In a previous article, an optical array imaging system has been presented. In this system, first, a set of array data is collected by repeatedly illuminating the object with laser light from each array element, detecting the reflected light as interferogram, and extracting the reflected wave field based on the spatial heterodyne detection. Then, an eigenvalue analysis is applied to the data to derive the wave field that would backpropagate and focus at a single point on the object; in this case, the iterative algorithm is used which indicates that the object point may have the largest reflectivity. It was shown experimentally that the single-point-focusing was attained for objects having several such parts with almost the same reflectivities. A preliminary study by computer simulation, however, indicates that the probability with which the wave focuses at multiple object points would not be small enough, resulting in a degraded image with ghost image components. In this paper, the array data within subaperture regions are selectively used to attain the single-point-focusing and obtain a good image for any object. First, it is shown analytically that the change in the dimension or center position of the aperture is effective to change the eigenvector so that it attains the single-point-focusing. Then, a procedure to find the optimum subapertures and a measure evaluating the degree of single-point-focusing for the eigenvector are presented. The method is examined in detail using experimentally obtained array data, and the results show that the method is effective in obtaining good images for any objects without sacrificing image resolution. When we compare the imaging system to an automatic focusing camera, it may be said that the additional processings enhance the capability of automatic focusing to a great degree.

This paper discusses methods and numerical simulations of one and two dimensional profilings for an arbitrary convex conducting target using the electromagnetic backscattering. The inversions for profile reconstructions are based upon the modified extended physical optics method (EPO). The modified EPO method assumes the modified physical optics current properly over the entire surface of conducting scatterers. First, the cross sectional area along a line of sight is reconstructed by performing iteratively the Fourier transform of the backscattering field in the frequency domain. Second, the two dimensional profile is reconstructed by synthesizing the above one dimensional results for several incident angles. Numerical simulation results of the target profiling are shown for spheroids and cone-spheroid.

A systematic theory of the optimum sub-band interpolation using parallel wavelet filter banks presented with respect to a family of n-dimensional signals which are not necessarily band-limited. It is assumed that the Fourier spectrums of these signals have weighted L2 norms smaller than a given positive number. In this paper, we establish a theory that the presented optimum interpolation functions satisfy the generalized discrete orthogonality and minimize the wide variety of measures of error simultaneously. In the following discussion, we assume initially that the corresponding approximation formula uses the infinite number of interpolation functions having limited supports and functional forms different from each other. However, it should be noted that the resultant optimum interpolation functions can be realized as the parallel shift of the finite number of space-limited functions. Some remarks to the problem of distinction of images is presented relating to the generalized discrete orthogonality and the reciprocal property for the proposed approximation.

A fully focused Synthetic Aperture Radar (SAR) image can be obtained only if the raw data processing procedure takes into account the space-variance of the SAR system transfer function. This paper presents a nonconventional Fast Fourier Transform (FFT) algorithm which allows an efficient compensation of the space-variant effect. It is specially designed for the SAR data of the Japanese Earth Resources Satellite (JERS-1) but can be extended to different cases.

A quantum interconnection scheme by controlling the Coulomb interaction between ballistic electrons is proposed in which 2DEG (2 dimensional electron gas) plays the role of an interconnection medium. This concept brings up new possibilities for the interconnection approach in various fields such as parallel processing, telecommunications switching, and quantum functional devices. Cross-over interconnection, address collision, and address selection in a quantum information network system were analyzed as the first step. The obtained results have shown that the interconnection probability can be controlled by the velocity and timing of the ballistic electron emission from the emitter electrode. The proposed interconnection scheme is expected to open up a new field of quantum effect integrated circuits in the 21st century.

In multidimensional signal sampling, the orthogonal sampling scheme is the simplest one and is employed in various applications, while a non-orthogonal sampling scheme is its alternative candidate. The latter sampling scheme is used mainly in application where the reduction of the sampling rate is important. In three-dimensional (3-D) signal processing, there are two typical sampling schemes which belong to the non-orthogonal samplings; one is face-centered cubic sampling (FCCS) and the other is body-centered cubic sampling (BCCS). This paper proposes a new design method for 3-D band-limiting FIR filters required for such non-orthogonal sampling schemes. The proposed method employs the McClellan transformation technique. Unlike the usual 3-D McClellan transformation, however, the proposed design method uses 2-D prototype filters and 2-D transformation filters to obtain 3-D FIR filters. First, 3-D general sampling theory is discussed and the two types of typical non-orthogonal sampling schemes, FCCS and BCCS, are explained. Then, the proposed design method of 3-D bandlimiting filters for these sampling schemes is explained and an effective implementation of the designed filters is discussed briefly. Finally, design examples are given and the proposed method is compared with other method to show the effectiveness of our methos.

