A discrete-time neuron model having a refractory period and containing a binary hysteresis output function is introduced. A detailed mathematical analysis of the output response is carried out and the necessary and sufficient condition which a sequence must satisfy in order to be designated as a periodic response of the neuron model under a constant or periodic stimulation is given.

The demand for high-speed image processing is obvious in many real-world computations such as robot vision. Not only high throughput but also small latency becomes an important factor of the performance, because of the requirement of frequent visual feedback. In this paper, a high-performance VLSI image processor based on the multiple-valued residue arithmetic circuit is proposed for such applications. Parallelism is hierarchically used to realize the high-performance VLSI image processor. First, spatially parallel architecture that is different from pipeline architecture is considered to reduce the latency. Secondly, residue number arithmetic is introduced. In the residue number arithmetic, data communication between the mod mi arithmetic units is not necessary, so that multiple mod mi arithmetic units can be completely separated to different chips. Therefore, a number of mod mi multiply adders can be implemented on a single VLSI chip based on the modulus-slice concept. Finally, each mod mi arithmetic unit can be effectively implemented in parallel structure using the concept of a pseudoprimitive root and the multiple-valued current-mode circuit technology. Thus, it is made clear that the throughout use of parallelism makes the latency 1/3 in comparison with the ordinary binary implementation.

Research in optical microwave interaction, at its earlier stages, was spured by the desire to make an optically fed and controlled phased array antenna with monolithic microwave integrated circuit (MMIC) transmit/receive (T/R) modules. In the first part of this paper experimental results are presented demonstrating an optically fed phased array antenna operating at C-band in the 5.5 to 5.8 GHz frequency range. The present system consists of two optically fed 14 subarrays with MMIC based active T/R modules. Custom designed fiber optic links have been employed to provide distribution of data and frequency reference signals to phased array antenna. One of the challenges of the future is the development of better interfaces between electronic (microwave) and optical components, including the chip level merging of photonic and electronic components on III-V compounds. This aspect of the research is covered in the second half of the paper.

This paper proposes the laser diode receiving mixer which utilizes the laser diode nonlinearity. The laser diode receiving mixer can make the bidirectional fiber optic link simple and cost-effective. These laser diodes are applied to configure the LD-LD MIX link which consists of two laser diodes, two local oscillators, two microwave switches and one fiber cable. The LD-LD MIX link configuration is extended to introduce novel two fiber optic links, i.e. the local suppression link and the image cancellation link. These links utilize the combination of microwave circuits and optical devices. These configurations are experimentally investigated at microwave frequencies and the QPSK signal transmission is successfully demonstrated.

This paper proposes fiber optic link configurations for use in microwave and millimeter-wave transmission Higher frequencies,such as millimeter-waves, are well suited to transmission of broadband signals. Photodiodes can operate simultaneously as optical detectors and microwave frequency mixers thanks to their inherent nonlinearities. This allows us to increase the output radio frequncy. But, this also generates undesired spurious frequencies, necessitating the use of microwave filters. We discuss here two fiber optic link configurations, i.e., balanced/image canceling photodiode mixing links utilizing the combination of microwave functional components and optical devices to suppress the local/image frequency without filters. These configurations are experimentally investigated at microwave frequencies and local/image frequency suppression is successfully demonstrated.

The performance of a traveling wave Mach-Zehnder external optical modulator (EOM) mixer is described and compared with a conventional diode mixer's performance. Additionally, by incorporating external circuitry, the EOM mixer can provide single sideband suppression in addition to the inherent local oscillator suppression. The basic frequency mixing function of the EOM mixer is first described theoretically and then extended to the sideband suppression case. The performance of both configurations is also presented. Achievable electrical isolation between LO (carrier) and RF (upconverted data signal at LOIF) frequencies is greater than 95 dB and total link conversion loss is 37 dB in this demonstration with a laser diode source. Sideband suppression of greater than 43 dB with respect to the desired sideband at the photodetector output is achieved.

Recently, making good use of the advantages of optical fibers such as wide bandwidth and low loss, it has been investigated to apply optical fiber link to microcellular mobile communication systems. This system allows complex equipment to be located at microcell control station, and can simplify the equipment of microcell base stations compared with the conventional systems. In this paper, we analyze the performance of optical fiber link for microcellular mobile communication systems, taking radio link fading and optical link nonlinear distortions into consideration. From the calculated results, it is disclosed that the effect of both items does not generate the significant excess CNR degradation, and the correct CNR can be approximately calculated by using CNR of non-faded case. And it is also disclosed that the degradation of CNR due to optical link nonlinearity is slightly improved by taking adjacent channel signal fade into consideration.

