An accurate and efficient analysis for transient plane wavesobliquely incident on a conductive half space (TM case)

We develop a method for the analytical evaluation of the inverse Laplace transform representations for transient transverse magnetic (TM) plane wave obliquely incident on a conductive half-space. We assume that the permittivity and conductivity of the dispersive half-space are independent of frequency. The time-domain expressions for the reflected and transmitted waves are first represented as inverse Laplace transforms. The transient fields are then shown to consist of two canonical integrals. The canonical integrals, in turn, are solved analytically, thereby yielding close-form solutions involving incomplete Lipschitz-Hankel integrals (ILHIs). The ILHIs are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The exact, closed-form expressions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform (FFT) algorithms. An asymptotic series representation for the ILHIs is also employed to obtain a relatively simple late-time approximation for the transient fields. This approximate late-time expression is shown to accurately model the fields over a large portion of its time history     

An accurate and efficient analysis for transient plane wavesobliquely incident on a conductive half space (TE case)

A method which allows for the analytical evaluation of the inverse Laplace transform representations for a transient TE plane wave, obliquely incident on a conductive half-space, is discussed. We assume that the permittivity and conductivity of the dispersive half-space are independent of frequency. Starting with the equations for the transmitted wave in the Laplace domain, the corresponding time-domain expressions are first represented as inverse Laplace transforms. The transient fields are shown to consist of two canonical integrals f(β) and c(β). The canonical integrals, in turn, are solved analytically, thereby yielding solutions involving incomplete Lipschitz-Hankel integrals (ILHTs). The ILHIs are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The solutions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform (FFT) algorithms     

Equivalent system model and equalization of differential impulse radio UWB systems

A discrete-time equivalent system model is derived for differential and transmitted reference (TR) ultra-wideband (UWB) impulse radio (IR) systems, operating under heavy intersymbol-interference (ISI) caused by multipath propagation. In the systems discussed, data is transmitted using differential modulation on a frame-level, i.e., among UWB pulses. Multiple pulses (frames) are used to convey a single bit. Time hopping and amplitude codes are applied for multi user communications, employing a receiver front-end that consists of a bank of pulse-pair correlators. It is shown that these UWB systems are accurately modeled by second-order discrete-time Volterra systems. This proposed nonlinear equivalent system model is the basis for developing optimal and suboptimal receivers for differential UWB communications systems under ISI. As an example, we describe a maximum likelihood sequence detector with decision feedback, to be applied at the output of the receiver front-end sampled at symbol rate, and an adaptive inverse modeling equalizer. Both methods significantly increase the robustness in presence of multipath interference at tractable complexity.     

Unified theory of near-field analysis and measurement: Nonmathematical discussion

A new unified theory of near-field analysis and measurement emphasizes highly accurate, extremely efficient data processing to yield, e.g., radiation, receiving, and scattering patterns, and absolute gain values. The theory includes 17 types of plane rectangular and plane radial scanning, a more accurate and efficient plane polar scanning, spherical scanning, various types of circular cylindrical scanning, many procedures for determining complex dyadic scattering patterns, the extrapolation method for gain and effective area, and application of symmetry analysis to scattering and inverse scattering analysis. High accuracy is obtained by expressing the fields as linear combination of exact solutions of the differential equations involved (Maxwell's in the electromagnetic (EM) cases) and by using exact expressions for their transformations under coordinate changes. High efficiency is obtained with natural orthogonalities of both the solutions and transformation coefficients with respect to integration, especially summation, and implemented with the fast Fourier transform (FFT) as an approximation-free symmetry decomposition. The unified theory is based upon relativistic and gauge invariances, symmetry analysis, and the scattering matrix theory; it yields all the preceding facets and systems, both electromagnetic and scalar, and the single unified notation, general equations, and explicit expressions for the quantities which vary with the physical or scanning system. A nonmathematical discussion of other papers on the theory is provided. Many of the conceptual errors of the literature are corrected. The advantages and limitations of near-field measurements are described, and scanning systems are compared.     

