconstructed by use of a two-zone (annular) phaseonly filter in a coherent confocel scanning optical microscope. The dependence of its resolution on its source size is investigated theoretically by its three-dimensional optical transfer function (3D OTF). The results show that the resolution is improved, even though the source size is enlarged.展开更多
A novel photonic technique for instantaneous microwave frequency measurement based on hybrid microwave photonic filter(HMPF) is proposed and experimentally demonstrated. The HMPF is composed of an all-pass filter and ...A novel photonic technique for instantaneous microwave frequency measurement based on hybrid microwave photonic filter(HMPF) is proposed and experimentally demonstrated. The HMPF is composed of an all-pass filter and a band-pass filter with negative coefficients. By properly controlling the power relationship between the all-pass filter and the band-pass filter, the HMPF can realize a monotonic frequency response, and then a unique relationship between the output power and the input frequency is established. A high measurement resolution can be achieved for a given frequency range.展开更多
基金Supported by Land and Resource Ministry of China(30302408-3)
文摘The Savitsky-Golay filter isa smoothing filter based on polynomial regression.Itemploys the regression fitting capacity to improve the smoothing results.But Savit-sky-Golay filter uses a fix sized window.It has the same shortage of Window FourierTransform.Wavelet mutiresolution analysis may deal with this problem.In this paper,tak-ing advantage of Savitsky-Golay filter's fitting ability and the wavelet transform's multiscaleanalysis ability,we developed a new lifting transform via Savitsky-Golay smoothing filteras the lifting predictor,and then processed the signals comparing with the ordinary Savit-sky-Golay Smoothing method.We useed the new lifting in noisy heavy sine denoising.Thenew transform obviously has better denoise ability than ordinary Savitsky-Golay smooth-ing method.At the same time singular points are perfectly retained in the denoised signal.Singularity analysis,multiscale interpolation,estimation,chemical data smoothing andother potential signal processing utility of this new lifting transform are in prospect.
文摘The phase information of an extended source is reconstructed by use of a two-zone (annular) phaseonly filter in a coherent confocel scanning optical microscope. The dependence of its resolution on its source size is investigated theoretically by its three-dimensional optical transfer function (3D OTF). The results show that the resolution is improved, even though the source size is enlarged.
基金supported by the National Natural Science Foundation of China(Nos.61302026,61275067 and 61007064)the Jiangsu Natural Science Foundation(Nos.BK2012432 and BK2012830)+2 种基金the PhD Programs Foundation of the Ministry of Education of China(No.20123223120005)the Natural Science Foundation of the Jiangsu Higher Education Institutions(No.13KJB510025)the Key Project of the Natural Science Foundation Project of Chongqing(No.cstc2013jjB20004)
文摘A novel photonic technique for instantaneous microwave frequency measurement based on hybrid microwave photonic filter(HMPF) is proposed and experimentally demonstrated. The HMPF is composed of an all-pass filter and a band-pass filter with negative coefficients. By properly controlling the power relationship between the all-pass filter and the band-pass filter, the HMPF can realize a monotonic frequency response, and then a unique relationship between the output power and the input frequency is established. A high measurement resolution can be achieved for a given frequency range.