Various models of a neuron have been proposed and many studies about them and their networks have been reported. Among these neurons, this paper describes a study about the model of a neuron providing its own feedback input and possesing a chaotic dynamics. Using a return map or a histogram of laminar length, type-I intermittency is recognized in a recurrent neuron and its network. A posibility of controlling dynamics in recurrent neural networks is also mentioned a little in this paper.

In this paper, we are concerned with a problem of obtaining an approximate solution of a finite-dimensional nonlinear equation with guaranteed accuracy. Assuming that an approximate solution of a nonlinear equation is already calculated by a certain numerical method, we present computable conditions to validate whether there exists an exact solution in a neighborhood of this approximate solution or not. In order to check such conditions by computers, we present a method using rational arithmetic. In this method, both the effects of the truncation errors and the rounding errors of numerical computation are taken into consideration. Moreover, based on rational arithmetic we propose a new modified Newton interation to obtain an improved approximate solution with desired accuracy.

This paper describes a monolithic 10-b A/D converter that realized a maximum conversion frequency of 300 MHz. Through the development of the interpolated-parallel scheme, the severe requirement for the transistor Vbe matching can be alleviated drastically, which improves differential nonlinearity (DNL) significantly to within 0.4 LSB. Furthermore, an extremely small input capacitance of 8 pF can be attained, which translates into better dynamic performance such as SNR of 56 dB and THD of 59 dB for an input frequency of 10 MHz. Additionally, the folded differential logic circuit has been developed to reduce the number of elements, power dissipation, and die area drastically. Consequently, the A/D converter has been implemented as a 9.0 4.2-mm2 chip integrating 36K elements, which consumes 4.0 W using a 1.0-µm-rule, 25-GHz ft, double-polysilicon self-aligned bipolar technology.

With increases in frequency and density of RISC microprocessors due to rapid advances in architecture, circuit and fine device technologies, power consumption becomes a bigger concern. Supply voltage should be reduced from 5 V to 3.3 V. In this paper, several novel circuits using 0.5µm BiCMOS technology are proposed. These can be applied to a superscalar RISC microprocessor at 3.3 V power supply or below. High speed and low power consumption characteristics are achieved in a floating-point data path, an integer data path and a TLB by using the proposed circuits. The three concepts behind the proposed high speed circuit techniques at low voltage are summarized as follows. There are a number of heavy load paths in a microprocessor, and these become critical paths under low voltage conditions. To achieve high speed characteristics under heavy load conditions without increasing circuit area, low voltage swing operation of a circuit is effective. By exploiting the high conductance of a bipolar transistor, instead of using an MOS transistor, low swing operation can be got. This first concept is applied to a single-ended common-base sense circuit with low swing data lines in the register file of a floating and an integer data path. Both multi-series transistor connections and voltage drops by Vth of MOS transistors and Vbe of bipolar transistors also degrade the speed performance of a circuit. Then the second concept employed is a wired-OR logic circuit technique using bipolar transistors which is applied to a comparator in the TLB instead of multi-series transistor connections of CMOS circuits. The third concept to overcome the voltage drops by Vth and Vbe is addition of a pull up PMOS to both the path logic adder and the BiNMOS logic gate to ensure the circuits have full swing operation.

Process and device technologies of CMOS devices for low-voltage operation are described. First, optimum power-supply voltage for CMOS devices is examined in detail from the viewpoints of circuit performance, device reliability and power dissipation. As a result, it is confirmed that power-supply voltage can be reduced without any speed loss of the CMOS device. Based upon theoretical understanding, the author suggests that lowering threshold voltage and reduction of junction capacitance are indispensable for CMOS devices with low-voltage supply, in order to improve the circuit performance, as expected from MOS device scaling. Process and device technologies such as Silicon On Insulator (SOI) device, low-temperature operation and CMOS Shallow Junction Well FET (CMOS-SJET) structure are reviewed for reduction of the threshold voltage and junction capacitance which lead to high-seed operation of the COMS device at low-voltage.

This paper presents Bi-CMOS current-mode multiple valued logic circuit with 1.5 V supply voltage. This circuit is composed of current mirror, threshold detector and current source. This circuit has advantages such as high accuracy, high speed, high density and low supply voltage. So, it is possible to realize high-radix multiple valued logic circuit. As an other application of the proposed circuit, a processing unit of fuzzy inference is given. This circuit operates with high speed and high accuracy. The circuit simulation of the proposed circuit has been performed using SPICE2 program.

Design of locally computable combinational circuits is a very important subject to implement high-speed compact arithmetic and logic circuits in VLSI systems. This paper describes a multiple-valued code assignment algorithm for the locally computable combinational circuits, when a functional specification for a unary operation is given by the mapping relationship between input and output symbols. Partition theory usually used in the design of sequential circuits is effectively employed for the fast search for the code assignment problem. Based on the partition theory, mathematical foundation is derived for the locally computable circuit design. Moreover, for permutation operations, we propose an efficient code assignment algorithm based on closed chain sets to reduce the number of combinations in search procedure. Some examples are shown to demonstrate the usefulness of the algorithm.

