基于阿达玛变换提高激光告警系统信噪比的研究

根据阿达玛变换原理，计算了编码模板大小和码元数，详细介绍了Sn循环矩阵的生成，最后选择数字微镜阵列充当编码模板，并进行了仿真实验研究。实验结果表明，将阿达玛变换应用于激光光谱测量，在不增加测量次数的情况下，可以有效地提高系统的信噪比。     

基于数字微镜技术的阿达玛变换近红外光谱仪

构建了一个基于数字微镜技术的新型阿达玛变换近红外光谱仪.光学信号采用光纤引入,以光栅作为分光元件,利用数字微镜代替传统的机械式阿达玛模板进行光学编码调制,使用单点InGaAs红外探测器检测调制后的光信号,通过快速阿达玛解码还原出原始光谱.通过实验检验了光谱仪的分辨率、信噪比、稳定性以及谱图获取速度等指标.实验结果表明,...     

空间调制干涉型阿达玛变换光谱成像仪

简要叙述了色散型阿达玛变换光谱成像仪的原理及仪器构成,指出其存在空间信息与光谱信息的错位和光谱分辨率受阿达玛编码模板码元宽度制约的缺陷.提出空间调制干涉型阿达玛变换光谱成像技术原理及仪器,利用横向剪切干涉仪获得所有阿达玛编码光信息在不同光程差处的干涉信号,对干涉谱进行傅哩叶变换和阿达玛变换得到目标的光谱.理论分析表明,干涉图的调制度不受阿达玛模板形状、大小等因素的影响,光谱分辨率与阿达玛模板的尺寸无关,不但避免了色散型阿达玛变换光谱成像仪中空间信息和光谱信息的错位,而且高能量通过率、高空间分辨率和高光谱分辨率成像容易同时实现.     

液晶空间光调制器在阿达玛变换光谱仪中的应用研究——快速精确的解码方法

研究了液晶空间光调制器(LC-SLM)作为固定不动的编码模板应用于阿达玛变换光谱仪(HTS),提出了快速精确的解码方法,给出了由液晶空间光调制器编码模板所带来的均方根信噪比的改善.     

静态双增益阿达玛光谱仪光谱的重叠错位分析与校正

为平衡光栅色散型光谱仪光通量、系统信噪比和光谱分辨率之间的矛盾,介绍了一种基于微狭缝阵列的静态双增益阿达玛光谱仪.在分析其实现静态双增益工作原理的基础上,阐述了由于阿达玛编码模板多狭缝阵列引起的光谱重叠的原因.为实现静态双增益阿达玛光谱仪光谱重叠校正,理论推导了光谱偏移量与阿达玛编码模板狭缝空间位置之间的关系,以及分光后某波长空间错位量与码元(狭缝)空间位置、波长之间的关系.仿真实验验证了此方法简单有效,无需复杂计算,修正速度快,易于编程实现.     

利用四原子Cluster态概率隐形传送两原子纠缠态

为平衡光栅色散型光谱仪光通量、系统信噪比和光谱分辨率之间的矛盾,介绍了一种基于微狭缝阵列的静态双增益阿达玛光谱仪.在分析其实现静态双增益工作原理的基础上,阐述了由于阿达玛编码模板多狭缝阵列引起的光谱重叠的原因.为实现静态双增益阿达玛光谱仪光谱重叠校正,理论推导了光谱偏移量与阿达玛编码模板狭缝空间位置之间的关系,以及分光后某波长空间错位量与码元(狭缝)空间位置、波长之间的关系.仿真实验验证了此方法简单有效,无需复杂计算,修正速度快,易于编程实现.     

编码模板误差引起测量光谱图像改变的分析

针对编码模板存在的各种不同误差情况,确定了相应的循环编码矩阵.根据阿达玛变换成像光谱仪的编码和解码原理,通过比较解码得到光谱图像和原始图像.分析了光谱图像在编码模板存在各种不同误差的情况下,随编码模板误差的变化情况,得到了光谱图像随编码模板误差变化的大致范围和基本关系.     

