Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Transactions on Applied Superconductivity

Design and low speed testing of a four-bit RSFQ multiplier-accumulator

Quentin Herr, Nada Vukovic, C.A. Mancini, Kris Gaj, Qing Ke, Victor Adler, Eby G. Friedman, Andrzej Kraśniewski, Mark F. Bocko, M. J. Feldman

Published Jun 1, 1997• 24 citations
Publisher

Abstract

We have designed and RSFQ multiplier-accumulator, the central component of our decimation digital filter. The circuit consists of 38 synchronous RSFQ cells of six types arranged into a rectangular systolic array fed by one parallel input and one serial input. Timing is based on counter-flow clock distribution scheme with simulated maximum clock frequency of 11 GHz. The circuit, fabricated at Hypres, Inc., contains 1100 Josephson junctions, has power consumption less than 0.2 mW, and area less than 2.5 mm/sup 2/. The multiplier-accumulator has been tested at low frequency demonstrating full functionality and stable operation over a 24 hour testing period. This four-bit multiplier accumulator is one of the largest reported RSFQ circuits verified experimentally to date.

DOI
10.1109/77.622003

Related papers

High speed testing of a four-bit RSFQ decimation digital filter

Quentin Herr, Kris Gaj, Andrea M. Herr +4 more

We have developed a high speed test scheme for RSFQ circuits, in order to measure the maximum clock frequency of a four-bit RSFQ decimation digital filter (simulated to be 11 GHz). Our high speed test requires only a low speed interface and standard low-cost measurement equipment. Three auxiliary test units built of simple RSFQ circuits are used. A circular JTL structure generates an on-chip high speed clock with frequency adjustable from 4 to 16 GHz. A pseudo-random number generator with period 64 clock cycles provides parallel input to the filter. Finally, 12 four-bit acquisition shift registers collect output data. We have integrated all the above units on a single chip. The chip is initialized at low speed, run at high speed, and read out at low speed. Our testing scheme is superior to previously reported high-speed tests in the area of the added circuitry, in the requirements on high-speed input/output, in control, and in the parameters of the measurement equipment. The scheme can be easily adapted to test various RSFQ circuits.

IEEE Transactions on Applied Superconductivity•Jun 1, 1997•25 citations

RSFQ Signed Serial Multiplier–Accumulator

Nikolai Joukov, M.S. Tivari, Vasili K. Semenov

We have designed and successfully tested at low speed a rapid single flux quantum signed serial multiplier-accumulator with target clock frequency 20 GHz. Each bit slice of the device consists of 106 Josephson junctions and 90 resistors. It consumes 22 mA of current and occupies 0.3 mm/sup 2/. The accumulator of the developed multiplier makes two (rather than three) primitive operations per cycle without any additional overheads. This makes it fast and very robust. In particular, /spl plusmn/18% bias supply margins have been measured in a four-slice multiplier. This is our first device where superconductor microstrip lines (MSLs) have been routinely used. The MSL interfaces introduce some overhead but it is compensated by the simplicity of the design procedure.

IEEE Transactions on Applied Superconductivity•Mar 1, 2005•5 citations

RSQO asynchronous serial multiplier and spreading codes generator for multiuser detector

Anna Kidiyarova-Shevchenko, K. Yu. Platov, E. Tolkacheva +1 more

Serial multiplier and serial spreading code generators are vital elements of the RSFQ multiuser detector. We have designed different versions of both circuits to achieve maximum speed and at the same time minimize Josephson junction count. Comparison of different serial multipliers architectures supporting signed multiplication favored for asynchronous shifting over zero circuits based on carry save adder and co-flow distribution of the partial product and the clock. A 25-bit spreading code generator supporting parallel input/output has been designed for 4 kA/cm/sup 2/ (TRW) and for 1 kA/cm/sup 2/ (HYPRES) processes. The corresponding maximum simulated clock speed of 52 GHz and 26 GHz and effective device area of 1/spl times/0.12 mm/sup 2/ and 1.9/spl times/0.2 mm/sup 2/.

IEEE Transactions on Applied Superconductivity•Jun 1, 2003•8 citations

RSFQ 4-bit Bit-Slice Integer Multiplier

Guang-Ming Tang, Kazuyoshi Takagi, Naofumi Takagi

A rapid single-flux-quantum (RSFQ) 4-bit bit-slice multiplier is proposed. A new systolic-like multiplication algorithm suitable for RSFQ implementation is developed. The multiplier is designed using the cell library for AIST 10-kA/cm2 1.0-μm fabrication technology (ADP2). Concurrent flow clocking is used to design a fully pipelined RSFQ logic design. A 4n x 4n-bit multiplier consists of 2n + 17 stages. For verifying the algorithm and the logic design, a physical layout of the 8 x 8-bit multiplier has been designed with target operating frequency of 50 GHz and simulated. It consists of 21 stages and 11, 488 Josephson junctions. The simulation results show correct operation up to 62.5 GHz.

