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In a high-performance VLSI design, the clock network consumes a significant amount of power. While most existing methodologies use voltage-mode (VM) signaling, these clock distributions lose a tremendous amount of dynamic power to charge/discharge the large global clock capacitance. New circuit approaches for current-mode (CM) clocking save significant clock power, but have been limited to only symmetric networks, while most application specific integrated circuits have asymmetric clock distributions. In this paper, we propose the first CM clock synthesis (CMCS) methodology to reduce the overall clock network power with low skew. The method can integrate with traditional clock routing followed by transmitter and receiver sizing. We validate the proposed methodology using ISPD 2009 and 2010 industrial benchmarks using an extracted SPICE model distributed in 1.4–275.6-mm2 area and consists of 81–2249 sinks. This methodology saves 39%–84% average power with similar skew on the benchmarks using 45-nm CMOS technology simulation of clock frequencies range from 1–3 GHz. In addition, the CMCS methodology takes $2.4-9.1\times $ less running time and consumes 20%–26% less transistor area compared with synthesized, buffered VM clock distributions.

A low-voltage/swing clocking methodology is developed through both circuit and algorithmic innovations. The primary objective is to significantly reduce the power consumed by the clock network while maintaining the circuit performance the same. The methodology consists of two primary components: 1) a novel D-flip-flop (DFF) cell that maximizes power savings by enabling low-voltage/swing operation throughout the entire clock network and 2) a novel clock tree synthesis algorithm to ensure that the same timing constraints (i.e., clock frequency, skew, and slew) are satisfied. The proposed methodology is integrated within an industrial design flow. Experimental results on ISCAS’89 benchmark circuits demonstrate that the overall power consumed by the clock tree can be reduced by up to 27% and 44% in, respectively, 32- and 45-nm technologies while satisfying the same timing constraints. Furthermore, the proposed low-swing DFF cell maintains the clock-to-Q delay the same while achieving up to 32% and 15% power savings in the overall flip-flop power of the benchmark circuits at, respectively, 1- and 1.5-GHz clock frequencies.

In a multipower-mode design, as the range of the supply voltage becomes wide, a large clock skew may occur among different power domains. To remove this clock skew, conventional power-mode-aware buffers (PMABs) require a large overhead on power consumption. In this brief, we propose a new PMAB architecture for wide-voltage-range multipower-mode designs. The proposed PMAB architecture is composed of two serially connected sub-PMABs at two different voltage levels, respectively. In the front sub-PMAB, the low voltage level is used for coarse-grained clock skew minimization. In the back sub-PMAB, the high voltage level is used for fine-grained clock skew minimization. Benchmark data show that the proposed approach can effectively eliminate the clock skew with small power consumption.

This paper presents a robust energy/area-efficient receiver fabricated in a 28-nm CMOS process. The receiver consists of eight data lanes plus one forwarded-clock lane supporting the hypertransport standard for high-density chip-to-chip links. The proposed all-digital clock and data recovery (ADCDR) circuit, which is well suited for today’s CMOS process scaling, enables the receiver to achieve low power and area consumption. The ADCDR can enter into open loop after lock-in to save power and avoid clock dithering phenomenon. Moreover, to compensate the open loop, a phase tracking procedure is proposed to enable the ADCDR to track the phase drift due to the voltage and temperature variations. Furthermore, the all-digital delay-locked loop circuit integrated in the ADCDR can generate accurate multiphase clocks with the proposed calibrated locking algorithm in the presence of process variations. The precise multiphase clocks are essential for the half-rate sampling and Alexander-type phase detecting. Measurement results show that the receiver can operate at a data rate of 6.4 Gbits/s with a bit error rate $ , consuming 7.5-mW per lane (1.2 pJ/bit) under a 0.85 V power supply. With ADCDR’s phase tracking, the receiver performs better in jitter tolerance and achieves a 500-kHz bandwidth, which is high enough to track the phase drift. The receiver core occupies an area of 0.02 mm $^{2}$ per lane.

