Differential current-sensing for on-chip interconnects

This paper presents a differential current-sensing technique as an alternative to existing circuit techniques for on-chip interconnects. Using a novel receiver circuit, it is shown that, delay-optimal current-sensing is a faster (20% on an average) option as compared to the delay-optimal repeater insertion technique for single-cycle wires. Delay benefit for current-sensing increases with an increase in wire width. Unlike repeaters, current-sensing does not require placement of buffers along the wire, and hence, eliminates any placement constraints. Inductive effects are negligible in differential current-sensing. Current-sensing also provides a tighter bound on delay with respect to process variations. However, current-sensing has some drawbacks. It is power inefficient due to the presence of static-power dissipation. Current-sensing is essentially a low-swing signaling technique, and hence, it is sensitive to full swing aggressor noise.     

High-frequency on-chip inductance model

The effect of random signal lines on the on-chip inductance is quantitatively investigated, using an S-parameter-based methodology and a full wave solver, leading to an empirical model for high-frequency inductance. The results clearly indicate that the random signal lines as well as designated ground lines provide return paths for gigahertz-frequency signals. In particular, quasi TEM-wave-like propagation mode is observed above 10 GHz, revealing a unique relationship between capacitance and inductance of the signal line. Incorporating the random capacitive coupling effect, our frequency-dependent RLC model is confirmed to be valid up to 100 GHz.     

SPICE compatible modelling of on-chip coupled interconnects

On-chip coupled interconnect lines are modelled using measured S-parameters. The physical consistency between single and coupled line model parameters are maintained in the proposed methodology. The SPICE compatible model is validated in both the frequency and the time domain using copper and ultra low-kappa coupled interconnects.     

Near speed-of-light signaling over on-chip electrical interconnects

The propagation limits of electrical signals for systems built with conventional silicon processing are explored. A design which takes advantage of the inductance-dominated high-frequency regime of on-chip interconnect is shown capable of transmitting data at velocities near the speed of light. In a 0.18-/spl mu/m six-level aluminum CMOS technology, an overall delay of 283 ps for a 20-mm-long line, corresponding to a propagation velocity of one half the speed of light in silicon dioxide, has been demonstrated. This approach offers a five times improvement in delay over a conventional repeater-insertion strategy.     

Electromigration challenges for advanced on-chip Cu interconnects

As technology scales down, the gap between what circuit design needs and what technology allows is rapidly widening for maximum allowed current density in interconnects. This is the so-called EM crisis. This paper reviews the precautions and measures taken by the interconnect process development, circuit design and chip integration to overcome this challenge. While innovative process integration schemes, especially direct and indirect Cu/cap interface engineering, have proven effective to suppress Cu diffusion and enhance the EM performance, the strategies for circuit/chip designs to take advantage of specific layout and EM failure characteristics are equally important to ensure overall EM reliability and optimized performance. To enable future technology scaling, a co-optimization approach is essential including interconnect process development, circuit design and chip integration.     

Skin effect of on-chip copper interconnects on electromigration

A simple model is derived to evaluate skin effect of on-chip copper interconnects on electromigration. The result gives the range of frequency in which skin effect on electromigration need to be taken into consideration.     

High-speed completion detection for current sensing on-chip interconnects

A novel completion detection technique for delay insensitive current sensing on-chip interconnects is presented. The scheme is based on sensing currents on the data wires and comparing the sum of these currents to an appropriately set reference. The goal is to solve the performance bottleneck caused by conventional voltage-mode detection methods. With the channel width of 64 bits, the proposed method is 4.65 times faster and takes 36% less area than the voltage-mode scheme. Furthermore, its speed does not degrade when increasing the channel bit width. It is implemented in a 65 nm CMOS technology.     

A unified RLC model for high-speed on-chip interconnects

In this paper, we propose a compact on-chip interconnect model for full-chip simulation. The model consists of two components, a quasi-three-dimensional (3-D) capacitance model and an effective loop inductance model. In the capacitance model, we propose a novel concept of effective width (W/sub eff/) for a 3-D wire, which is derived from an analytical two-dimensional (2-D) model combined with a new analytical "wall-to-wall" model. The effective width provides a physics-based approach to decompose any 3-D structure into a series of 2-D segments, resulting in an efficient and accurate capacitance extraction. In the inductance model, we use an effective loop inductance approach for an analytic and hierarchical model construction. In particular, we show empirically that high-frequency signals (above multi-GHz) propagating through random signal lines can be approximated by a quasi-TEM mode relationship, leading to a simple way to extract the high-frequency inductance from the capacitance of the wire. Finally, the capacitance and inductance models are combined into a unified frequency-dependent RLC model, describing successfully the wide-band characteristics of on-chip interconnects up to 100 GHz. Non-orthogonal wire architecture is also investigated and included in the proposed model.     