Three dimensional (3-D) optics offers potential advantages to the massively-parallel systems over electronics from the view point of information transfer. The purpose of this paper is to survey some aspects of the 3-D optical interconnection technology for the future massively-parallel computing systems. At first, the state-of-art of the current optoelectronic array devices to build the interconnection networks are described, with emphasis on those based on the semiconductor technology. Next, the principles, basic architectures, several examples of the 3-D optical interconnection systems in neural networks and multiprocessor systems are described. Finally, the issues that are needed to be solved for putting such technology into practical use are summarized.

The singular point analysis, such as the Painlev test and Yoshida's test, is a computational method and has been implemented in a symbolic computational manner. But, in applying the singular point analysis to high dimensional and/or "complex" dynamical systems, we face with some computational difficulties. To cope with these difficulties, we propose a new numerical technique of the singular point analysis with the aid of the self-validating numerics. Using this technique, the singular point analysis can now be applicable to a wide class of high dimensional and/or "complex" dynamical systems, and in many cases dynamical properties such as the algebraic non-integrability can be proven for such systems.

This paper reviews the potential possibility and present status of trans-polyacetylene research toward realization of soliton molecular devices utilizing characteristics of the quasi-one-dimensional conductor. Properties of solitons in polyacetylene are summarized from a point of view to produce a new microelectronics beyond Si-LSI's. The limiting performance of soliton LSI's are roughly estimated. One bit information is stored in only 420 2. The information transmission rate of a wiring is 2104 Gb/s. The delay time per gate is 0.05 ps. For realization of this high performance devices, a lot of research must be carried out in future. A new circuit with new principles of operations must be developed to achieve the performance, where a localized soliton or a localized group of solitons are treated. Some systems, which may lead to development of logic circuits, are proposed. The problems in crystal quality and fabrication process are also discussed and some means against them are presented.

The hierarchies of multihead finite automata over a one-letter alphabet are investigated. Let SeH(k) [NSeH(k) ] denote the class of languages over a one-letter alphabet accepted by deterministic [nondeterministic] sensing two-way k-head finite automata. Let H (k)s[NH(k)s] denote the class of sets of square tapes over a one-letter alphabet accepted by two-dimensional four-way deterministic [nondeterministic] k-head finite automata. Let SeH(k)s[NSeH(k)s] denote the class of sets of square tapes over a one-letter alphabet accepted by two-dimensional four-way sensing deterministic [nondeterministic] k-head finite automata. This paper shows that SeH(k) SeH(k1) and NSeH(k) NSeH(k1) hold for all k3. It is also shown that H(k)s[NH(k)s] H(k1)s[NH (k1)s] and SeH (k)s[NSeH(k)s] SeH(k1)s[NSeH(k1)s] hold for all k1.

This paper briefly considers future broadcasting technologies, including digital television as a system for the near future and three-dimensional television as a part of a system to be developed rather later. However, due to limitations of space, this paper discusses only video technologies in detail. First, the status of bit reduction technologies for digital television is described and then satellite digital broadcasting and terrestrial digital broadcasting are also discussed. The authors stress the necessity of the further development of digital video compression technologies. Later, we discuss three-dimensional television, we describe requirements for the service and the present status of the technologies. And last, the paper considers the future prospects for a three-dimensional television service.

Novel three-dimensional structures for passive elements--inductors, capacitors, transmission lines, and airbridges--have been developed to reduce the area they consume in GaAs MMICs. These structures can be formed with a simple technology by electroplating along the sidewalls of a photoresist. Adopting the new structures, most passive elements in MMICs have been shrunk to less than 1/4 the size of conventional ones.

