High-speed clock distribution design is becoming increasingly difficult and challenging task due to the huge power consumption and jitter caused by large capacitive loading and multiple repeater stages. This paper proposes a novel low-power, GHz-band bufferless LC-DCO which directly drives 10 mm on-chip clock distribution line for high-speed serial links. The shared LC-tank structure between DCO frequency tuning capacitor and clock distribution line mitigate the frequency sensitivity and makes an energy-efficient, area-saving, high-speed operation possible. The test-chip is implemented under TSMC 0.18µm, 1-poly, 6-metal CMOS technology and the core area of proposed LC-DCO is only 270×280µm2. The full-chip post layout simulation results show 2.54GHz oscillation frequency, 2.2mA current consumption and phase noise of -123dBc/Hz at 1MHz offset.

This paper presents an inductive coupling interface using a relay transmission scheme and a low-skew 3D clock distribution network synchronized with an external reference clock source for 3D chip stacking. A relayed transmission scheme using one coil is proposed to reduce the number of coils in a data link. Coupled resonation is utilized for clock and data recovery (CDR) for the first time in the world, resulting in the elimination of a source-synchronous clock link. As a result, the total number of coils required is reduced to one-fifth of the conventional number required, yielding a significant improvement in data rate, layout area, and energy consumption. A low-skew 3D clock distribution network utilizes vertically coupled LC oscillators and horizontally coupled ring oscillators. The proposed frequency-locking and phase-pulling scheme widens the lock range to $pm$ 10%. Two test chips were designed and fabricated in 0.18 $mu$m CMOS. The bandwidth of the proposed interface using relay transmission ThruChip Interface (TCI) is 2.7 Gb/s/mm$^2$; energy consumption per chip is 0.9 pJ/b/chip. Clock skew is less than 18- and 25- ps under a 1.8- and 0.9- V supply. The distributed RMS jitter is smaller than 1.72 ps.

Influence of manufacturing variability on circuit performance has been increasing because of finer manufacturing process and lowered supply voltage. In this paper, we focus on mesh-style clock distribution which is believed to be effective for reducing clock skew, and we evaluate clock skew considering manufacturing and design variabilities. Considering MOS transistor variation -- random and spatially-correlated variation -- and non-uniform flip-flop (FF) placement, we demonstrate that spatially-correlated variation and severe non-uniform FF distribution can be major sources of clock skew. We also examine the dependency of clock skew on design parameters, and reveal that finer clock mesh does not necessarily reduce clock skew.

We present on-chip oscillator arrays synchronized by random noises, aiming at skew-free clock distribution on synchronous digital systems. Nakao et al. recently reported that independent neural oscillators can be synchronized by applying temporal random impulses to the oscillators [1],[2]. We regard neural oscillators as independent clock sources on LSIs; i.e., clock sources are distributed on LSIs, and they are forced to synchronize through the use of random noises. We designed neuron-based clock generators operating at sub-RF region (< 1 GHz) by modifying the original neuron model to a new model that is suitable for CMOS implementation with 0.25-µm CMOS parameters. Through circuit simulations, we demonstrate that i) the clock generators are certainly synchronized by pseudo-random noises and ii) clock generators exhibited phase-locked oscillations even if they had small device mismatches.

The evolution of VLSI chips towards larger die size, smaller feature size and faster clock speed makes the clock distribution an increasingly important issue. In this paper, we propose a new clock distribution network (CDN), namely Variant X-Tree, based on the idea of X-Architecture proposed recently for efficient wiring within VLSI chips. The Variant X-Tree CDN keeps the nice properties of equal-clock-path and symmetric structure of the typical H-Tree CDN, but results in both a lower maximal clock delay and a lower clock skew than its H-Tree counterpart, as verified by an extensive simulation study that incorporates simultaneously the effects of process variations and on-chip inductance. We also propose a closed-form statistical models for evaluating the skew and delay of the Variant X-Tree CDN. The comparison between the theoretical results and the simulation results indicates that the proposed statistical models can be used to efficiently and rapidly evaluate the performance of the variant X-Tree CDNs.

In this paper, we propose two methods to estimate clock jitter caused by power supply noise in a LSI (Large-Scale Integrated circuit). One of the methods enables estimation of clock jitter at the initial design stage before floor-planning. The other method reduces simulation time of clock distribution network to analyze clock jitter at the design verification stage after place-and-route of the chip. For an example design, the relative difference between clock jitter estimated at the initial design stage and that of the design verification stage is 23%. The example result also shows that the proposed method for the verification stage is about 24 times faster than the conventional one to analyze clock jitter.

This paper describes an 18-GHz coupled VCO array for low jitter and low phase deviation clock distribution. To reduce the skew, jitter and power consumption associated with clock distribution, the clock is generated by a one-dimensional VCO array in which the oscillating nodes of adjacent VCOs are directly connected with wires. The effects of the wire length and number of unit VCOs in the array are discussed. Both 4-unit and a 2-unit VCO arrays for delivering a clock signal to a 16:1 multiplexor were designed and fabricated in a 90-nm CMOS process. The frequency range of the 4-unit VCO array was 16 GHz to 18.5 GHz while each unit VCO consumed 2 mA.

This paper discusses clock skew due to manufacturing variability and environmental change. In clock tree design, transition time constraint is an important design parameter that controls clock skew and power dissipation. In this paper, we evaluate clock skew under several variability models, and demonstrate relationship among clock skew, transition time constraint and power dissipation. Experimental results show that constraint of small transition time reduces clock skew under manufacturing and supply voltage variabilities, whereas there is an optimum constraint value for temperature gradient. Our experiments in a 0.18 µm technology indicate that clock skew is minimized when clock buffer is sized such that the ratio of output and input capacitance is four.

This paper describes a low-skew clock distribution technique for multiple targets. An automatic skew compensation circuit, that detects the round-trip delay through a pair of matched interconnection lines and corrects the delay of the variable delay lines, maintains clock skew and delay from among multiple targets below the resolution time of the variable delay lines without any manual adjustment. Measured results show that the initial clock skew of 900 ps is automatically reduced to 30 ps at a clock frequency of up to 250 MHz with 60 ps of clock jitter. Moreover, they show that the initial clock delay of 1500 ps is cancelled and 60 ps of clock delay can be achieved. The power dissipation is 100 mW at 250 MHz.

This paper presents a new timing-driven global routing method for standard cell layout. The proposed method can explicitly consider the timing constraint between two registers and minimize the channel density under the given timing constraint. In the proposed method, first, we determine the initial global routes. Next, we improve the global routes to satisfy the timing constraint between two registers as well as to minimize the channel density. Finally, for each cell row, the nets incident to terminals on the cell row are assigned to channels to minimize the channel density using 0-1 integer linear programming. We also show the experimental results of the proposed method implemented on an engineering workstation. Experimental results show that the proposed method is quite promising.

The design of a high speed self-routing network switch module is described. Clock distribution and timing design to achieve high-speed operation are considered. A 88-port self-routing Benes network switch prototype on multi-chip module is fabricated using 44-port space division switch LSIs. The switch module achieves a maximum measured clock frequency of 750MHz under switching operation. Resultant total throughput of the switch module is 12Gbit/s.

Sea clutter was measured using an X-band radar at very high grazing angles between 8.2 and 17.5. The sea state was 7 with the wave height of 6 to 9m. The wind velocity was 25m/s. It is shown that sea clutter amplitudes obey the log-normal and K distributions using the Akaike Information Criterion (AIC) , which is more rigorous fit to the distribution to the data than the least squares method.