分段声码器中的LSP参数量化算法研究

为解决语音分段后提取出的LSP参数矩阵维数不固定问题,采用多项式拟合取代段长弯折以固定参数矩阵的维数。方案以降低维数转换引起的谱失真为出发点,对不同范围的段长进行不同阶次的多项式拟合,再对拟合后的矩阵进行量化编码。仿真表明,提出的方案具有相对良好的量化性能。     

基于FME的无人机遥感影像几何校正

遥感影像几何校正的质量和速度将会直接影响到后续的数据处理和定量提取信息的质量.基于大数据量的3级无人机影像,探讨将其从西安80坐标转换到北京54坐标的快速处理方法.分别采用Erdas二次多项式变换和FME仿射变换进行单幅影像校正,对比发现仿射变换校正后的影像与参考卫星影像地物匹配效果更好,可达到应用的精度.并利用FME批处理功能,大大提高了工作效率.实验表明：当控制点精度满足要求且原始到目标坐标系的转换属于二维线性变换时,FME是快速几何校正的一种有效手段.     

基于目标指示的两坐标警戒雷达目标高度补偿状态估计

为了克服现有目标高度补偿算法存在的模型假设不合理、实际应用效果难以保证等问题,本文以目标恒海拔等速运动为前提,利用协同单元提供的目标指示信息,对两坐标雷达的空间目标跟踪问题重新进行了研究.首先根据不同坐标系间的转换关系,构建了目标高度的准确表达式.然后通过恒等变换和合理的近似,得到了目标高度的估计公式,并利用绝对值不等式和柯西-施瓦茨不等式,推导得到了高度估计公式的误差.最后联合目标高度估计公式和两坐标雷达的缺维量测方程,采用扩展卡尔曼滤波方法,实现了目标空间状态的估计.仿真结果表明:本文算法可有效地对目标高度进行补偿,获得稳定、可靠的目标空间状态估计,从而为两坐标雷达目标空间状态估计问题提供了相对有效完善的解决方法.     

一种空间直角坐标转换至大地坐标的简捷算法研究

空间直角坐标系与大地坐标系之间的相互转换是大地测量中的常规计算, 经常采用迭代的计算方式忽略了纬度与大地高之间的相关性。而采用同一坐标系中由空间直角坐标计算纬度及大地高的推导算法, 将纬度与大地高绑定参与迭代计算, 编写了相应的计算程序。该算法经过了实例验证, 公式推导简单, 便于记忆、理解和程序编写, 为空间直角坐标转换至大地坐标提供了新的思路与借鉴。     

GPS电子地图坐标转换算法研究

GPS车载导航系统现在已经运用得十分广泛,然而GPS采用的是WGS-84坐标系,目前我国的各类地图均采用54北京坐标或是80西安坐标,两者的差距可达0～120m.要使用各类电子导航装置就需要把WGS-84坐标转换到54北京坐标系下,并和电子地图中的像素点对应起来.本文主要介绍一种坐标转换算法,并且通过实测检验,证实算法效果良好.     

统一测控系统联动标校方法

为了在短时间内完成对主用组合和备用组合的标校,提出一种联动标校方法.在设备的下行频率范围内,每隔10 MHz对主备用组合进行标校,然后采用多项式拟合的方法得到主备用组合标校差值与下行频率的拟合公式.在对主用组合标校完成后,利用拟合公式可以直接计算得到备用组合的标校值.该方法标校精度满足要求,可以普遍应用在统一测控系统设备上,提高设备的可靠性.     

双三次B样条波面拟合技术在计算全息中的应用

用于军用光学系统的计算全息元件的设计与制作,需要求取物波函数,采用高次多项式拟合不仅计算误差大,而且增加了在计算全息编码、基本方程求解时的计算量。本文引入双三次B样条波面拟合技术对计算全息物波函数进行拟合,基于MATLAB编程实现,就不同物波函数分别用双三次B样条和高次多项式进行计算,计算结果表明双三次B样条具有比高次多项式更高的拟合精度,更适合于计算全息物波函数的求取。     