Given an integer N, it is easy to determine whether or not N is prime, because a set of primes is in LPP. Then given a composite number N, is it easy to determine whether or not N is of a specified form? In this paper, we consider a subset of odd composite numbers +1MOD4 (resp. +3MOD4), which is a subset of odd composite numbers consisting of prime factors congruent to 1 (resp. 3) modulo 4, and show that (1) there exists a four move (blackbox simulation) perfect ZKIP for the complement of +1MOD4 without any unproven assumption; (2) there exists a five move (blackbox simulation) perfect ZKIP for +1MOD4 without any unproven assumption; (3) there exists a four move (blackbox simulation) perfect ZKIP for +3MOD4 without any unproven assumption; and (4) there exists a five move (blackbox simulation) statistical ZKIP for the complement of +3MOD4 without any unproven assumption. To the best of our knowledge, these are the first results for a language L that seems to be not random self-reducible but has a constant move blackbox simulation perfect or statistical ZKIP for L and without any unproven assumption.

Noise properties in cascaded erbium-doped fiber amplifiers used in subcarrier multiplexed analog video distribution systems are experimentally examined. The noise dependency on signal wavelength is measured for a 4 stage EDFA cascade, and it is shown that an optical narrow bandpass filter is not necessary after each fiber amplifier for signal wavelength of 1.5511.560µm and that optical bandpass filters are necessary for shorter wavelength than 1.551µm to avoid the noise degradation by spontaneous-spontaneous beat noise. Finally, the attainable distribution loss is estimated for AM and FM video distribution systems.

This paper presents an efficient multi-precision modular-multiplication algorithm which minimizes the calculation RAM space required when implementing public-key schemes with software on general-purpose computers including smart cards and personal computers. Many modular-multiplication algorithms cannot be efficiently realized on small systems due to their high RAM consumption. The Montgomery algorithm, which can rapidly perform modular multiplication, has received a lot of attention. Unfortunately, the Montgomery algorithm is difficult to implement, especially in smart cards which have extremely limited RAM space. Furthermore, when the modulus of modular multiplication is frequently changed, or when the number of permissible repeated modular multiplications is small, pre- and post-processing operations such as conversion from/to the Montgomery space become wasteful. The proposed algorithm avoids these problems because it requires only half the RAM space and no pre- and post-processing operations. The algorithm is a radical extension to the approximation methods that use the most significant bits and our newly proposed lookahead determination method. This paper gives a proof of the completeness of this method, describes implementation results using a smart card, introduces a theory supported by the results, and considers the optimal technique to enhance the speed of this method.

In this paper a recursive form of Welch-Berlekamp (W-B) algorithm is provided which is a novel and fast decoding algorithm.

Optical fiber transmission systems have advanced rapidly with the advent of highly advanced electronic and optical devices. This paper introduces several IC technologies required for ultra-high-speed optical transmission and overviews current IC technologies used for the existing and developing optical fiber trunk transmission systems. Future trends in device technologies are also discussed.

This letter proposes a non-metallic optical fiber cable which contains fiber ribbons inserted into slots, with a high impact resistant sheath which affords protection against shotgun pellets. The protective performance of the materials is investigated experimentally. Based on the results, non-metallic 100-fiber cable with a high impact resistant sheath was manufactured and its performance was evaluated. It is confirmed that this cable has excellent transmission, mechanical and antiballistic characteristics.

We indicate the existence of optimum expanded mode field diameters in thermally-diffused expanded core (TEC) fiber. The optimum ranges under our experimental conditions were from 14µm to 18µm for both 1.3µm-single-mode fiber and 1.55µm-dispersion-shifted fiber. By applying the TEC fiber fabricated in our experimental conditions to a multifiber connector, the connection loss can be reduced to less than 0.2dB without improving fiber and connector ferrule fabrication accuracy.

Two types of multicast error control protocols based on a product code structure with or without interleaving are considered. The performances of these protocols are analyzed on burst error channels modeled by Gilbert's two-state Markov chain. The numerical results reveal that the interleaving does not always succeed in improving the performance of the protocol proposed in Part .

