The transient radial shearing interferometry technique based on fast Fourier transform(FFT)provides a means for the measurement of the wavefront phase of transient light field.However,which factors affect the spatial ...The transient radial shearing interferometry technique based on fast Fourier transform(FFT)provides a means for the measurement of the wavefront phase of transient light field.However,which factors affect the spatial bandwidth of the wavefront phase measurement of this technology and how to achieve high-precision measurement of the broad-band transient wavefront phase are problems that need to be studied further.To this end,a theoretical model of phase-retrieved bandwidth of radial shearing interferometry is established in this paper.The influence of the spatial carrier frequency and the calculation window on phase-retrieved bandwidth is analyzed,and the optimal carrier frequency and calculation window are obtained.On this basis,a broad-band transient radial shearing interference phase-retrieval method based on chirp Z transform(CZT)is proposed,and the corresponding algorithm is given.Through theoretical simulation,a known phase is used to generate the interferogram and it is retrieved by the traditional method and the proposed method respectively.The residual wavefront RMS of the traditional method is 0.146λ,and it is 0.037λfor the proposed method,which manifests an improvement of accuracy by an order of magnitude.At the same time,different levels of signal-to-noise ratios(SNRs)from 50 dB to 10 dB of the interferogram are simulated,and the RMS of the residual wavefront is from 0.040λto 0.066λ.In terms of experiments,an experimental verification device based on a phase-only spatial light modulator is built,and the known phase on the modulator is retrieved from the actual interferogram.The RMS of the residual wavefront retrieved through FFT is 0.112λ,and it decreases to 0.035λthrough CZT.The experimental results verify the effectiveness of the method proposed in this paper.Furthermore,the method can be used in other types of spatial carrier frequency interference,such as lateral shearing interference,rotational shearing interference,flipping shearing interference,and four-wave shearing interference.展开更多
The computational load is prohibitive for real-time image generation in 3-D sonar systems, particularly when the steering angle approximation is required. In this paper, a novel multiple Chirp Zeta Transforms (MCZT) b...The computational load is prohibitive for real-time image generation in 3-D sonar systems, particularly when the steering angle approximation is required. In this paper, a novel multiple Chirp Zeta Transforms (MCZT) beamforming method in frequency domain is being proposed. The single long-length Chirp Zeta Transform (CZT) in the original CZT beamforming is replaced by several CZTs with smaller lengths for different partitions along each dimension. The implementing routine of the algorithm is also optimized. Furthermore, an avenue to evaluate the estimating error for the angle approximation in 3-D imaging applications is presented, and an approach to attain valid partitions for the steering angles is also illustrated. This paper demonstrates a few advantages of the proposed frequency-domain beamforming method over existing methods in terms of the computational complexity.展开更多
A new method of increasing the range measure preci- sion by Chirp- Z transform in the level Radar has been put up in this paper. The main assignment of this research is to accom- plish the FFT and Chirp- Z transform. ...A new method of increasing the range measure preci- sion by Chirp- Z transform in the level Radar has been put up in this paper. The main assignment of this research is to accom- plish the FFT and Chirp- Z transform. At the same time, the af- fection of the two range measure methods has been analyzed in this paper. This method can increase both the calculation effi- ciency and range measure precision remarkably by theory calcu- lating and digital emulation.展开更多
利用柱后分流频率调制Chirp Z变换离子迁移谱(IMS),建立了高效液相色谱与纳流电喷雾阵列Chirp Z变换离子迁移谱(HPLC-Nano ESI-Chirp Z IMS)联用分析方法,考察了喷雾电压、溶剂组成、溶液流速等参数对Nano ESI-Chirp Z IMS信噪比的影响...利用柱后分流频率调制Chirp Z变换离子迁移谱(IMS),建立了高效液相色谱与纳流电喷雾阵列Chirp Z变换离子迁移谱(HPLC-Nano ESI-Chirp Z IMS)联用分析方法,考察了喷雾电压、溶剂组成、溶液流速等参数对Nano ESI-Chirp Z IMS信噪比的影响。在此基础上,利用建立的方法对一系列四烷基溴化铵类化合物进行测定,并比较了Chirp Z变换法和FT变换法两种方法的信噪比和分辨率。实验结果表明,最佳实验条件为:喷雾电压4.5 k V;溶剂组成90%甲醇;ESI溶液流速为8μL/min。利用HPLC-Nano ESI-Chirp Z IMS联用方法成功测定了四丁基溴化铵、四戊基溴化铵、四己基溴化铵、四庚基溴化铵、四辛基溴化铵烷、四癸基溴化铵组成的混合样品。与传统信号平均离子迁移谱相比,Chirp Z变换离子迁移谱的信噪比更高,其迁移时间的测定精度优于傅里叶变换离子迁移谱。展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.61705254)the Key Research and Development Program of Shaanxi Province of China(Grant No.2020GY-114).