When the conventional method of defining sequential element timing parameters is used in conjunction with the conventional method of accounting for clock uncertainty in timing analysis, the results are overly pessimistic because, when clock uncertainty is nonzero, the element can never be simultaneously critical for both setup time and clock-to- $Q$ . This brief shows that the actual sequencing overhead of conventional flip-flops is 0.5–1 fanout-of-4 (FO4) inverter delay shorter than conventional models predict. High-performance flip-flops, with a modest transparency window, can be 2 FO4 delays faster. While the exact overhead becomes a function of the clock uncertainty, for typical uncertainties, the timing parameters are well-approximated using minimum setup and clock-to- $Q$ values.

A clock skew-compensation and duty-cycle correction circuit (CSADC) is used as the second-level clock distributing circuit to align a system global clock while maintaining a 50% duty cycle. A power-efficient, range-unlimited, and accuracy-enhanced CSADC, designed mainly with a new delay-interleaving and -recycling technique that mitigates operating frequency limitations while keeping overhead costs low, is proposed in this paper. Our preliminary research results prove the feasibility of the proposed technique and show that the operating frequency ranges from 110 MHz to 1.75 GHz, with the corrected duty cycle varying from 51.2% to 48.9% based on 0.18- $\mu $ m CMOS technology. Meanwhile, the lock-in time, static phase error, and power consumption are, respectively, 26 clock cycles, 4.2 ps, and 5.58 mW at 1.75 GHz.

Traditional die-to-die (DTD) clock skew compensation topologies prerequisite matched delay lines or equal through-silicon via (TSV) delays. Unlike previous techniques, the proposed mismatch-insensitive skew compensation architecture can maintain a synchronous clock signal between two dies, while completely eliminating any skew arising from code-dependent mismatch in delay lines or unequal TSV delays. The performance of our design is verified in theory and simulation in light of mismatch/finite resolution of delay lines, clock jitter, phase detector dead zone, TSV delay, and buffer mismatch. Postsynthesis timing verification of this cell-based design was done in a 65-nm CMOS process. Under similar worse case mismatch conditions, the residual skew in the proposed architecture was delimited to 32 ps at 1 GHz, compared with 116 ps for a recent DTD topology, while consuming only 2.1 mW.

Minimizing the size of a clock tree is known as an effective approach to reduce power dissipation in modern circuit designs. However, most existing power-aware clock-tree minimization algorithms optimize power on the basis of flip-flops alone, which may result in limited power savings. To achieve a power and timing tradeoff, this paper investigates the pulsed-latch utilization in a clock tree for further power savings. This is the first paper to propose a migration approach to efficiently construct a clock tree with both pulsed-latches and flip-flops. The proposed method is based on minimum-cost maximum-flow formulation to globally determine the tree topology, which maintains load balance and considers the wirelength between pulse generators and pulsed latches. Experimental results indicate that the proposed migration approach can improve the power consumption by 12% and 13% with 7% and 70% skew improvements on average compared with the most recent paper on the industrial circuits and ISPD-2010 benchmarks, respectively.

In this brief, we investigate and propose solutions for integrating the clock and power distribution networks all the way to circuit level. The aim is to reduce metal requirements, routing complexity, and power. The concept of an integrated power and clock distribution network (IPCDN) is proposed in order to eliminate the need for the global and local clock distribution networks. In IPCDN, a differential power-clock signal (Pwr_Clk) with a suitable dc voltage level and sinusoidal voltage-swing feeds the VDD ports in combinational and sequential elements. A clock buffer is used for sequential elements in order to extract a full-swing clock from the differential Pwr_Clk+ and Pwr_Clk- signals. IPCDN does not require any change to be made to the conventional combinational and sequential circuit design. The proposed elements of IPCDN, including the LC differential Pwr_Clk driver and the clock buffer, have been simulated using Taiwan Semiconductor Manufacturing Company 65-nm CMOS technology with a Pwr_Clk signal, a 1-V dc component, and 400-mV sinusoidal swing at a frequency of 5 GHz. In addition, the behavior of a master-slave flip-flop with IPCDN was investigated at extreme corners. Simulation results demonstrate correct functionality of all elements of the IPCDN. Comparing IPCDN to a buffered square-wave clock distribution network illustrates that, with a heavily loaded network, IPCDN achieves around 20% reduction in power. This percentage increases when the network capacitance is dominating.