Designing fast on-chip interconnects for deep submicrometer technologies

This paper proposes a solution to the problem of improving the speed of on-chip interconnects, or wire delay, for deep submicron technologies where coupling capacitance dominates the total line capacitance. Simultaneous redundant switching is proposed to reduce interconnect delays. It is shown to reduce delay more than 25% for a 10-mm long interconnect in a 0.12-/spl mu/m CMOS process compared to using shielding and increased spacing. The paper also proposes possible design approaches to reduce the delay in local interconnects.     

Enhanced transmission characteristics of on-chip interconnects withorthogonal gridded shield

On-chip interconnects over an orthogonal grid of grounded shielding lines on the silicon substrate are characterized by full-wave electromagnetic simulation. The analysis is based on a unit cell of the periodic shielded interconnect structure. It is demonstrated that the shielding structure may help to significantly enhance the transmission characteristics of on-chip interconnects particularly in analog and mixed-signal integrated circuits with bulk substrate resistivity on the order of 10 Ω-cm. Simulation results for the extracted R, L, G, C transmission line parameters show a significant decrease in the frequency-dependence of the distributed shunt capacitance as well as decrease in shunt conductance with the shielding structure present, while the series inductance and series resistance parameters are nearly unaffected. An extension of the equivalent circuit model for the shunt admittance of unshielded on-chip interconnects to include the effects of shielding is also presented     

A design-oriented methodology for accurate modeling of on-chip interconnects

An accurate modeling methodology for typical on-chip interconnects used in the design of high frequency digital, analog, and mixed signal systems is presented. The methodology includes the parameter extraction procedure, the equivalent circuit model selection, and mainly the determination of the minimum number of sections required in the equivalent circuit for accurate representing interconnects of certain lengths within specific frequency ranges while considering the frequency-dependent nature of the associated parameters. The modeling procedure is applied to interconnection lines up to 35 GHz obtaining good simulation-experiment correlations. In order to verify the accuracy of the obtained models in the design of integrated circuits (IC), several ring oscillators using interconnection lines with different lengths are designed and fabricated in Austriamicrosystems 0.35 μm CMOS process. The average error between the experimental and simulated operating frequency of the ring oscillators is reduced up to 2% when the interconnections are represented by the equivalent circuit model obtained by applying the proposed methodology.     

Loop-based inductance extraction and modeling for multiconductor on-chip interconnects

An efficient extraction and modeling methodology for self and mutual inductances within multiconductors for on-chip interconnects is investigated. The method is based on physical layout considerations and current distribution on multiple return paths, leading to loop inductance and resistance. It provides a lumped circuit model suitable for timing analysis in any circuit simulator, which can represent frequency-dependent characteristics. This novel modeling methodology accurately provides the mutual inductance and resistance as well as self terms within a wide frequency range without using any fitting algorithm. Measurement results for single and coupled wires within a multiconductor system, fabricated using 0.13 and 0.18 /spl mu/m CMOS technologies, confirm the validity of the proposed method. Our methodology can be applicable to high-speed global interconnects for post-layout as well as prelayout extraction and modeling.     

Silicon oxynitride integrated waveguide for on-chip optical interconnects applications

This work explores the microfabrication technology for realizing miniature waveguide structure for on-chip optical interconnects applications. Thick oxynitride films were prepared by plasma enhanced chemical vapor deposition (PECVD) with N₂O, NH₃ and SiH₄ precursors. The composition and the bonding structure of the oxynitride films were investigated with Fourier transform infrared spectroscopy (FTIR), X-ray photoelectron spectroscopy (XPS), and secondary ion mass spectroscopy. Results showed that the silicon oxynitride deposited with gas flow rates of NH₃/N₂O/SiH₄ = 10/400/10 (sccm) has favorable properties for integrated waveguide applications. The refractive index of this layer is about 1.5 and the layer has comparative low densities of O–H and N–H bonds. The hydrogen bonds can be further eliminated with high temperature annealing of the as-deposited film in nitrogen ambient and the propagation loss can be reduced significantly with thermal annealing. An integrated miniature waveguide with cross-section of 2 μm × 3 μm was realized with the proposed technology. The waveguide is able to transmit signal in either TE or TM mode with propagation loss <0.6 dB/cm (at 1550 nm) and bending radius of about 6 μm.     