Time-domain electromagnetic plane waves in static and dynamicconducting media. II

For pt.I see ibid., vol.36, no.3, p.221 (1994). The electromagnetic field inside a lossy half-space for the case of a transient electromagnetic plane wave impinging on the half-space from free space is derived. The losses in the half-space are modeled by assuming either a static (J=σE) or a dynamic (τ∂J/∂t+J=σ₀E) conducting medium. Solutions are derived directly from the first order system of partial differential equations, i.e. the Maxwell equations. Plots for the total fields at the half-space boundary are given and expressions for the fields anywhere inside the half-space based on these boundary fields are given. Asymptotic formulae for late and early times are derived for the case of a step function as well as a square pulse plane wave     

20 GHz Wavelet Generator Using a Gated Tunnel Diode

We demonstrate the use of a GaAs-AlGaAs gated tunnel diode (GTD) in an ultra-wideband (UWB) wavelet generator. An inductor is integrated to form an oscillator circuit, which is driven by the negative differential conductance property of a GTD. It is demonstrated that as the gate tunes the magnitude of the output conductance, the oscillator may be switched on and off, creating short RF pulses. The shortest pulses generated are 500 ps long, the highest output power for the free running oscillator is $-$4.1 dBm, and the highest oscillation frequency is 22 GHz. Analytical expressions based on the van der Pol equation describing the pulse length and amplitude are presented. This technique is applicable for high frequency impulse radio UWB implementations.      

An asymptotic closed-form representation for the groundeddouble-layer surface Green's function

An efficient closed-form asymptotic representation for the grounded double-layer (substrate-superstrate) Green's function is presented. The formulation is valid for both source (a horizontal electric dipole) and observation points anywhere inside the superstate or at the interfaces. The asymptotic expressions are developed via a steepest descent evaluation of the original Sommerfeld-type integral representation of the Green's function, and the large parameter in this asymptotic development is proportional to the lateral separation between source and observation points. The asymptotic solution is shown to agree with the exact Green's function for lateral distances even as small as a few tenths of the free-space wavelengths, thus constituting a very efficient tool for analyzing printed circuits/antennas. Since the asymptotic approximation gives separate contributions pertaining to the different wave phenomena, it provides physical insight into the field behavior, as shown by examples     

Exact, closed-form field expressions for two-dimensional,traveling-wave current strips

In this paper, exact, closed-form expressions are derived for the electromagnetic fields associated with two-dimensional, traveling-wave current strips radiating into a homogeneous space. The field expressions involve incomplete Lipschitz-Hankel integrals of the Hankel form. Convergent and asymptotic series expansions for the incomplete Lipschitz-Hankel integrals allow the fields to be computed more efficiently than was previously possible using numerical integration. Two-dimensional, traveling-wave current strips are important because they appear in problems involving physical optic scattering from strips, diffraction through slits, and radiation from parallel plate waveguides. The problem of physical optic scattering from a strip is investigated in this paper     

Prolate spheroidal wave functions of large frequency parametersc=kfand their applications in electromagnetic theory

Maxwell's equations in prolate spheroidal coordinates have been separated into three second-order differential equations. These differential equations, satisfied byxiandeta, were solved for the frequency parameter c > 10 and the separation constant m = 1, i,e., the uniform circumferential excitations. The asymptotic solutions of the equations for any positive integer m > 1 and c > 10 are given. Thereby, the radiation fields of the metallic prolate spheroid of any length excited by an arbitrary source can be calculated.     

Discretized Gabor-based beam algorithm for time-harmonic radiation from two-dimensional truncated planar aperture distributions .II. Asymptotics and numerical tests

For pt.I see ibid., vol.50, no.12, p.1751-59 (2002). In this second part of the two-part sequence dealing with Gabor-based Gaussian beam (GB) representations for the excitation of time-harmonic three-dimensional (3-D) vector electromagnetic fields excited by two-dimensional (2-D) arbitrarily polarized truncated planar aperture distributions (set in a discretized [configuration (space)]-[spectrum (wavenumber)] phase space), we employ high-frequency asymptotic approximations to reduce the formal solutions developed in part I to efficient algorithms for implementation. The resulting explicit expressions for the 3-D GB propagators are applied to the species of narrow-waisted GBs, which possess ray-like features without the failures of ray fields in ray-optical transition regions. The potential utility of such GBs in the synthesis of wave interactions with complex environments has been discussed previously. The narrow-waisted GB algorithms for the aperture and radiated near-to-far zone fields are calibrated for robustness, accuracy and efficiency by comparison with numerically generated reference solutions in a series of tests involving coordinate-separable rectangular aperture distributions with cosine amplitude tapers.     