带有分割遮拦环形干涉图的波面拟合

针对干涉测量实验中采集到的带有分割遮拦的环形干涉图,采用Zernike环多项式作为基底函数系对波面数据进行拟合,并对拟合结果进行了理论分析和实验验证。首先,利用相关矩阵,在理论上分析了Zernike环多项式在带有分割遮拦的单位环形区域内的交叉耦合现象。其次,分别采用Zernike圆多项式和Zernike环多项式对实验得到的中心遮拦比ε≈0.504,且带有分割遮拦的环形干涉图进行波面拟合,从拟合残余误差、各项Zernike系数的稳定性、传递矩阵的条件数三个方面,对比分析了两种多项式的拟合精度、可靠性以及抗扰动能力。实验结果表明,对于带有分割遮拦环形波面的拟合,当环形区域中分割遮拦较小时,Zernike环多项式具有较高的拟合精度、可靠性和抗扰动能力,可以达到很好的拟合效果。     

一种新的深度传感器内部参数标定方法研究

针对双镜头深度传感器(以Kinect为例)出厂标 定参数精度不高的问题,提出一种新的标定方法。 对于Kinect 2.0深度镜头,利用空间线定长约束,通过间接平差方法求解待求参数;根据求 解参数,将深度图 像坐标转转换值Kinect坐标并将其与对应的彩色影像坐标点进行关联,基于中心投影方程标 定彩色镜头。实 验结果表明,本方法将深度影像点转换到Kinect坐标时精度优于2.5 mm,深度影像坐标转换至彩色影像坐标 时精度优于1pixel,高于Kinect微软开发包内置参数的计算精度,对一些需要较高参 数精度的应用,本文算法解算的参数更优。     

脉冲形状对3次谐波转换的影响分析

为了使谐波转换系统保持高效稳定的3次谐波转换,采用数值模拟的方法,研究了基频光脉冲波形对3倍频转换效率的影响,并对高斯脉冲和平顶脉冲的不同谐波转换特点作了详细分析.当基频光为高斯脉冲时,在3GW/cm2的输入条件下最佳的2倍频转换效率为56.8%,低于理论预计的66.7%.进一步计算了不同功率密度下,最佳2倍频转换效率与超高斯脉冲阶数的关系.当考虑空间走离效应,基频光时间和空间均为平顶分布时,最佳的2倍频转换效率为62%;若基频光时间为平顶分布、空间分布为高斯分布时,最佳2倍频转换效率为51%,进一步地偏离66.7%.结果表明,当基频光脉冲形状偏离理想的平顶分布时,适当地降低2倍频转换效率,可提高3倍频转换效率.     

Correlated Noise: How it Breaks NMF,and What to Do About it

A novel direct digital frequency synthesizer (DDFS) based on a parabolic polynomial with an offset is proposed in this paper. A 16-segment parabolic polynomial interpolation is adopted to replace the traditional ROM-based phase-to-amplitude conversion methods. Besides, the proposed parabolic polynomial interpolation is realized in a multiplier-less structure such that the speed can be significantly improved. This work is manufactured by a standard 0.13 μm CMOS cell-based technology. The maximum clock rate is 161 MHz, the core area is 0.33 mm², and the spurious free dynamic range (SDRF) is 117 dBc by physical measurements on silicon.     

插值攻击中的多项式表示

首先简介了插值攻击的基本原理和几种实施方法。在此基础上,给出了作者对多项式表示问题的研究结果,其后对域的选取问题进行了分析。     

Quadrature direct digital frequency synthesizers using interpolation-based angle rotation

This paper describes a quadrature direct digital frequency synthesizer (QDDFS) architecture based on a new phase-to-sine conversion technique. The proposed technique uses polynomial interpolation and rotational transformation in a fine/coarse approach, achieving high-resolution output with a wide spurious-free dynamic range (SFDR). The QDDFS with this technique requires small-sized lookup tables and a simple computational engine. The fine/coarse decomposition significantly reduces the size of required lookup tables, and the polynomial interpolation enables accurate approximation of cosine and sine values. Two prototype QDDFS ICs were fabricated in 0.35-/spl mu/m CMOS. The final prototype IC produces 16-b cosine and sine outputs with a spectral purity greater than 100-dB. It has a frequency tuning resolution of 0.03-Hz at a 150-MHz sampling rate and consumes 350-mW with a 3.0-V power supply.     

