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IEEE Transactions on Applied Superconductivity

Toward a systematic design methodology for large multigigahertz rapid single flux quantum circuits

Kris Gaj, Quentin Herr, Victor Adler, DARREN K. BROCK, Eby G. Friedman, M. J. Feldman

Published Jan 1, 1999• 25 citations
Publisher

Abstract

Rapid single flux quantum (RSFQ) digital circuits have reached the level of medium- to large-scale of integration. At this level, existing design methodologies, developed specifically for RSFQ circuits, have become computationally inefficient. Applying mature semiconductor methodologies to the design of RSFQ circuits, one encounters substantial difficulties originating from the differences between both technologies. In this paper, a new design methodology aimed at large-scale RSFQ circuits is proposed. This methodology is based on a semiconductor semicustom design approach. An established design methodology for small-stale RSFQ digital circuits, based on circuit (junction-level) simulation and device parameter optimization, is used for the design of basic RSFQ cells. A library composed of about 20 basic RSFQ cells has been developed based on this approach. A novel design methodology for large-scale circuits, presented in this paper, is based on logic (gate-level) simulation and timing optimization. This methodology has been implemented around the Cadence integrated design environment and used successfully at the University of Rochester for the design of two large-scale digital circuits.

DOI
10.1109/77.791915

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Rapid single flux quantum (RSFQ) digital circuits have reached the level of medium- to large-scale of integration. At this level, existing design methodologies, developed specifically for RSFQ circuits, have become computationally inefficient. Applying mature semiconductor methodologies to the design of RSFQ circuits, one encounters substantial difficulties originating from the differences between both technologies. In this paper, a new design methodology aimed at large-scale RSFQ circuits is proposed. This methodology is based on a semiconductor semicustom design approach. An established design methodology for small-stale RSFQ digital circuits, based on circuit (junction-level) simulation and device parameter optimization, is used for the design of basic RSFQ cells. A library composed of about 20 basic RSFQ cells has been developed based on this approach. A novel design methodology for large-scale circuits, presented in this paper, is based on logic (gate-level) simulation and timing optimization. This methodology has been implemented around the Cadence integrated design environment and used successfully at the University of Rochester for the design of two large-scale digital circuits.
The semiconductor industry standard computer-aided-design (CAD) tool Cadence has been calibrated for a 3 /spl mu/m Niobium technology in order to design and build superconductive single flux quantum (SFQ) circuits. The top-down design methodology includes Verilog functional simulation, schematic capture, graphic layout, functional verification, design rule checking, electrical rule checking, and layout-vs.-schematic verification. This design framework has been used successfully at the University of Rochester in designing more than 15 elementary SFQ cells and three large scale digital and mixed-signal SFQ circuits, demonstrating significant improvement in both design efficiency and accuracy.
Rapid Single Flux Quantum (RSFQ) logic is a digital circuit technology that in recent years has presented itself as an alternative to semiconductors in the application of ultra high speed, very low power applications. The optimal timing of digital circuits operating at hundreds of Gigahertz is still a complex problem for both RSFQ and semiconductor technologies. The fact that most RSFQ gates require a clock signal to function makes this even more complex. Various RSFQ liming schemes have been adapted from semiconductor design methodologies, and some have been designed specifically for RSFQ. Currently, synchronous clocking schemes outperform other schemes, but with the scale of RSFQ circuits ever increasing, the proper use of timing schemes are becoming more crucial. This paper describes a new asynchronous self-timing scheme where the details of clock distribution and clocking are built into the logic gates. Tests were done on the newly developed asynchronous logic-gales and a asynchronous full adder was implemented and tested.
Rapid single flux quantum (RSFQ) logic is a digital circuit technology that in recent years has presented itself as an alternative to semiconductors in the application of ultra high speed, very low power applications. The optimal timing of digital circuits operating at hundreds of GHz is still a complex problem for both RSFQ and semiconductor technologies. The fact that most RSFQ gates require a clock signal to function makes this even more complex. Various RSFQ timing schemes have been adapted from semiconductor design methodologies, and some have been designed specifically for RSFQ. Currently, synchronous clocking schemes outperform other schemes, but with the scale of RSFQ circuits ever increasing, the proper use of timing schemes are becoming more crucial. This paper describes a new asynchronous self-timing scheme where the details of clock distribution and clocking are built into the logic gates. Tests were done on the newly developed asynchronous logic gates and an asynchronous full adder was implemented and tested
In contrast to transistor-based semiconductor circuits, there is currently no widely accepted formalized circuit theory or design methodology for superconductor rapid single flux quantum (RSFQ) logic circuits. Experienced designers intuitively consider flux loops, nodal phase, and branch currents when making design choices, but the lack of a formalized design process makes it difficult for inexperienced RSFQ circuit designers to construct a functioning logic cell without a reference. This results in new circuit designers, mostly recycling templates from published circuit designs without fully understanding why the circuits function as they do. Inexperienced RSFQ circuit designers often follow an iterative process where cell parameter values are adjusted, and the cell is run through electronic simulation engines until the desired functionality is reached. We propose the development of a formalized circuit design theory for RSFQ logic from first principles using phase-based circuit analysis. The circuit is designed using dc analysis to establish the dc operating point of the circuit. Phase-based analysis and simulation are then used to verify the dynamic circuit functionality. To demonstrate this method, we discuss examples for well-known RSFQ cells. We analyze the initial operating margins of these designs and discuss design accuracy and efficiency. Methods for current regulation to minimize current leakage between cells are discussed. We also present how this design methodology can be used to design new circuits such as an RSFQ XNOR cell. We investigate how an inverting (NOT) cell can be combined with other logic cells to minimize cell latency.
Successful fabrication and demonstration of complex Rapid Single Flux Quantum (RSFQ) circuits depend heavily on the reliability of the cell library that is used for the design. In large-scale RSFQ integrated circuits, delay fluctuations (jitter) of each cell may occur due to fabrication tolerances. The fabrication-induced jitter of each cell might accumulate at each stage and bring out larger variations comparable with the designed delay. If such jitter is not considered while arranging timing of the circuit, it may cause the circuit to malfunction due to the shifting of SFQ pulses. Therefore, it is important to optimize and determine the delay fluctuations of each cell well before designing a large-scale integrated circuit. There are quite a number of parameters that affect the functioning and the performance of a logic gate; hence, an optimization tool is required. In this study, the progress on development of an optimization tool for a digital RSFQ cell library composed of fundamental logic gates, such as Josephson transmission lines, D-flip-flops, T-Flip-flops, splitters, and mergers are presented. Particle swarm optimization is used for an optimization algorithm, which determines the circuit parameters with minimum delay and/or jitter satisfying the required critical margin conditions.
The article describes the activities aimed at bringing superconductive high-speed electronics towards maturity.Integrated circuits based on the effects in superconducting materials have become feasible for some years already.The main focus lies on the so-called Rapid Single-Flux-Quantum (RSFQ) electronics which allows the combination of high operation frequencies (well above 20 GHz) with very low energy consumption when logical states are changed.Thus, this circuit technology exhibits a promising potential for realising energy-efficient modules for signal processing and computing.Recently, a dedicated design infrastructure has been developed in Europe.Closely associated is a foundry for digital RSFQ integrated circuits so that the fabrication of integrated circuits is viable.In the contribution, the basic features of the RSFQ circuit design are addressed with special emphasis on implementation on the wafer scale.