This paper proposes a method to estimate the waveform of a specified sound source in a noisy and reverberant environment using a sensor array. Previously, we proposed an iterative method to estimate the waveform. However, in this method the effect of reflection sound reduces to 1/M, where M is the number of microphones. Therefore, to solve the reverberation problem, we propose a new method using inverse filters of the transfer functions from the sound sources to each microphone. First, the transfer function from each sound source to each microphone is measured by the cross-spectrum technique and each inverse filter is calculated by the QR method. Then the initially estimated waveform of a sound source is the averaged signal of the inverse filter outputs. Since this waveform still contains the effects of the other sound sources, the iterative technique is adopted to estimate the waveform more precisely, reducing the effects of the other sound and the reflection sound. Some computer simulations and experiments were carried out. The results show the effectiveness of our method.

We developed a 32-bit pseudorandom number generator (RNG) operating at liquid nitrogen temperature based on HEMT ICs. It generates maximum-length-sequence codes whose primitive polynomial is X47+X42+1 with the period of 247-1 clock cycle. We designed and fabricated three kinds of cryogenic HEMT IC for this system: A 1306-gate controller IC, a 3319-gate pseudorandom number generator (RNG) IC, and a buffer IC containing a 4-kb RAM and 514 gates. We used 0.6-µm gate-length Se-doped GaAlAs/GaAs HEMTs. Interconnects were Al for the first layer and Au/Pt/Ti for the second layer with a SiON insulator between them. The HEMT ICs have direct-coupled FET logic (DCFL) gates internally and emitter-coupled logic (ECL) compatible input-putput buffers. The unloaded basic delay of the DCFL gate was 17 ps/gate with a power consumption of 1.4 mW/gate at liquid nitrogen temperature. We used an automatic cryogenic wafer probe we developed and an IC tester for function tests, and used a high-speed performance measuring system we also developed with a bandwidth of more than 20 GHz for high-speed performance tests. Power dissipations were 3.8 W for the controller IC, 4.5 W for the RNG IC, and 3.0 W for the buffer IC. The RNG IC, the largest of the three HEMT ICs, had a maximum operating clock rate of 1.6 GHz at liquid nitrogen temperature. We submerged a specially developed zirconium ceramic printed circuit board carrying the HEMT ICs in a closed-cycle cooling system. The HEMT ICs were flip-chip-packaged on the board with bumps containing indium as the principal component. We confirmed that the RNG system operates at liquid nitrogen temperature and measured a minimum system clock period of 1.49 ns.

This paper presents a method for LSI implementation of a long-tap acoustic echo canceller algorithm using the residue number system (RNS) and the mixed-radix number system (MRS). It also presents a quantitative comparison of echo canceller architectures, one using the RNS and the other using the binary number system (BNS). In the RNS, addition, subtraction, and multiplication are executed quickly but scaling, overflow detection, and division are difficult. For this reason, no echo canceller using the RNS has been implemented. We therefore try to design an echo canceller architecture using the RNS and the NLMS algorithm. It is shown that the echo canceller algorithm can be effectively implemented using the RNS by introducing the MRS. The quantitative comparison of echo canceller architectures shows that a long-tap acoustic echo canceller can be implemented more effectively in terms of chip size and power dissipation by the architecture using the RNS.

This paper describes the impact of EDFAs on AM/FM FDM subcarrier multiplexing (SCM) all-fiber video distribution (AFVD) systems. As AM/FM hybrid system using EDFAs which can simultaneously distribute 11 AM-TV channels and 50 FM-TV channels is proposed and discussed. 4-stage amplifier-branch transmission experiments are introduced. The construction and performance of a newly designed 50 channel FM tuner are also presented.

Optical fiber cable systems are being developed in many countries for subscriber loops as the infrastructure to realize B-ISDN (Broadband Integrated Services Digital Network). The present systems are DLC (Digital Loop Carrier) systems which provide leased lines, POTS (Plain Old Telephone Services), and N-ISDN (Narrowband ISDN) services. Before FTTH (Fiber To The Home) networks can be implemented, their construction cost must be lowered to the level of the current metallic network. The FTTH network must also be easy to operate and maintain. In this paper, we describe optical fiber cables, splicing, and testing technologies used in the NTT cable networks, and introduce the technologies being developed to construct FTTH networks.