Sampling rate conversion systems using a new generalized form ofthe discrete Fourier transform

A recursive factorization of the polynomial 1-z^N leads to an efficient algorithm for the computation of the discrete Fourier transform (DFT) and the cyclic convolution. The paper introduces a new recursive polynomial factorization of the polynomial when N is highly composite. The factorization is used to define a generalized form of the DFT and to derive an efficient algorithm for the computation. The generalized form of the DFT is shown to be closely related to the polyphase decomposition of a sequence, and is applied for the design of sampling rate conversion systems, it gives not only alternative derivations for the polyphase interpolation and the polyphase decimation by an integer factor, but also a new sampling rate conversion system by a rational factor, which is more efficient than the known rational polyphase implementation when the filter length is large     

基于三次样条的动态GM(1,1)模型在智能电网用电量预测中的应用

Electricity demand forecasting plays an important role in smart grid expansion planning. In this paper, we present a dynamic GM(1,1) model based on grey system theory and cubic spline function interpolation principle. Using piecewise polynomial interpolation thought, this model can dynamically predict the general trend of time series data. Combined with low-order polynomial, the cubic spline interpolation has smaller error, avoids the Runge phenomenon of high-order polynomial, and has better approximation effect. Meanwhile, prediction is implemented with the newest information according to the rolling and feedback mechanism and fluctuating error is controlled well to improve prediction accuracy in time-varying environment. Case study using the living electricity consumption data of Jiangsu province in 2008 is presented to demonstrate the effectiveness of the proposed model.     

Reduced Complexity Interpolation Architecture for Soft-Decision Reed–Solomon Decoding

Reed-Solomon (RS) codes are one of the most widely utilized block error-correcting codes in modern communication and computer systems. Compared to hard-decision decoding, soft-decision decoding offers considerably higher error-correcting capability. The Koetter-Vardy (KV) soft-decision decoding algorithm can achieve substantial coding gain, while maintaining a complexity polynomial with respect to the code word length. In the KV algorithm, the interpolation step dominates the decoding complexity. A reduced complexity interpolation architecture is proposed in this paper by eliminating the polynomial updating corresponding to zero discrepancy coefficients in this step. Using this architecture, an area reduction of 27% can be achieved over prior efforts for the interpolation step of a typical (255, 239) RS code, while the interpolation latency remains the same     

On the Newton bivariate polynomial interpolation with applications

The main purpose of this work is to provide recursive algorithms for the computation of the Newton interpolation polynomial of a given two-variable function. The special case where the interpolation polynomial has known upper bounds on the degree of each indeterminate is studied and applied to the computation of the inverse of a two-variable polynomial matrix.     

基于结构相似的CIE L*a*b*颜色信号向孟塞尔色序系统分级转换

针对传统数学建模法无法实现CIELAB颜色信号向孟塞尔色序系统精确转换的问题,提出一种基于结构相似的分级转换算法。首先使用Pearson相关系数分析CIELAB颜色系统与孟塞尔色序系统间的结构关系,接着在此基础上采用分级转换的方式先后得到CIELAB颜色信号对应的孟塞尔明度V、色调H和彩度C三色标,并在第二级转换求色标H时使用了一种多次插值求最小色差的新方法,以保证算法的计算精度。对2735组检验样本的测试结果表明,本文算法具有良好的计算精度和可靠性,并可被广泛应用于各类图像颜色信号处理系统中。     

软件无线电中改进CIC滤波器的研究

软件无线电接收机的灵活性之一是在于对调制方式没有限制。为此,不同采样率之间的转换对软件无线电终端来说就显得尤为重要。实现数字的采样率转换在传统方法中就是利用插值,而一般的传统方法不能满足反混叠效应的要求。给出了在采样率转换(SRC)中的一种改进级联积分梳齿(CIC)滤波器,从而更有效地避免了混叠效应。     

Trigonometric polynomial interpolation for timing recovery

In an all-digital timing-adjustment system for digital modems, interpolation can be employed to recover samples that are synchronous with the data symbols. In this paper, a novel interpolation method is described for such systems. Instead of approximating a continuous-time signal with a conventional (algebraic) polynomial and computing the synchronized samples using a Farrow structure, a trigonometric polynomial is employed. It is demonstrated that this approach produces a particularly simple implementation structure, reduces computational delay and, for practical signals, can improve the interpolation performance. Moreover, to recover a synchronized sample from existing samples, given a timing offset, it is shown that the method can be optimized such that a recovered sample's interpolation error is minimized for that specific timing offset value. The input signal's spectrum is also taken into account. Simulation results indicate that the method can achieve the best performance among all state-of-the-art methods tested. In addition, the optimal interpolator can be implemented without increased hardware requirements.