This paper presents an all-digital phase-locked loop (ADPLL) clock generator for globally asynchronous locally synchronous (GALS) multiprocessor systems-on-chip (MPSoCs). With its low power consumption of 2.7 mW and ultra small chip area of 0.0078 mm2 it can be instantiated per core for fine-grained power management like DVFS. It is based on an ADPLL providing a multiphase clock signal from which core frequencies from 83 to 666 MHz with 50% duty cycle are generated by phase rotation and frequency division. The clock meets the specification for DDR2/DDR3 memory interfaces. Additionally, it provides a dedicated high-speed clock up to 4 GHz for serial network-on-chip data links. Core frequencies can be changed arbitrarily within one clock cycle for fast dynamic frequency scaling applications. The performance including statistical analysis of mismatch has been verified by a prototype in 65-nm CMOS technology.

Clock tree synthesis plays an important role on the total performance of chip. Gated clock tree is an effective approach to reduce the dynamic power usage. In this paper, two novel gated clock tree synthesizers, power-aware clock tree synthesizer (PACTS) and power- and slew-aware clock tree synthesizer (PSACTS), are proposed with zero skew achieved based on Elmore RC model. In PACTS, the topology of the clock tree is constructed with simultaneous buffer/gate insertion, which reduces the switched capacitance. In PSACTS, a more practical clock slew constraint is applied. Compared to previous works, clock tree synthesis is done first and followed by the insertions of clock gates. The clock slew changes a lot after the insertions of clock gates in real cases. In our work, the clock tree is constructed simultaneously with the insertions of clock gates. This ensures the limitation of the clock slew can be strictly satisfied while the limitation of the clock slew is always applied in the real design. The experimental results show that the power cost of our work is smaller and the runtime is reduced. The slew rate constraint is satisfied with a small clock skew from SPICE estimation. Generally, our work has better performance, improved efficiency and is more practical to be applied in the industry.

Gating of the clock signal in VLSI chips is nowadays a mainstream design methodology for reducing switching power consumption. In this paper we develop a probabilistic model of the clock gating network that allows us to quantify the expected power savings and the implied overhead. Expressions for the power savings in a gated clock tree are presented and the optimal gater fan-out is derived, based on flip-flops toggling probabilities and process technology parameters. The resulting clock gating methodology achieves 10% savings of the total clock tree switching power. The timing implications of the proposed gating scheme are discussed. The grouping of FFs for a joint clocked gating is also discussed. The analysis and the results match the experimental data obtained for a 3-D graphics processor and a 16-bit microcontroller, both designed at 65-nanometer technology.

Resonant rotary clocking is a clocking technology for high frequency clock generation and distribution at a low power dissipation rate. It is commonly conceived that the multiple phases on the rings of the rotary oscillatory array (ROA) necessitate a non-zero clock skew operation. In this paper, the feasibility of zero clock skew synchronization with the rotary clocking technology implemented on the ROA is shown. Design automation experiments are performed to demonstrate that the zero clock skew operation can be achieved with minimal change in the performance of rotary clock operation. In particular, a marginal ±1.5% change in the tapping wirelength and a negligible 0.38% average skew mismatch are reported in experiments on R1-R5 and ISPD 2010 benchmark circuits.

This paper presents a clock polarity assignment flow which permits post-silicon reconfigurability. The proposed method inserts xor gates at one level of the clock tree to facilitate the polarity assignment. The polarity of the xor gates can be reconfigured for different modes of clock gating (sleep mode, busy mode, etc.) such that a mode-specific reduction of the peak current can be achieved. Experimental results show that the worst case peak current on a clock tree can be reduced by 33.3% by assigning polarity to xor gates at the sink level of the clock tree. An additional 12.8% reduction in the worst case peak current can be achieved by reconfiguring the polarity assignment based on the clock gating information. The proposed flow increases the area by 7.1% but reduces both the total power consumption by 23.8% and the global skew increase (due to polarity assignment) from 19.3 to 8.8 ps. The insertion of xor gates at the non-sink nodes is also studied to further reduce the global skew increase and the area overhead.