基于Hermite函数的超宽带脉冲波形设计与性能分析

根据联邦通信委员会关于超宽带辐射功率谱的限制以及适用于多址方式的窄脉冲要求,设计了一组基于Hermite函数的超宽带脉冲波形。所设计的脉冲波形具有正交性和不随阶数变化的恒定脉宽两个重要特性,从而提供了良好的防时间抖动性能并有效降低符号间干扰;为了评估相关接收机的性能,对设计脉冲信号的自相关和互相关函数的闭合表达式进行了推导;分析了跳时脉位调制超宽带系统中脉冲波形在加性高斯白噪声、多址干扰、多径衰落信道等多种环境下的误码率性能,探讨了时间抖动对系统性能的影响,并将仿真结果与高斯单周期脉冲进行比较。分析结果表明该脉冲设计方案提供了一种灵活而系统的超宽带脉冲设计方法,所设计脉冲既满足辐射功率谱限制又提供良好的系统误码性能。     

瞬时超宽谱脉冲串产生方式

通过对国内外瞬时多脉冲产生技术的调研,结合超宽谱脉冲的特点,开展脉冲分割方式产生超宽谱多脉冲、形成线串联方式产生超宽谱多脉冲、多脉冲合成方式产生超宽谱多脉冲的技术研究,确定利用形成线串联方式产生超宽谱多脉冲的技术路线;对充电时间和开关电容等对产生多脉冲的影响因素进行分析和实验研究,改进了四脉冲形成线充电方式,完成超宽谱四脉冲产生实验装置的设计,在负载上获得瞬时超宽谱多脉冲,脉冲数4个,脉冲宽度3.5 ns,输出脉冲之间的间隔小于10 ns。     

Polarimetric SAR imaging of buried landmines

If the fields incident on a buried body of revolution are polarized vertically or horizontally (relative to the ground), the backscattered fields are exclusively copolarized (i.e., there are no cross-polarized backscattered fields). After substantiating this theoretically, measured ultrawideband (UWB) synthetic aperture radar (SAR) data are used for corroboration, considering real, buried landmines that approximate bodies of revolution     

A scheme to analyze conducting plates of resonant size using theconjugate-gradient method and the fast Fourier transform

A scheme for analyzing electrodynamic problems involving conducting plates of resonant size using the conjugate-gradient (CG) method and the fast Fourier transform (FFT) is presented in detail. The problems are analyzed by solving their corresponding electric-field integral equation. The procedure is made easy and systematic by using a sampling process with rooftop functions to represent the induced current and pulses to average the fields. These functions have been widely used in moment-method (MM) applications. The scheme is an efficient numerical tool, benefiting from the good convergence and low memory requirements of the CG and the low CPU time consumed in performing convolutions with the FFT. In comparison with the MM, the scheme avoids the storage of large matrices and reduces the computer time by an order of magnitude. Several results are presented and compared with analytical, numerical, or measured values that appear in the literature     

Computationally Efficient Spatial Interpolators Based on Spartan Spatial Random Fields

This paper addresses the spatial interpolation of scattered data in $d$ dimensions. The problem is approached using the theory of Spartan spatial random fields (SSRFs), focusing on a specific Gaussian SSRF, i.e., the fluctuation-gradient-curvature (FGC) model. A family of spatial interpolators (predictors) is formulated by maximizing the FGC-SSRF probability density function at each prediction point, conditioned by the data. An analytical expression for the general uniform bandwidth Spartan (GUBS) predictor is derived. The linear weights of this predictor involve weighted summations of kernel functions over the sample and prediction points. Approximations for the sums are obtained at the asymptotic limit of a dense sampling network, leading to simplified explicit expressions of the weights. An asymptotic locally adaptive Spartan (ALAS) predictor is defined by means of a kernel family that involves a tunable local parameter. The relevant equations are fully developed in $d=2$. Using simulated data in two dimensions, we show that the ALAS prediction accuracy is comparable to that of ordinary kriging (OK), which is an optimal spatial linear predictor (SOLP). The numerical complexity of the ALAS predictor increases linearly with the sample size, in contrast with the cubic dependence of OK. For large data sets, the ALAS predictor is shown to be orders of magnitude faster than OK at the cost of a slightly higher prediction dispersion. The performance of the ALAS predictor and OK are compared on a data set of rainfall measurements using cross validation measures.      