By adding a linear resistor in series with the inductor in Chua's circuit, we obtain a circuit whose state equation is topologically conjugate (i.e., equivalent) to a 21-parameter family C of continuous odd-symmetric piecewise-linear equations in R3. In particular, except for a subset of measure zero, every system or vector field belonging to the family C, can be mapped via an explicit non-singular linear transformation into this circuit, which is uniquely determined by 7 parameters. Since no circuit with less than 7 parameters has this property, this augmented circuit is called an unfolding of Chua's circuit--it is analogous to that of "unfolding a vector field" in a small neighborhood of a singular point. Our unfolding, however, is global since it applies to the entire state space R3. The significance of the unfolded Chua's Circuit is that the qualitative dynamics of every autonomous 3rd-order chaotic circuit, system, and differential equation, containing one odd-symmetric 3-segment piecewise-linear function can be mapped into this circuit, thereby making their separate analysis unnecessary. This immense power of unification reduces the investigation of the many heretofore unrelated publications on chaotic circuits and systems to the analysis of only one canonical circuit. This unified approach is illustrated by many examples selected from a zoo of more than 30 strange attractors extracted from the literature. In addition, a gallery of 18 strange attractors in full color is included to demonstrate the immensely rich and complex dynamics of this simplest among all chaotic circuits.

A new redundancy technique especially suitable for ultra-high-speed static RAMs (SRAMs) has been developed. This technique is based on a decoding-method that uses two kinds of fuses without introducing any additional delay time. One fuse is initially ON and can be turned OFF afterwards, if necessary, by a cutting process using a focused ion beam (FIB). The other is initially OFF and can be turned ON afterwards by a connecting process using laser chemical vapor deposition (L-CVD). This technique is applied to a 64 kbit SRAM having a 1.5-ns access time. The experimental results obtained through an SRAM chip repaired using this redundancy technique show that this technique does not introduce any increase in the access time and does not reduce the operational margin of the SRAM.

This paper describes a novel but simple method of implementing waveform relaxation technique for bipolar circuits involving ECL gates. This method performs gate level partitioning of ECL circuits not only during the cutoff state of the input transistor but also when the input transistor is in its active state. Partitioning at all times has become possible due to the favorable property of input and output stages of ECL gates. It is shown that this method is faster than direct method even when the circuits containing only few gates is simulated. Further, it is shown that the present method is applicable to the case where the interconnections between the ECL gates is treated as lossy transmission lines.

This paper describes the novel relaxation-based algorithm for the harmonic analysis of nonlinear circuits. First, we present Iterated Spectrum Analysis based on harmonic balance method, where the harmonic balance method is applied to every node independently. As a result, we can avoid dealing with large scale Jacobian matrices and reduce the total simulation time, compared with the conventional method based on Galerkin's procedure or the harmonic balance method. Next, we define the frequency domain latency. Furthermore, we refer to the possibility for exploitation of three types of latency, i.e., relaxation iteration latency, frequency domain latency and Newton iteration latency. And we propose the multirate-sampling technique based on the consideration of the frequency domain latency. Finally, we apply the present technique to the simple analog circuit simulation and verify its availability for the harmonic analysis.

This paper studies a method for a parallel implementation of digital half toning technique, which converts continuous tone images into monotone one without losing fidelity of images. A new modified algorithm for half toning is proposed, which is able to be implemented on a rectangular or one dimensional parallel multi-processor array as a part of extensions of space partitioning image processings. The purpose of this paper is primarily to apply space partitioning local image processing technique to nonlinear recursive algorithms. The target is to achieve a fast half toning with high quality. For that propose, local directional error diffusion techniques will be introduced, which enable original recursive error diffusion half toning to be converted into a local processing algorithm without losing its original advantages of producing high quality images. The characteristics of proposed methods will be analyzed and the advantages of our algorithm of high speed processing and high quality will be demonstrated by showing the results of simulations for typical examples.

A model of a single neuron with chaotic dynamics is implemented with current-mode circuit design technique. The existence of chaotic dynamics in the circuit is demonstrated by simulation with SPICE3. The proposed circuit is suitable for implementing a chaotic neural network composed of such neuron models on a VLSI chip.

In this paper, we propose an algorithm of O(|V|min{k,|V|,|A|}|A|) time complexity for finding all k-edge-connected components of a given digraph D=(V,A) and a positive integer k. When D is symmetric, incorporating a preprocessing reduces this time complexity to O(|A|+|V|2+|V|min{k,|V|}min{k|V|,|A|}), which is at most O(|A|+k2|V|2).