We present a clock distribution network that emphasizes flexibility and layout independence. It suits a variety of applications, clock domain shapes and sizes using a modular, standard cell-based design approach that mitigates the effect of intra-die temperature and process variances. We route the clock line serially, using an averaging technique to eliminate skew between clock regions in a domain. Routing clock lines serially allows optimal wire usage for clock networks by eliminating the redundant wires required to match path delays. Our clock network provides control over regional clock skews, can be used in beneficial skew applications and facilitates silicon-debug. Serial clocking permits the use of routing switches in the clock network and allows post-silicon resizing and reshaping of clock domains. Defective sections of the clock network can be bypassed, providing post silicon repair capability. The system uses a closed-loop synchronization phase to combine the clock skew reduction of an actively synchronized clock network with an open-loop operating phase that minimizes power consumption like passive clock networks. Our clock network provides significant flexibility for application-specific integrated circuit, system-on-chip, and field-programmable gate-array designs, exhibiting good operating characteristics everywhere in the design envelope. Our silicon implementation achieves a maximum edge-to-edge uncertainty of 80 ps for regional clocks, which is roughly equal to the cycle-to-cycle jitter of the on-chip clock source.

Period jitter plays a critical role in global clock distribution design, because it directly impacts the time available for logic operations between sequential elements. Moreover, time-varying supply noise injected in global clock drivers can worsen the timing margin of critical paths by modulating period jitter. In the planning stage of global clock distribution for a high-end microprocessor, it is very critical to differentiate and understand the impacts of different design parameters on period jitter. However, it is hard to achieve due to complex relationship among different independent/dependent design parameters: supply noise amplitude, supply noise frequency, clock driver size, physical structures of interconnects, number of clock stages, temperature, process corners, etc. In this paper, we propose sets of analytical expressions which accurately model the behavior of supply noise induced period jitter of global binary clock trees without losing the details of clock distribution design parameters. These accurate expressions and their derivation process are used to provide detailed insight into the relationships between period jitter of binary clock distribution and distribution design parameters with several examples. Also detailed design guidelines for binary clock trees are presented.

This study proposes a high precision fast locking arbitrary duty cycle clock synchronization (HPCS) circuit. This HPCS is capable of synchronizing the external clock and the internal clock in three clock cycles. By using three innovative techniques, the proposed HPCS can also reduce the clock skew between the external clock and the internal clock in a chip. First, by modifying the mirror control circuit, the HPCS operates correctly with an arbitrary duty cycle (25%-75%) clock signal. Second, the HPCS works precisely and ignores the effect of output load changes by moving the measurement delay line beyond the output driver. Finally, the HPCS can enhance the resolution between the external clock and internal clock with a fine tuning structure. After phase locking, the maximum static phase error is less than 20 ps. The proposed chip is fabricated in a TSMC 130-nm CMOS process, and has an operating frequency range from 300 to 600 MHz. At 600 MHz, the power consumption and rms jitter are 2.4 mW and 3.06 ps, respectively. The active area of this chip is 0.3 × 0.13 mm2.

Synchronous clock distribution continues to be the dominant timing methodology for VLSI circuit designs. As processes shrink, clock speeds increase, and die sizes grow, an increasingly larger percentage of the clock period is being lost to skew and jitter budgets. Process, voltage, and temperature variations, especially those that are intra-die, increasingly upset the distribution of a synchronized clock signal, even in properly balanced clock tree networks. As a result, active clock deskewing systems are becoming necessary to tune out unwanted clock skew after chip fabrication. This paper first defines the operation of a specially designed phase detector, referred to as an up/down detector (UDD). Next, four of these UDDs are used as links to construct a stable, autonomously locking quadrantal ring tuning (QRT) configuration that effectively joins together four distributed delay-locked loops (DLLs) without the need for any system-level controller. This cyclic, self-controlled, quad-DLL ring tuning technique is then implemented hierarchically to dynamically adjust clock signal delays across an entire chip during normal circuit operation. A simplistic two-level QRT system is presented for a generic H-tree clock distribution network, demonstrating stable locking behavior and more than 50% average reduction in overall clock skew.

