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.

A simple method is given for obtaining new families of pseudonoise (PN) sequences based on chaotic non-linear maps. Such families are worse than the Gold and the Kasami families in terms of maximum correlation values. Nevertheless, such a method has several advantages: the generation is easy, and various families with an arbitrary family size and sequence period can be obtained primarily because non-linear maps have several parameters to be secret keys for communications security. Hence these sequences are good candidates of spreading sequences for CDMA.

A hardware algorithm for modular inversion is proposed. It is based on the extended Euclidean algorithm. All intermediate results are represented in a redundant binary representation with a digit set {0, 1,1}. All addition/subtractions are performed without carry propagation. A modular inversion is carried out in O (n) clock cycles where n is the word length of the modulus. The length of each clock cycle is constant independent of n. A modular inverter based on the algorithm has a regular cellular array structure with a bit slice feature and is very suitable for VLSI implementation. Its amount of hardware is proportional to n.

In this paper, we define an attributed random graph, which can be considered as a generalization of conventional ones, to include multiple attributes as well as numeric attribute instead of a single nominal attribute in random vertices and edges. Then we derive the probability equations for an attributed graph to be an outcome graph of the attributed random graph, and the equations for the entropy calculation of the attributed random graph. Finally, we propose the application areas to computer vision and machine learning using these concepts.

A laser system which has a mirror outside of it to feedback a delayed output has been described by the Maxwell-Bloch equations with time delay. It is shown that a chaotic behavior in the equations can be controlled by using a OPF control algorithm. Our numerical simulation indicates that the chaotic behavior is stabilized on 1, 2 periodic unstable orbits.

We propose a continuous speech recognition algorithm utilizing island-driven A* search. Conventional left-to-right A* search is probable to lose the optimal solution from a finite stack if some obscurities appear at the start of an input speech. Proposed island-driven A* search proceeds searching forward and backward from the clearest part of an input speech, and thus can avoid to lose the optimal solution from a finite stack.

The authors developed new measuring system (Holographic Pattern Measuring System [HPMS]), which is composed of both techniques of holography and graphic image processing, was used to measure the vibrations of a printed circuit board (PCB) due to operation of a mounted electromagnetic relay on it. The clear vibration patterns were obtained. By using pattern analysis processor, quantitative vibration patterns of the PCB surface were observed. Both the vibration patterns and displacements were changed by edge fixing way of the PCB.

In this paper, we show that without any unproven assumption, there exists a "four" move blackbox simulation perfect zero-knowledge interactive proof system of computational ability for any random self-reducible relation R whose domain is in BPP, and that without any unproven assumption, there exists a "four" move blackbox simulation perfect zero-knowledge interactive proof system of knowledge on the prime factorization. These results are optimal in the light of the round complexity, because it is shown that if a relation R has a three move blackbox simulation (perfect) zero-knowledge interactive proof system of computational ability (or of knowledge), then there exists a probabilistic polynomial time algorithm that on input x ∈ {0, 1}*, outputs y such that (x, y)∈R with overwhelming probability if x ∈dom R, and outputs "⊥" with probability 1 if x dom R.

To realize next-generation high performance ULSI processors, it is a very important issue to reduce the critical delay path which is determined by a cascade chain of basic gates. To design highly parallel digital operation circuits such as an adder and a multiplier, it is difficult to find the optimal code assignment in the non-linear digital system. On the other hand, the use of the linear concept in the digital system seems to be very attractive because analytical methods can be utilized. To meet the requirement, we propose a new design method of highly parallel linear digital circuits for unary operations using the concept of a cycle and a tree. In the linear digital circuit design, the analytical method can be developed using a representation matrix, so that the search procedure for optimal locally computable circuits becomes very simple. The evaluations demonstrate the usefulness of the circuit design algorithm.

This paper's main objective is to analyze several procedures which select the model g among a set G of stochastic models to minimize the value of an information criterion in the form of L(g)H[g](zn)+(k(g)/2)c(n), where zn is the n observed data emitted by an information source θ which consists of the model gθ∈G and k(gθ) mutually independent stochastic parameters in the model gθ∈G, H[g](zn) is (-1) (the maximum log likelihood value of the data zn with respect to a model g∈G), and c(n) is a predetermined function (penalty function) of n which controls the amount of penalty for increasing the model size. The result is focused on specific performances when the information criteria are applied to the framework of so-called state decomposition. Especially, upper bounds are derived of the following two performance measures for each penalty function c(n): the error probability of the model selection, and the average Kullback-Leibler information between the true information source and the estimated information source.

It is known that the resolution conversion based on orthogonal transform has a problem that is difference of luminance between the converted image and the original. In this paper, the scale factor of the system employing various orthogonal transforms is generally formulated by considering the DC gain, and the condition of alias free for DC component is indicated. If the condition is satisfied, then the scale factor is determined by only the basis functions.

Design of high-speed digital circuits such as adders and multipliers is one of the most important issues to implement high performance VLSI systems. This paper proposes a new multiple-valued code assignment algorithm to implement locally computable combinational circuits for k-ary operations. By the decomposition of a given k-ary operation into unary operations, a code assignment algorithm for k-ary operations is developed. Partition theory usually used in the design of sequential circuits is effectively employed for optimal code assignment. Some examples are shown to demonstrate the usefulness of the proposed algorithm.