Quantifying the effect of local interconnects on on-chip power distribution

Existing methods to analyze and optimize on-chip power distribution networks typically focus only on global power network modeled as a two-dimensional mesh. In practice, current is supplied to switching transistors through a local power network at the lower metal layers. The local power network is connected to a global network through a stack of vias. The effect of these vias and the resistance of the local power network are typically ignored when optimizing a power network and placing decoupling capacitors. By modeling the power distribution network as a three-dimensional mesh, the error due to ignoring via and local interconnect resistances is quantified. It is demonstrated that ignoring the local power network and vias can both underestimate (by up to 45%) or overestimate (by up to 50%) the effective resistance of a power distribution network. The error depends upon multiple parameters such as the width of local and global power lines and via resistance. A design space is also generated to indicate the valid width of local and global power lines where the target resistance is satisfied. It is shown that a wider global network can be used to obtain a narrower local network, providing additional flexibility in the physical design process since routability is an important concern at lower metal layers. At high via resistances, however, this approach causes significant increase in the width of a global power network, indicating the growing significance of local power network and vias.     

Experimental validation of crosstalk simulations for on-chip interconnects using S-parameters

Since the design of advanced microprocessors is based on simulation tools, accurate assessments of the amount of crosstalk noise are of paramount importance to avoid logic failures and less-than-optimal designs. With increasing clock frequencies, inductive effects become more important, and the validity of assumptions commonly used in simulation tools and approaches is unclear. We compared accurate experimental S-parameters with results derived from both magneto-quasi-static and full-wave simulation tools for simple crosstalk structures with various capacitive and inductive couplings, in the presence of parallel and orthogonal conductors. Our validation approach made possible the identification of the strengths and weaknesses of both tools as a function of frequency, which provides useful guidance to designers who have to balance the tradeoffs between accuracy and computation expenses for a large variety of cases     

High-frequency MOS digital capacitor

A MOS digital capacitor capable of operation at VHF and UHF frequencies is described. This new device is made up of a parallel combination of MOS capacitors each of which can be individually switched between two distinct capacitance values; a maximum binary state being the high-frequency MOS inversion capacity and the minimum being that of a deep-depletion MOS device, Switching is accomplished by on chip MOSFET's. Isolation of the RF terminals is accomplished by the high intervening channel impedances of the switching MOS gates. The basic structure and the principles of operation will be discussed, and operational performance figures for RF tuning range, linearity, dynamic range, and figure of merit Q will be presented.     

Evaluating the effects of temperature gradients and currents nonuniformity in on-chip interconnects

The paper provides a compact but accurate electro-thermal model of a long wiring on-chip interconnect embedded in the complex layout of a ULSI digital circuit. The proposed technique takes into account both the effect of temperature gradients over the chip substrate and the interconnect self-heating due to current flow. The proposed compact model is well suited to be interfaced with commercially available CAD tools employed for interconnect parasitic extraction and signal integrity verification. The paper also investigates the electro-thermal effects that arise in a long wiring on-chip interconnect in which current flow is dominated by displacement currents and thus is not uniform along the line.     

Integrated thermal-fluidic I/O interconnects for an on-chip microchannel heat sink

Power dissipation in microprocessors will reach a level that necessitates chip-level liquid cooling in the near future. An on-chip microfluidic heat sink can reduce the thermal interfaces between an IC chip and the convective cooling medium. Through wafer-level processing, integrated thermal-fluidic I/O interconnects enable on-chip microfluidic heat sinks with ultrasmall form factor at low-cost. This letter describes wafer-level integration of microchannels at the wafer back-side with through-wafer fluidic paths and thermal-fluidic input/output interconnection for future generation gigascale integrated chips.     

CMOS design and analysis of low-voltage signaling methodology for energy efficient on-chip interconnects

This paper provides a comparative study of the low-voltage signaling methodologies in terms of delay, energy dissipation, and energy delay product (energy×delay), and sensitivity technology process variations, and noise. We also present the design of two symmetric low-swing driver-receiver pairs for driving signals on the global interconnect lines. The key advantage of the proposed signaling schemes is that they require only one power supply and threshold voltage, hence significantly reducing the design complexity. The proposed signaling schemes were implemented on 1.0 V CMOS technology, for signal transmission along a wire-length of 10 mm. When compared with other counterpart symmetric and asymmetric low-swing signaling schemes, the proposed schemes perform better in terms of delay, energy dissipation and energy×delay.