Aggressive technology scaling down and low-power design techniques lead to uneven distributed power density, which translates into heat flow in the chips, causing significant temperature variations in both spatial and temporal terms. In order to mitigate the negative impacts of temperature variations on circuit timing, we propose SACTA, a self-adjusting clock tree architecture, which performs temperature-dependent dynamic clock skew scheduling to prevent timing violations in a pipelined circuit. The dynamic and adaptive features of SACTA are enabled by our proposed automatic temperature-adjustable skew buffers and temperature-insensitive skew buffers. These special delay elements are carefully tuned to ensure resilience of the entire circuit against temperature variation. To determine their configurations, we proposed an efficient and general clock tree design and optimization framework. Furthermore, we show that SACTA is applicable across a wide spectrum of circuits, including multi-Vdd/Vth designs. Experimental results show that a pipeline supported by SACTA is able to prevent thermal-induced timing violations within a significantly larger range of operating temperatures (on average, the violation-free range can be enhanced by over 15°C).

In the most general form, clock skew scheduling (CSS) generates a dedicated clock delay for each individual sequential component in the clock distribution network in order to minimize the clock period. Multidomain CSS (MDCSS) relieves this requirement. Instead, sequential components are grouped into several clusters (called clock domains), each of which has a uniform clock delay for all registers within that domain. The skew values of clock domains are provided by a set of deskew buffers with electrically programmable phase shifts and injected after the chip is manufactured. This technique is attractive since, due to process variations, it is becoming overwhelmingly difficult to create precise clock network delays for all sequential elements in a design globally. In this paper, we present a fast algorithm for determining the minimum number of clock domains to be used by MDCSS. The exact solution to this problem cannot be found within a reasonable time if the number of clock domains increases beyond three domains. We show that, even with a small-size circuit, in order to obtain the minimum clock period, more than three clock domains may be required. Therefore, a fast heuristic algorithm is needed to identify these domains. To the best of our knowledge, we present the first efficient heuristic algorithm for this problem. For large benchmark circuits, we solve the problem within 14.7 min on average (as high as 31.7 min for the worst case), while a commercial mixed-integer linear program solver cannot finish in over 5 h. Furthermore, our results show that, for 19 out of 21 small- and medium-size benchmarks, our algorithm yields the optimal solution.

Clock gating is one of the most effective techniques to reduce clock tree power. Although it has already been studied considerably, most of the previous works are restricted to either register transfer level (RTL) or clock tree synthesis stage. Clock gating design at RTL is coarse and it pays no attention to the physical information, therefore, it often results in large wirelength overhead. While if clock gating is considered only at clock tree synthesis, the optimization space is largely limited due to the fixing of registers. To fully use the logical and physical information between registers, we propose a new flow for low-power gated clock tree design in this work. It mainly includes three parts: gated clock tree aware register placement, gated clock tree construction, and incremental placement. Compared with the previous works on clock gating, our algorithm reduces the clock tree power with much fewer gating logics, therefore, the overhead to the placement is also reduced.

Rotary clock is a resonant clocking technique that delivers on-chip clock signal distribution with very low power dissipation. Since it can only generate clock signals with multiple phases that are spatially distributed, rotary clock is often considered not applicable to industrial very large scale integration (VLSI) designs. This paper presents the first rotary-clock-based nontrivial digital circuit. Our design, a low-power and high-speed finite-impulse response (FIR) filter, is fully digital and generated using CMOS standard cells in 0.18 mum technology. We have shown that the proposed FIR filter is seamlessly integrated with the rotary clock technique. It uses the spatially distributed multiple clock phases of rotary clock and achieves high power savings. Simulation results demonstrate that our rotary-clock-based FIR filter can operate successfully at 610 MHz, providing a throughput of 39 Gb/s. In comparison with the conventional clock-tree-based design, our design achieves a 34.6% clocking power saving and a 12.8% overall circuit power saving. In addition, the peak current consumed by the rotary-clock-based filter is substantially lower by 40% on the average. Our study makes the crucial step toward the application of rotary clock technique to a broad range of VLSI designs.

A portable clock generator, which solves the duty ratio and jitter problems of the input clock, has been developed. In the proposed clock generator, the complementary delay line generates a series of multiphase clocks. The 0-to-1 transition detector finds the 2 pi phase delayed position among the multiphase clocks produced by the complementary delay line, and then, the select signal generator chooses the proper path to generate the delayed output clock. As a result, the proposed open-loop and full-digital architecture achieves a fast lock time of two clock cycles. Also, it is a simple, robust and portable IP and consumes only 17 mW at an input clock frequency of 1.6 GHz. In addition, a complementary delay line is implemented to achieve high phase resolution over a wide frequency range. The proposed clock generator is implemented in a 0.18-mum CMOS process and, occupies an active area of 170 mum times 120 mum. Also, it operates at various input frequencies ranging from 800 MHz to 1.6 GHz.