阿达玛变换光谱仪狭缝衍射的编码修正

根据阿达玛变换光谱仪的原理与狭缝衍射特性,分析了光谱仪入射狭缝衍射对阿达玛变换光谱仪测量结果造成影响,对衍射情况下的阿达玛变换光谱仪的仪器结构矩阵进行了研究,得出了衍射情况下阿达玛变换光谱仪的编/解码方法,通过对入射光谱的还原分析,验证了编码/解码的正确性。该方法对阿达玛变换光谱仪的高精度光谱测量具有重要意义。     

基于DMD的哈达玛变换成像光谱仪中交错编码像素点的研究

近年来在哈达玛变换成像光谱仪研究领域中最重要的技术革新在于数字微镜器件在这种光谱仪中的应用,但同时也带来了一些相应的技术问题需要克服。详细的描述和分析了由于数字微镜器件在哈达玛变换光谱仪中的应用导致的编码图像上的部分像素点出现的一种交错编码现象;这种特殊的像素点,编码过程不符合哈达玛变换,在光谱复原过程中需要特殊处理。针对这种交错编码像素点,提出了一种标识方法和解码方法。实验中,向光谱仪中导入一束激光并充满整个视场,在编码的激光图像中确定交错编码像素点的位置。然后变换编码模板上哈达玛编码码道的空间位置,采集两组针对目标的编码图像,通过观察编码图像上一个像素点的灰度值组成的列向量中非零常量与零元素的个数,可以分辨它是否是一个交错编码像素点。其中一组编码图像上交错编码像素点光谱曲线可以通过对另一组编码图像上相应位置的像素点进行哈达玛反变换得到。实线结果证明了这一方法的可行性。     

双色散二维阿达玛变换光谱仪

设计了一种双色散二维调制的阿达玛变换光谱仪,利用光栅在水平方向的谱级色散和棱镜在垂直方向的谱线色散进行二维分光。与传统的二维光谱CCD探测方法不同,该设计独辟蹊径,采用面阵数字微镜对二维光谱进行阿达玛调制,并利用单点式检测器进行光信号的检测。理论计算及光学仿真表明,与传统的二维光谱探测仪器相比,该光谱仪不仅具有高的分辨率,同时还具有很高的信噪比。     

Analysis and study of the interlaced encoding pixels in Hadamard transform spectral imager based on DMD

The key innovation in Hadamard transform spectral imager (HTSI) introduced recently is the use of digital micro-mirror device (DMD) to encode spectral information. However, because the size of individual micro-mirrors does not match the detector pixel size or for other unavoidable errors in the optical design and the system assembling, an interlaced encoding phenomenon appears on some pixels of the encoded images obtained from the detector. These interlaced encoding pixels are not encoded based on Hadamard transform, so they should be processed specially in spectrum recovery. This paper analyzes the interlaced encoding phenomenon and proposes a positioning method and a decoding method for the interlaced encoding pixels on the encoded images. In our experiment, we direct a beam of laser into our HTSI and fill the entire field of view; by observing the column vector, which is made up of the gray values of a pixel on the encoded images from the detector in sequence, the interlaced encoding pixels can be distinguished easily and a coefficient is obtained simultaneously, which denotes the ratio of the area between the left part and the right part of the interlaced encoding pixel. By substituting the coefficient and the encoded gray values of the interlaced pixel into its encoding equation, we can recover the spectral elements of the interlaced pixel with ease. By comparing the spectral curve of the interlaced encoding pixels recovered by the method mentioned in this paper and the spectral curves of its two adjacent pixels, we find the decoding results are quite effective.     

Applications of quantum Fourier transform in photon-added coherent state

Quantum Fourier transform is realized by the Hadamard gate in a quantum computer, which can also be considered as a Hadamard transform. We introduce the Hadamard transformed photon-added coherent state （HTPACS）, which is obtained by letting the photon-added coherent state （PACS） across the quantum Hadamard gate, from this result. It is found that the HTPACS can be considered as a coordinate-momentum mutual exchanging followed by a squeezing transform of the PACS. In addition, the non-classical statistical properties of HTPACS, such as squeezing coefficient, Mandel parameter, etc., are also discussed.     