Surface reconstruction and visualization from sparse and incomplete surface data is a fundamental problem and has received growing attention in both computer vision and graphics. This paper presents a computational scheme for realistic visualization of free-formed surfaces from 3D range images. The novelty of this scheme is that by integrating computer vision and computer graphics techniques, we dynamically construct a mesh representation of the arbitrary view of the surfaces, from a view-invariant shape description obtained from 3D range images. We outline the principle of this scheme and describle the frame work of a graphical reconstruction model, we call arbitrarily oriented meshes', which is developed based on differential geometry. The experimental results on real range data of human faces are shown.

In this paper, we discuss secure protocols for shared computation of algorithms associated with digital signature schemes based on discrete logarithms. Generic solutions to the problem of cooperatively computing arbitraty functions, though formally provable according to strict security notions, are inefficient in terms of communication--bits and rounds of interaction--; practical protocols for shared computation of particular functions, on the other hand, are often shown secure according to weaker notions of security. We propose efficient secure protocols to share the generation of keys and signatures in the digital signature schemes introduced by Schnorr (1989) and ElGamal (1985). The protocols are built on a protocol for non-interactive verifiable secret sharing (Feldman, 1987) and a novel construction for non-interactively multiplying secretly shared values. Together with the non-interactive protocols for shared generation of RSA signatures introduced by Desmedt and Frankel (1991), the results presented here show that practical signature schemes can be efficiently shared.

Practical linewidth measurement accuracy better than 0.02 µm 3 sigma that meets the production requirement for devices with sub-half micron features, was achieved in a field emission scanning electron-beam metrology system (Hitachi S-7000). In order to establish high accuracy linewidth measurement, it was found in the study that reduction of electron-beam diameter and precise control of operating conditions are significantly effective. For the purpose of reducing electron-beam diameter, a novel electron optical system was adopted to minimize the chromatic aberration which defines electron-beam profile. As a result the electron beam diameter was reduced from 20 nm to 16 nm. In order to reduce measurement uncertainties associated with actual operating conditions, a field emission electron gun geometry and an objective lens current monitor were investigated. Then the measurement uncertainties due to operating conditions was reduced from 0.016 µm to 0.004 µm.

Robust-fault tolerance is a property that a computational result becomes nearly equal to the correct one at the occurrence of faults in digital system. There are many cases where the safety of digital control systems can be maintained if the property is satisfied. In this paper, robust-fault-tolerant three-valued arithmetic modules such as an adder and a multiplier are proposed. The positive and negative integers are represented by the number of 1's and 1's, respectively. The design concept of the arithmetic modules is that a fault makes linearly additive effect with a small value to the final result. Each arithmetic module consists of identical submodules linearly connected, so that multi-stage structure is formed to generate the final output from the last submodule. Between the input and output digits in the submodule some simple functional relation is satisfied with respect to the number of 1's and 1's. Moreover, the output digit value depends on very small portion of the submodules including the input digits. These properties make the linearly additive effect with a small value to the final result in the arithmetic modules even if multiple faults are occurred at the input and output of any gates in the submodules. Not only direct three-valued representation but also the use of three-valued logic circuits is inherently suitable for efficient implementation of the arithmetic VLSI system. The evaluation of the robust-fault-tolerant three-valued arithmetic modules is done with regard to the chip size and the speed using the standard CMOS design rule. As a result, it is made clear that the chip size can be greatly reduced.

Low-sensitivity digital filters are required for accurate signal processing. Among many low-sensitivity digital filters, a method using complex allpass circuits is well-known. In this paper, a new synthesis of complex allpass circuits is proposed. The proposed synthesis can be realized more easily either only in the z-domain or in the s-domain than conventional methods. The key concept for the synthesis is based on the factorization of lossless scattering matrices. Complex allpass circuits are interpreted as lossless digital two-port circuits, whose scattering matrices are factored. Furthermore, in the cases of Butterworth, Chebyshev and inverse Chebyshev responses, the explicit formulae for multiplier coefficients are derived, which enable us to synthesize the objective circuits directly from the specifications in the s-domain. Finally design examples verify the effectiveness of the proposed method.

The main interest of this paper is the theoretical analysis of a recursive periodically time varying digital filter. The generalized transfer function of a recursive periodically time varying digital filter was obtained from its difference equation. It was proved that by making use of the generalized transfer function, we can not only derive the input and output relationship of a recursive periodically time varying digital filter easily but also obtain its equivalent structure effectively. An interesting property of a recursive periodically time varying digital filter was also derived by making use of its generalized transfer function. Moreover, it was completed in this paper the investigation of the generalized transfer functions and impulse responses of other periodically time varying models, including an input sampling polyphase model and an output sampling polyphase model. Meanwhile, the multirate Quadrature Mirror Filter bank system was proved by the authors to be a periodically time varying system. Several examples were also provided to illustrate the effectiveness of using the generalized transfer function to obtain the equivalent structure of a recursive periodically time varying digital filter.