A significant fraction of the total power in highly synchronous systems is dissipated over clock networks. Hence, low-power clocking schemes are promising approaches for low-power design. We propose four novel energy recovery clocked flip-flops that enable energy recovery from the clock network, resulting in significant energy savings. The proposed flip-flops operate with a single-phase sinusoidal clock, which can be generated with high efficiency. In the TSMC 0.25-mum CMOS technology, we implemented 1024 proposed energy recovery clocked flip-flops through an H-tree clock network driven by a resonant clock-generator to generate a sinusoidal clock. Simulation results show a power reduction of 90% on the clock-tree and total power savings of up to 83% as compared to the same implementation using the conventional square-wave clocking scheme and flip-flops. Using a sinusoidal clock signal for energy recovery prevents application of existing clock gating solutions. In this paper, we also propose clock gating solutions for energy recovery clocking. Applying our clock gating to the energy recovery clocked flip-flops reduces their power by more than 1000times in the idle mode with negligible power and delay overhead in the active mode. Finally, a test chip containing two pipelined multipliers one designed with conventional square wave clocked flip-flops and the other one with the proposed energy recovery clocked flip-flops is fabricated and measured. Based on measurement results, the energy recovery clocking scheme and flip-flops show a power reduction of 71% on the clock-tree and 39% on flip-flops, resulting in an overall power savings of 25% for the multiplier chip.

In a typical clock distribution scheme, a central clock signal is distributed to several sites on the integrated circuit (IC). Local regenerators at these sites buffer the clock signal for the logic in regions close to the regenerator. Minimizing the skew between the clocks at these regeneration sites is critical. In recent times, this is becoming harder due to increasing intra-die processing variations. In this paper, we describe a novel technique to distribute a clock signal from a central location to several sites on a VLSI IC. Our technique uses a buffered H-tree and includes circuitry to dynamically remove any skew that may result due to intra-die processing variations. While existing approaches to deskewing a clock tree have utilized several phase detection circuits (number of phase detectors dependent on the number of clock regenerators), our method requires only one phase detector. Also, in our approach, the resolution of the phase detector is inconsequential unlike existing techniques. Our deskewing technique can be applied dynamically, either at boot time or periodically during the operation of the IC. Using a six-level H-tree clock distribution network with process variations deliberately included, we demonstrate that our technique can reduce skews as high as 300 ps down to just 3 ps. We compare our clock tree with traditional buffered and unbuffered H-tree networks.

We propose injection-locked clocking (ILC) to combat deteriorating clock skew and jitter, and reduce power consumption in high-performance microprocessors. In the new clocking scheme, injection-locked oscillators are used as local clock receivers. Compared to conventional clocking with buffered trees or grids, ILC can achieve better power efficiency, lower jitter, and much simpler skew compensation thanks to its built-in deskewing capability. Unlike other alternatives, ILC is fully compatible with conventional clock distribution networks. In this paper, a quantitative study based on circuit and microarchitectural-level simulations is performed. Alpha21264 is used as the baseline processor, and is scaled to 0.13 m and 3 GHz. Simulations show 20- and 23-ps jitter reduction, 10.1% and 17% power savings in two ILC configurations. A test chip distributing 5-GHz clock is implemented in a standard 0.18- m CMOS technology and achieved excellent jitter performance and a deskew range up to 80 ps.

The clock distribution network is a key component of any synchronous VLSI design. High power dissipation and pressure volume temperature-induced variations in clock skew have started playing an increasingly important role in limiting the performance of the clock network. Rotary clocking is a novel technique which employs unterminated rings formed by differential transmission lines to save power and reduce skew variability. Despite its appealing advantages, rotary clocking requires flip-flop locations to match predesigned clock skew on rotary clock rings. This requirement poses a difficult chicken-and-egg problem which prevents its wide application. In this paper, we propose an integrated placement and skew scheduling methodology to break this hurdle, making rotary clocking compatible with practical design flows. A network flow based flip-flop assignment algorithm and a cost-driven skew optimization algorithm are developed. We also present an integer linear programming formulation that minimizes maximum capacitance loaded at any of the rotary rings, thereby maximizing the operating frequency. Experimental results on benchmark circuits show that our method can reduce the tapping cost (measured as the total length of the wire segments connecting the rotary rings to the clock sinks) for rotary clocking by 33%-53%

