This paper describes the effectiveness of the geometric multi-grid method in a current density analysis using a numerical human body model. The scalar potential finite difference (SPFD) method is used as a numerical method for analyzing the current density inside a human body due to contact with charged objects in a low-frequency band, and research related to methods to solve faster large-scale simultaneous equations based on the SPFD method has been conducted. In previous research, the block incomplete Cholesky conjugate gradients (ICCG) method is proposed as an effective method to solve the simultaneous equations faster. However, even though the block ICCG method is used, many iterations are still needed. Therefore, in this study, we focus on the geometric multi-grid method as a method to solve the problem. We develop the geometric-multi-grid method and evaluate performances by comparing it with the block ICCG method in terms of computation time and the number of iterations. The results show that the number of iterations needed for the geometric multi-grid method is much less than that for the block ICCG method. In addition, the computation time is much shorter, depending on the number of threads and the number of coarse grids. Also, by using multi-color ordering, the parallel performance of the geometric multi-grid method can be greatly improved.

A 0.8-V CMOS Phase-Locked Loop (PLL) has been designed and fabricated by using a 0.13-µm 1p8m CMOS process. In the proposed PLL, the double-positive-feedbacks voltage-controlled oscillator (DPF-VCO) is used to generate current signals for the coupling current-mode injection-locked frequency divider (CCMILFD) and current-injection current-mode logic (CICML) divider. A short-pulsed-reset phase frequency detector (SPR-PFD) with the reduced pulse width of reset signal to improve the linear range of the PFD and a complementary-type charge pump to eliminate the current path delay are also adopted in the proposed PLL. The measured in-band phase noise of the fabricated PLL is -98 dBc/Hz. The locking range of the PLL is from 22.6 GHz to 23.3 GHz and the reference spur level is -69 dBm that is 54 dB bellow the carrier. The power consumption is 9.2 mW under a 0.8-V power supply. The proposed PLL has the advantages of low phase noise, low reference spur, and low power dissipation at low voltage operation.

In this paper, we present the condition for the effective wire addition in Look-Up-Table-based (LUT-based) field programmable gate array (FPGA) circuits, and an optimization procedure utilizing the effective wire addition. Each wire has different characteristics, such as delay and power dissipation. Therefore, the replacement of one critical wire for the circuit performance with many non-critical ones, i.e., many-addition-for-one-removal (m-for-1) is sufficiently useful. However, the conventional logic optimization methods based on sets of pairs of functions to be distinguished (SPFDs) for LUT-based FPGA circuits do not make use of the m-for-1 manipulation, and perform only simple replacement and removal, i.e., the one-addition-for-one-removal (1-for-1) manipulation and the no-addition-for-one-removal (0-for-1) manipulation, respectively. Since each LUT can realize an arbitrary internal function with respect to a specified number of input variables, there is no sufficient condition at the logic design level for simple wire addition. Moreover, in general, simple addition of a wire has no effects for removal of another wire, and it is important to derive the condition for non-simple and effective wire addition. We found the SPFD-based condition that wire addition is likely to make another wire redundant or replaceable, and developed an optimization procedure utilizing this effective wire addition. According to the experimental results, when we focused on the delay reduction of LUT-based FPGA circuits, our method reduced the delay by 24.2% from the initial circuits, while the conventional SPFD-based logic optimization and the enhanced global rewiring reduced it by 14.2% and 18.0%, respectively. Thus, our method presented in this paper is sufficiently practical, and is expected to improve the circuit performance.

An adaptive 4-state phase-frequency detector (PFD) for clock and data recovery (CDR) PLL of non return to zero (NRZ) data is presented. The PLL achieves false-lock free operation with rapid frequency-capture and wide bit-rate-capture range. The variable bit rate operation is achieved by adaptive delay control of data delay. Circuitry and overall architecture are described in detail. A z-Domain analysis is also presented.

This paper describes a dual-looped PLL architecture to improve voltage-to-frequency linearity of VCO. The V-I converter employing a current-pumping algorithm is proposed to enhance the linearity of the VCO circuit. The designed VCO operates at a wide frequency range of 75.8 MHz-1 GHz with a good linearity. The PFD circuit design technique preventing fluctuation of the charge pump circuit under the locked condition is discussed. Simulation results show that a locking time of the proposed PLL is 3.5 µs at 1 GHz and the power dissipation is 92 mW.

In this paper, we introduce a high-speed and low-power Phase-Frequency Detector (PFD) that is designed using a modified TSPC (True Single-Phase Clock) positive edge triggered D flip-flop . The proposed PFD has a simple structure with using only 19 transistors. The operation range of this PFD is over 1.4 GHz without using additional prescaler circuits. Furthermore, the PFD has a dead zone less than 0.01ns in the phase characteristics and has low phase sensitivity errors. The phase and frequency error detection range is not limited as in the case of the pt-type and nc-type PFDs. Also, the PFD is independent of the duty cycle of input signals. Also, a new charge-pump circuit is presented that is based on a charge-amplifier. A stand-by current of the proposed charge-pump circuit enhances the speed of charge-pump and removes the charge sharing which causes a phase noise in the charge pump PLL. Furthermore, the effect of clock feedthrough is reduced by separating the output stage from up and down signal. The simulation results base on a third order PLL are presented to verify the lock in process with the proposed PFD and charge pump circuits. The proposed PFD and charge-pump circuits are designed using 0.8 µm CMOS technology with 5 V supply voltage.

In this paper, we will discuss circuit minimization techniques based on the multiple output capability of FPGA blocks. Since previous methods only consider two independent output functions, we will discuss a more complicated case when the two functions are mutually related. We also discuss a method to maximize flexibility of a specified cell output in the given FPGA block. If a set of possible functions for a cell which will not change the FPGA output function is large, we call that the flexibility of this cell is high. The concept of Sets of Pairs of Functions to be Distinguished (SPFDs) introduced by Yamashita et al. is a powerful tool to minimize a given FPGA circuits. In this paper, an extension of the concept, Priority based SPFDs (PSPFDs) is introduced to maximize the flexibility of output functions realized by such internal cells. By using PSPFDs for our new method, we can utilize the multiple output capability very well. Combination with the previous methods with PSPFDs is also shown to be important. We have implemented these methods and applied them to MCNC benchmarks mapped into 5-variable function blocks. To make a comparison with other methods, we have implemented methods using well-known merging algorithms utilizing the same multiple output capability. Experimental results show that our methods can reduce the number of blocks in the initial circuits by 40% on average. This reduction ratio is 16% higher than that of previous methods.

To realize the high speed and low power CMOS Phase Locked Loop, we have developed new components of PLL: VCO and PFD. In the VCO, high speed and low power is realized with source coupled inverter pairs in the single loop three gate ring oscillator. And in the PFD, low power and small chip area are realized with the dynamic inverter. And with the simple design adjustment, both reduction of dead zone and immunity of current fluctuation at "O" output are implemented in Charge Pump. A fully CMOS PLL with these components have been designed with 0.8µ CMOS. At 622MHz operation, the power dissipation of 18mW is achieved by SPICE simulation.

A new approach which implements a simple, high-speed phase detector with precharge logic will be presented. The minimum detectable phase difference is 40 psec, which is less than a half of conventional detectors. A current mode ring oscillator with a complementary-input bias generator has also been developed to enhance the dynamic range of the VCO under a low supply voltage. A fully CMOS PLL was designed using 0.5-µm technology. By virtue of this simple, fast detector, the wide operation range of 250 MHz at 1.5 V to 622 MHz at 3.0 V was achieved by simulation.