This paper's main objective is to clearly describe the construction of a universal code for minimizing Davisson's minimax redundancy in a range where the true model and stochastic parameters are unknown. Minimax redundancy is defined as the maximum difference between the expected persymbol code length and the per-symbol source entropy in the source range. A universal coding scheme is here formulated in terms of the weight function, i.e., a method is presented for determining a weight function which minimizes the minimax redundancy even when the true model is unknown. It is subsequently shown that the minimax redundancy achieved through the presented coding method is upper-bounded by the minimax redundancy of Rissanen's semi-predictive coding method.

A new shared multibuffer architecture for high-speed ATM (Asynchronous Transfer Mode) switch LSIs is described. Multiple buffer memories are located between two crosspoint switches. By controlling the input-side crosspoint switch so as to equalize the utilization rate of each buffer memory, these multiple buffer memories can be recognized as a single large shared buffer memory. High utilization efficiency of buffer memory can thus be achieved, and the cell loss ratio is minimized. By accessing the buffer memories in parallel via crosspoint switches, the time required to access the buffer memories is greatly reduced. This feature enables high-speed operation of the switch. The shared multibuffer architecture was implemented in a switch LSI using 0.8-µm BiCMOS process technology. Experimental results revealed that this chip can operate at more than 125 MHz. Bit-sliced eight switch LSIs operating at 78 MHz construct a 622-Mb/s 88 ATM switching system with a buffer size of 1,024 ATM cells. Power consumption of the switch LSI was 3 W.

A method to analyze two-pattern test capabilities of autonomous test pattern generator (TPG) circuits for use in built-in self-testing are described. The TPG circuits considered here include arbitrary autonomous linear sequential circuits in which outputs are directly fed out from delay elements. Based on the transition matrix of a circuit, it is shown that the number of distinct transitions in a subspace of state variables can be obtained from rank of the submatrix. The two-pattern test capabilities of LFSRs, cellular automata, and their fast parallel implementation are investigated using the transition coverage as a metric. The relationships with dual circuits and reciprocal circuits are also mentioned.

Toward the age of ultra-high-density digital ULSI systems, the development of new integrated circuits suitable for an ultimately fine geometry feature size will be an important issue. Resonant-tunneling (RT) diodes and transistors based on quantum effects in deep submicron geometry are such kinds of key devices in the next-generation ULSI systems. From this point of view, there has been considerable interests in RT diodes and transistors as functional devices for circuit applications. Especially, it has been recognized that RT functional devices with multiple peaks in the current-voltage (I-V) characteristic are inherently suitable for implementing multiple-valued circuits such as a multiple-state memory cell. However, very few types of the other multiple-valued logic circuits have been reported so far using RT devices. In this paper, a new multiple-valued programmable logic array (MVPLA) based on RT devices is proposed for the next-generation ULSI-oriented hardware implementation. The proposed MVPLA consists of 3 basic building blocks: a universal literal circuit, an AND circuit and a linear summation circuit. The universal literal circuit can be directly designed by the combination of the RT diodes with one peak in the I-V characteristic, which is programmable by adjusting the width of quantum well in each RT device. The other basic building blocks can be also designed easily using the wired logic or current-mode wired summation. As a result, a highdensity RT-diode-based MVPLA superior to the corresponding binary implementation can be realized. The device-model-based design method proposed in this paper is discussed using static characteristics of typical RT diode models.

In this paper we discuss a neural network model that can recognize patterns rotated at various angles. The model employs copy learning, a learning method entirely different from those used in conventional models. Copy-Learning is an effective learning method to attain the desired objective in a short period of time by making a copy of the result of basic learning through the application of certain rules. Our model using this method is capable of recognizing patterns rotated at various angles without requiring mathematical preprocessing. It involves two processes: first, it learns only the standard patterns by using part of the network. Then, it copies the result of the learning to the unused part of the network and thereby recognizes unknown input patterns by using all parts of the network. The model has merits over the conventional models in that it substantially reduces the time required for learning and recognition and can also recognize the rotation angle of the input pattern.

More than 500 articles in the field of analog circuits in the last two decades are surveyed and about 170 of which are listed in the References. These are mainly included in the Transactions of IEICE. The survey are made on the five fields; general analog circuit technology, modeling and simulation, active RC filters, switched capacitor circuits, and A/D and D/A converters.

Intermittent chaos was observed in the silicon thyristor circuit without external elements of L and C, under the condition of ac excitation at the anode. Lorenz plot reconstructed from the experimental waveform and the numerical simulation of this kind of intermittency fairly agreed with each other.

Current status and critical issues of the material and device technology towards constructing new architecture LSIs based on quantum-mechanical principles are reviewed in an attempt to draw attention of systems workers to the field. Limitations of the present-day LSI architecture are discussed from the viewpoints of material science and device physics. New quantum mechanical phenomena in the quantum structures are reviewed. Then, key material and processing issues for fabrication of desired quantum structures are briefly discussed. Finally, the basic operation principles the quantum devices and possible architectures of quantum LSIs are discussed.