Rotary clock is a recently proposed clock distribution technique based on wave propagation in transmission lines. In this paper, we investigate the problem of power minimization of rotary clock designs. Specifically, we have developed a software tool based on the method of partial element equivalent circuit that is capable of extracting the SPICE netlist from the layout specification of a rotary clock design. Using our tool, we have performed extensive analysis that links various design parameters of a rotary clock design to its oscillation frequency and power dissipation. Based on the results of our analysis, we then propose a power minimization algorithm. Our algorithm derives a rotary clock structure that dissipates the minimal power while satisfying the clock dimension requirement and oscillating at the target frequency with the given clock load. Experimental results have demonstrated that, for target operating frequencies ranging from 0.5 to 5 GHz, rotary clock designs can achieve power savings of up to 80% in comparison with conventional clock tree implementations

In ultra-deep submicron very large-scale integration (VLSI) designs, clock network layout plays an increasingly important role on determining circuit quality indicated by timing, power consumption, cost, power-supply noise, and tolerance to process variations. In this brief, a new merging scheme is proposed for prescribed nonzero skew routings which are useful in reducing clock cycle time, suppressing power-supply noise, and improving tolerance to process variations. This technique is simple and easy to implement for practical applications. Experimental results on benchmark circuits with both buffered and unbuffered routings exhibit large improvement on wirelength and buffer cost compared with other existing works.

This paper describes the classification, detailed timing characterization, evaluation, and design of the dual-edge triggered storage elements (DETSE). The performance and power characterization of DETSE includes the effect of clocking at halved clock frequency and impact of load imposed by the storage element to the clock distribution network. The presented analysis estimates the timing penalty and power savings of a system based on DETSE, and gives design guidelines for high-performance and low-power application. In addition, the paper presents a class of dual-edge triggered flip-flops with clock load, delay, and internal power consumption comparable to the fastest single-edge triggered storage elements (SETSE). Our simulated results show that by halving the clock frequency, dual-edge clocking strategy can save about 50% of the power consumed by the clock distribution network, and relax the design of clock distribution system, while paying virtually no penalty in throughput.

The clock distribution and generation circuitry forms a critical component of current synchronous digital systems and is known to consume at least a quarter of the power budget of existing microprocessors. We propose and validate a high level model for evaluating the energy dissipation of the clock generation and distribution circuitry, including both the dynamic and leakage power components. The validation results show that the model is reasonably accurate, with the average deviation being within 10% of SPICE simulations. Access to this model can enable further research at high-level design stages in optimizing the system clock power. To illustrate this, a few architectural modifications are considered and their effect on the clock subsystem and the total system power budget is assessed.

A summary of electrical and optical approaches to clock distribution within high-performance microprocessors is presented. System-level properties of intrachip electrical clock distribution networks corresponding to three microprocessor families are summarized. It is found that global clock interconnect performance and short-term jitter present the greatest challenges to the continued use of conventional clock distribution methodologies. An extrapolation of trends describing the percentage of clock period consumed by global skew and short-term jitter identifies the 32-nm technology generation of the 2002 International Technology Roadmap for Semiconductors (ITRS) as the first technology generation within which alternate methods of clock distribution may be warranted. Research efforts investigating interboard through intrachip optical clock distribution are also summarized. An optical distribution network compatible with high volume manufacturing in conjunction with a suitable means of providing optical-to-electrical signal conversion comprise the two fundamental challenges facing successful implementation of an optical clock distribution network. It is found that a global guided-wave distribution capable of efficient input and output coupling of optical power is required to meet the first challenge. The identification of a suitable means of optical-to-electrical conversion, however, remains an active topic of research.