文摘The transient radial shearing interferometry technique based on fast Fourier transform(FFT)provides a means for the measurement of the wavefront phase of transient light field.However,which factors affect the spatial bandwidth of the wavefront phase measurement of this technology and how to achieve high-precision measurement of the broad-band transient wavefront phase are problems that need to be studied further.To this end,a theoretical model of phase-retrieved bandwidth of radial shearing interferometry is established in this paper.The influence of the spatial carrier frequency and the calculation window on phase-retrieved bandwidth is analyzed,and the optimal carrier frequency and calculation window are obtained.On this basis,a broad-band transient radial shearing interference phase-retrieval method based on chirp Z transform(CZT)is proposed,and the corresponding algorithm is given.Through theoretical simulation,a known phase is used to generate the interferogram and it is retrieved by the traditional method and the proposed method respectively.The residual wavefront RMS of the traditional method is 0.146λ,and it is 0.037λfor the proposed method,which manifests an improvement of accuracy by an order of magnitude.At the same time,different levels of signal-to-noise ratios(SNRs)from 50 dB to 10 dB of the interferogram are simulated,and the RMS of the residual wavefront is from 0.040λto 0.066λ.In terms of experiments,an experimental verification device based on a phase-only spatial light modulator is built,and the known phase on the modulator is retrieved from the actual interferogram.The RMS of the residual wavefront retrieved through FFT is 0.112λ,and it decreases to 0.035λthrough CZT.The experimental results verify the effectiveness of the method proposed in this paper.Furthermore,the method can be used in other types of spatial carrier frequency interference,such as lateral shearing interference,rotational shearing interference,flipping shearing interference,and four-wave shearing interference.
基金National High Technology Research and Development Program (863 Program) of China (No. 2010AA09Z104)the Fundamental Research Funds for the Central Universities
文摘The computational load is prohibitive for real-time image generation in 3-D sonar systems, particularly when the steering angle approximation is required. In this paper, a novel multiple Chirp Zeta Transforms (MCZT) beamforming method in frequency domain is being proposed. The single long-length Chirp Zeta Transform (CZT) in the original CZT beamforming is replaced by several CZTs with smaller lengths for different partitions along each dimension. The implementing routine of the algorithm is also optimized. Furthermore, an avenue to evaluate the estimating error for the angle approximation in 3-D imaging applications is presented, and an approach to attain valid partitions for the steering angles is also illustrated. This paper demonstrates a few advantages of the proposed frequency-domain beamforming method over existing methods in terms of the computational complexity.
文摘A new method of increasing the range measure preci- sion by Chirp- Z transform in the level Radar has been put up in this paper. The main assignment of this research is to accom- plish the FFT and Chirp- Z transform. At the same time, the af- fection of the two range measure methods has been analyzed in this paper. This method can increase both the calculation effi- ciency and range measure precision remarkably by theory calcu- lating and digital emulation.
文摘利用柱后分流频率调制Chirp Z变换离子迁移谱(IMS),建立了高效液相色谱与纳流电喷雾阵列Chirp Z变换离子迁移谱(HPLC-Nano ESI-Chirp Z IMS)联用分析方法,考察了喷雾电压、溶剂组成、溶液流速等参数对Nano ESI-Chirp Z IMS信噪比的影响。在此基础上,利用建立的方法对一系列四烷基溴化铵类化合物进行测定,并比较了Chirp Z变换法和FT变换法两种方法的信噪比和分辨率。实验结果表明,最佳实验条件为:喷雾电压4.5 k V;溶剂组成90%甲醇;ESI溶液流速为8μL/min。利用HPLC-Nano ESI-Chirp Z IMS联用方法成功测定了四丁基溴化铵、四戊基溴化铵、四己基溴化铵、四庚基溴化铵、四辛基溴化铵烷、四癸基溴化铵组成的混合样品。与传统信号平均离子迁移谱相比,Chirp Z变换离子迁移谱的信噪比更高,其迁移时间的测定精度优于傅里叶变换离子迁移谱。