This paper studies multidimensional linear periodically shift-variant digital filters (LPSV filters). The notion of a generalized multidimensional transfer function is presented for LPSV filters. The frequency characteristic of the filters is discussed in terms of this transfer function. Since LPSV filters can decompose the spectrum of an input signal into some spectral partitions and rearrange the spectrum, LPSV filters can serve as a frequency scrambler. To show the effect of multidimensional frequency scramble, 2-D LPSV filters are designed based on the 1-D Parks-McClellan algorithm. The resultant LPSV filters divide the input spectrum into some components that are permuted and possibly inverted with keeping the symmetric of the spectrum. Experimental results are presented to illustrate the effectiveness of frequency scramble for real images.

In this paper, four simple nonlinear circuits with time-varying resistors are analyzed. These circuits consist of only four elements; a inductor, a capacitor, a diode and a time-varying resistor and are a kind of parametric excitation circuits whose dissipation factors vary with time. In order to analyze chaotic phenomena observed from these circuits a degeneration technique is used, that is, diodes in the circuits are assumed to operate as ideal switches. Thereby the Poincar maps are derived as one-dimensional maps and chaotic phenomena are well explained. Moreover, validity of the analyzing method is confirmed theoretically and experimentally.

A method is proposed for realizing any k-valued n-variable function with a celluler array, which consists of linear arrays (called input arrays) and a rectangular array (called control array). In this method, a k-valued n-variable function is divided into kn-1 one-variable functions and remaining (n1)-variable function. The parts of one-variable functions are realized by the input arrays, remaintng the (n1)-variable function is realized by the control array. The array realizing the function is composed by connecting the input arrays with the control array. Then, this array requires (kn2)kn-1 cells and the number is smaller than the other rectangular arrays. Next, a ternary cell circuit and a literal circuit are actually constructed with CMOS transistors and NMOS pass transistors. The experiment shows that these circuits perform the expected operations.

The design of N-dimensional (N-D) FIR filters requires in general an enormous computational effort. One of the most successful methods for design and implementation is the McClellan transformation. In this paper a numerically simple technique for determining the coefficients of the transformation is suggested. This appears to be the simplest available method for the design of N-D hyperspherically symmetric FIR filters with excellent symmetry.

One model of a laser is a set of differential equations called the Maxwell-Bloch equations. Actually, in a physical system, causing a chaotic behavior is very difficult. However the chaotic behavior can be observed easily in the system which has a mirror to feedback the delayed output.

This paper proposes a new design method of variable FIR digital filters. The method uses a multi-dimensional linearphase FIR filter as a prototype. The principle of the proposed method is based on the fact that the crosssectional characteristics of a 2-D filter along with a line vary if the intersection of this line is changed. The filter characteristics can be varied by recalculating all the filter coefficients from proposed equations, which leads to an advantage that the variable range is very wide. Another advantage is that the passband and stopband deviations are completely predetermined in the design procedures and that the passband edge can be accurately settled to a desired frequency while keeping the transition band width unchanged. First the proposed design method is explained and the effect of the transition band of 2-D filters is discussed. Then the calculation cost required in updating the filter coefficients are considered. Finally two design examples are presented and the proposed method is compared with the existing one, which shows the usefulness of our method.

Extended form of interpolatory approximation is presented for tne n-dimensional (n-D) signals whose generalized spectrums have weighted norms smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and the nonlinear approximations using the same generalized sample values.

An optical array imaging system is presented with basic experimental results. First, a remote object is illuminated with laser light at an angle and the reflected light is detected with an array sensor after interfering it with the reference light. This process is repeated by changing the illumination angle to collect a set of fringe patterns, which are A/D converted and stored in a harddisk in a computer. Then, the data are processed on a computer, first, to estimate the complex-amplitude object wave fields, second, to derive the eigenvector with the maximum eigenvalue for the correlation of the estimated object fields, and finally, to form an image of the object. The derivation of the eigenvector follows an iterative algorithm, which can be interpreted as the process of repeating backward wave propagation of the field between the two apertures illuminating and detecting laser light. The eigenvector field can be expected to backpropagate to focus at a point on the object with the maximum coefficient of reflection, so that a beam-steering operation is applied to the eigenvector to form an image of the object. The method uses only the information of the array data and the lateral spacings of the receiving array (CCD) elements. Hence, the method can give good images of objects even if the reference light is uncollimated with an unknown distorted wavefront, and even if the illuminating angles are imprecise in three dimensions. Basic experimental results clearly show the usefulness of the method.