Novel Spectrally Efficient UWB Pulses Using Zinc and Frequency‐Domain Walsh Basis Functions

In this paper, two sets of spectrally efficient ultra‐wideband (UWB) pulses using zinc and frequency‐domain Walsh basis functions are proposed. These signals comply with the Federal Communications Commission (FCC) regulations for UWB indoor communications within the stipulated bandwidth of 3.1 GHz to 10.6 GHz. They also demonstrate high energy spectral efficiency by conforming more closely to the FCC mask than other UWB signals described in the literature. The performance of these pulses under various modulation techniques is discussed in this paper, and the proposed pulses are compared with Gaussian monocycles in terms of spectral efficiency, autocorrelation, crosscorrelation, and bit error rate performance.     

Performance of ultra-wideband communications in the presence of interference

We analyze the performance of ultra-wideband (UWB) communications in the presence of interference. Closed-form expressions are provided for the jam resistance of UWB with binary pulse position modulation utilizing rectangular pulses. A simple approximation is obtained for the special case of tone interference. The jam resistance analysis is extended to more practical UWB waveforms such as Gaussian and Rayleigh monocycles. A comparison between the interference suppression capabilities of UWB and direct-sequence spread-spectrum (DS-SS) is carried out under conditions similar to both systems. It is shown that in most cases, the jam suppression of UWB is superior to that of DS-SS.     

VHF/UHF波段树干超宽带散射特性研究

本文用时域方法研究了树干的超宽带散射特性.由于树干及地面均为色散有耗媒质,因此树干散射特性是复杂的频率函数.时域有限差分算法(FDTD)尤其适合于此类具有色散特性的超宽带散射特性研究.运用FDTD算法建立起树干散射模型后,经过计算,可以得到整个时域过程的散射,对时域散射场进行快速傅立叶变换(FFT),则可获取全部感兴趣的超宽带频域特性.相对于矩量法(MOM)而言,FDTD能更方便快捷地为叶簇穿透(FOPEN)检测目标提供全面的时频信息.     

Transient currents on a cylinder illuminated by an impulsive plane wave

An analytical and numerical study of the transient current density induced on a perfectly conducting circular cylinder has been carried out. Both TE and TM incident plane waves with impulsive time dependence are considered. Complete closed form expressions for the TE and TM current density at all points on the cylinder and for all time values are obtained by a functional interpolation of both large and small time asymptotic solutions. The complete expressions should he useful in future transient radar scattering problems for approximating the transient current behavior on portions of a complex scatterer. The numerical results are presented in the form of "snapshots" of the current density at specific instants of time. The results are interpreted in terms of specular reflection and creeping waves. The creeping wave pulses are seen to be a continuation of pulses generated on the illuminated surface; their propagation into the shadow region is a highly dispersive phenomenon. The natural mode spectrum is seen to have both discrete and continuous components with the response at very large times determined by the latter.     

用于MB-OFDM UWB系统的FFT/IFFT处理器的设计与实现

设计了一种应用于超宽带(UWB)无线通信系统中的FFT/IFFT处理器。该处理器采用基24算法进行FFT运算,利用8路并入并出的流水线结构实现该算法,提高了处理器的数据吞吐率,降低了芯片功耗。提出了一种新颖的数据处理方式,在保证信噪比的情况下节约了逻辑资源。在乘法器的设计环节,针对UWB系统的具体特点,在结构上对乘法器进行了改进和优化,提高了乘法器的性能。最后,设计的FFT/IFFT处理器采用TSMC 0.18μm CMOS标准工艺库综合,芯片的内核面积为0.762mm2(不含测试电路)。在1.8V,25℃条件下,最大工作时钟317.199MHz,在UWB典型的工作频率下,内核功耗为33.5304mW。