哈达玛变换光谱成像仪光谱响应非均匀性修正

哈达玛变换光学是近些年发展起来的一门新技术,已经被广泛应用于目标设别、微弱信号检测等领域。基于DMD的哈达玛变换光谱成像仪是一种新型的色散型光谱成像仪。介绍了哈达玛变换成像原理,在自行研制的哈达玛变换光谱成像仪基础上,从光谱定标的角度,研究了哈达玛变换光谱成像仪获得的编码图像的光谱响应非均匀性。针对哈达玛变换光谱成像仪获得的光谱图像中叠加非均匀性噪声及光谱混叠影响光谱复原精度的问题,首次在该光谱成像仪上利用辐射度相对光谱修正和绝对光谱修正算法,对光谱响应非均匀性进行修正。仿真计算和实验结果表明,对于哈达玛变换光谱仪采集的七个波段的光谱图像,修正后的光谱曲线与辐射度计获得的谱线精度非常接近,使复原光谱的误差在2.4%～4.2%的范围,满足实验室和工程应用的技术要求。     

The multiple-parameter discrete fractional Hadamard transform

Discrete fractional Hadamard transform (DFrHaT) is a generalization of the Hadamard transform, which has been widely used in signal processing. In this paper, we present the multiple-parameter discrete fractional Hadamard transform (MPDFrHaT), which has multiple order parameters instead of only one in DFrHaT. The proposed MPDFrHaT is shown to possess all of the desired properties of DFrHaT. In fact, it will reduce to DFrHaT when all of its order parameters are the same. We also propose a novel encryption technique, double random amplitude (DRA) encoding scheme, by cascading twofold random amplitude filtering. As a primary application, we exploit the multiple-parameter feature of MPDFrHaT and double random amplitude encoding scheme for digital image encryption in the MPDFrHaT domain. Results show that this method can enhance data security.     

Gallager Exponent Analysis of Coherent MIMO FSO Systems over Gamma-Gamma Turbulence Channels

This paper studies the Gallager’s exponent for coherent multiple-input multiple-output (MIMO) free space optical (FSO) communication systems over gamma–gamma turbulence channels. We assume that the perfect channel state information (CSI) is known at the receiver, while the transmitter has no CSI and equal power is allocated to all of the transmit apertures. Through the use of Hadamard inequality, the upper bound of the random coding exponent, the ergodic capacity and the expurgated exponent are derived over gamma–gamma fading channels. In the high signal-to-noise ratio (SNR) regime, simpler closed-form upper bound expressions are presented to obtain further insights into the effects of the system parameters. In particular, we found that the effects of small and large-scale fading are decoupled for the ergodic capacity upper bound in the high SNR regime. Finally, a detailed analysis of Gallager’s exponents for space-time block code (STBC) MIMO systems is discussed. Monte Carlo simulation results are provided to verify the tightness of the proposed bounds.     

Imaging a periodic moving/state-changed object with Hadamard-based computational ghost imaging

We propose a method for imaging a periodic moving/state-changed object based on computational ghost imaging with Hadamard speckle patterns and a slow bucket detector, named as PO-HCGI. In the scheme, speckle patterns are produced from a part of each row of a Hadamard matrix. Then, in each cycle, multiple speckle patterns are projected onto the periodic moving/state-changed object, and a bucket detector with a slow sampling rate records the total intensities reflected from the object as one measurement. With a series of measurements, the frames of the moving/state-changed object can be obtained directly by the second-order correlation function based on the Hadamard matrix and the corresponding bucket detector measurement results. The experimental and simulation results demonstrate the validity of the PO-HCGI. To the best of our knowledge, PO-HCGI is the first scheme that can image a fast periodic moving/state-changed object by computational ghost imaging with a slow bucket detector.