Accurate clock skew budgets are important for microprocessor designers to avoid hold-time failures and to properly allocate resources when optimizing global and local paths. Many published clock skew budgets neglect voltage jitter and process variation, which are becoming dominant factors in otherwise balanced H-trees. However, worst-case process variation assumptions are severely pessimistic. This paper describes the major sources of clock skew in a microprocessor using a modified H-tree and applies the model to a second-generation Itanium-M processor family microprocessor currently under design. Monte Carlo simulation is used to develop statistical clock skew budgets for setup and hold time constraints in a four-level skew hierarchy. Voltage jitter through the phase locked loop (PLL) and clock buffers accounts for the majority of skew budgets. We show that taking into account the number of nearly critical paths between clocked elements at each level of the skew hierarchy and variations in the data delays of these paths reduces the difference between global and local skew budgets by more than a factor of two. Another insight is that data path delay variability limits the potential cycle-time benefits of active deskew circuits because the paths with the worst skew are unlikely to also be the paths with the longest data delays.

Selecting a clock period is an essential step in implementing hardware from behavioral descriptions. Current methods either estimate the clock prior to scheduling or involve exhaustive runs of the high-level synthesis tools to obtain a globally optimum clock period. Further, the potential benefits of allowing the use of multiple clocks for performance optimization has not been investigated. This paper presents a clock selection method that works simultaneously with synthesis by selecting a clock from an optimal clock set. The synthesis is iterative and is optimized by evolutionary techniques. The method is very flexible and can accommodate a large set of potentially optimal clocks. We also present multirate clock synthesis with path-dependent clock selection where different paths in a control data flow graph (CDFG) are optimized with different clock periods. The results shown prove the method's effectiveness.

A new concept of chip and package co-design for the clock network is presented in this paper. We propose a two level clock distribution scheme which partitions the clock network into two levels. First, the clock terminals are partitioned into a set of clusters. For each cluster, a local on-chip clock tree is used to distribute the clock signal from a locally inserted buffer to terminals inside this cluster. The clock signal is then distributed from the main clock driver to each of local buffers by means of a global clock tree, which is a planar tree with equal path lengths. With the flip chip area I/O attachment, the planar global clock tree can be put on a dedicated package layer. The interconnect on the package layer has two to four order smaller resistance than that on the chip layer. The main contribution of this paper is a novel algorithm to construct a planar clock tree with equal path lengths-the length of the path from the clock source to each destination is exactly the same. In addition, the path length from the source to destinations is minimized.

An integrated top-down design methodology is presented in this brief for synthesizing high performance clock distribution networks based on application dependent localized clock skew. The methodology is divided into four phases: (1) determining an optimal clock skew schedule composed of a set of nonzero clock skew values and the related minimum clock path delays; (2) designing the topology of the clock distribution network with delays assigned to each branch based on the circuit hierarchy, the aforementioned clock skew schedule, and minimizing process and environmental delay variations; (3) designing circuit structures to emulate the delay values assigned to the individual branches of the clock tree; and (4) designing the physical layout of the clock distribution network. The clock distribution network synthesis methodology is based on CMOS technology. The clock lines are transformed from distributed resistive capacitive interconnect lines into purely capacitive interconnect lines by partitioning the RC interconnect lines with inverting repeaters. Variations in process parameters are considered during the circuit design of the clock distribution network to guarantee a race-free circuit. Nominal errors of less than 2.5% for the delay of the clock paths and 7% for the clock skew between any two registers belonging to the same global data path as compared with SPICE Level-3 are demonstrated.

The thermal gradients existing in high-performance circuits may significantly affect their timing behavior, in particular by increasing the skew of the clock net and/or altering hold/setup constraints, possibly causing the circuit to operate incorrectly. The knowledge of the spatial distribution of temperature can be used to properly design a clock network that is able to compensate such thermal non-uniformities. However, re-design of the clock network is effective only if temperature distribution is stationary, i.e., does not change over time. In this work, we specifically address the problem of dynamically modifying the clock tree in such a way that it can compensate for temporal variations of temperature. This is achieved by exploiting the buffers that are inserted during the clock network generation, by transforming them into tunable delay elements. Temperature-induced delay variations are then compensated by applying the proper tuning to the tunable buffers, which is computed off-line and, stored in a tuning table inserted in the design. We propose an algorithm to minimize the number of inserted tunable buffers, as well as their tunable range (which directly relates to complexity). Results show that clock skew is kept within original bounds with minimum area and power penalty. The maximum increase in power is 23.2% with most benchmarks exhibiting less than 5% increase in power