IEICE Transactions on Electronics•Jan 1, 2016•12 citations

Implementation of a FFT radix 2 butterfly using serial RSFQ multiplier-adders

Oleg A. Mukhanov, Alex F. Kirichenko

We have designed a Decimation-in-Time (DIT) radix 2 butterfly integrated circuit. This circuit will be used to implement the 32-point Fast Fourier Transform (FFT) in a parallel data flow architecture. The radix 2 butterfly circuit uses serial RSFQ math and consists of four single bit-wide serial multipliers and eight carry-save serial adders. The circuit with 16-bit word-length employs only 3400 junctions, occupies an area of 3.8/spl times/2.0 mm/sup 2/, and dissipates less than 1.1 mW power. The multiplier is implemented using the unique RSFQ bit-clock-pipelined schema. We have successfully tested a library of serial multiply-add elements: the 8-bit multiplier at 6.3 GHz and adders with dc bias margin /spl plusmn/20%. Finally, we have demonstrated full operation of the radix 2 butterfly chip with 5-bit word length.>

IEEE Transactions on Applied Superconductivity•Jun 1, 1995•52 citations

Design of 8-Bit RSFQ Based Multiplier for DSP Application

N. Kamakshamma, P. Kullaya Swamy

Abstract: We have developed and experimentally evaluated at high-speed, a complete set of arithmetic circuits (multiply, add, and accumulate) for high performance digital signal processing (DSP). These circuits take advantage of the unique features of the Rapid Single-Flux Quantum (RSFQ) logic/memory family, including fusion of logic and memory functions at the gate level, pulse representation of clock and data, and the ability to maintain inter cell propagation delays using Josephson transmission lines (JTLs). The circuits developed have been successfully used in the implementation of a serial radix 2 butterfly, a decimation digital filter, and of an arithmetic unit for digital beam forming. The 8×8-bit RSFQ multiplier uses a two- level parallel carry- save reduction tree that significantly reduces the multiplier latency. The 80-GHz carry-save reduction is implemented with asynchronous data-driven wave pipelined [4:2] compressors built with toggle flip-flop cells.

International Journal of Innovative Research in Electronics and Communications•Jan 1, 2015•0 citations
We have designed and RSFQ multiplier-accumulator, the central component of our decimation digital filter. The circuit consists of 38 synchronous RSFQ cells of six types arranged into a rectangular systolic array fed by one parallel input and one serial input. Timing is based on counter-flow clock distribution scheme with simulated maximum clock frequency of 11 GHz. The circuit, fabricated at Hypres, Inc., contains 1100 Josephson junctions, has power consumption less than 0.2 mW, and area less than 2.5 mm/sup 2/. The multiplier-accumulator has been tested at low frequency demonstrating full functionality and stable operation over a 24 hour testing period. This four-bit multiplier accumulator is one of the largest reported RSFQ circuits verified experimentally to date.
We have developed a high speed test scheme for RSFQ circuits, in order to measure the maximum clock frequency of a four-bit RSFQ decimation digital filter (simulated to be 11 GHz). Our high speed test requires only a low speed interface and standard low-cost measurement equipment. Three auxiliary test units built of simple RSFQ circuits are used. A circular JTL structure generates an on-chip high speed clock with frequency adjustable from 4 to 16 GHz. A pseudo-random number generator with period 64 clock cycles provides parallel input to the filter. Finally, 12 four-bit acquisition shift registers collect output data. We have integrated all the above units on a single chip. The chip is initialized at low speed, run at high speed, and read out at low speed. Our testing scheme is superior to previously reported high-speed tests in the area of the added circuitry, in the requirements on high-speed input/output, in control, and in the parameters of the measurement equipment. The scheme can be easily adapted to test various RSFQ circuits.
We have designed and successfully tested at low speed a rapid single flux quantum signed serial multiplier-accumulator with target clock frequency 20 GHz. Each bit slice of the device consists of 106 Josephson junctions and 90 resistors. It consumes 22 mA of current and occupies 0.3 mm/sup 2/. The accumulator of the developed multiplier makes two (rather than three) primitive operations per cycle without any additional overheads. This makes it fast and very robust. In particular, /spl plusmn/18% bias supply margins have been measured in a four-slice multiplier. This is our first device where superconductor microstrip lines (MSLs) have been routinely used. The MSL interfaces introduce some overhead but it is compensated by the simplicity of the design procedure.
Serial multiplier and serial spreading code generators are vital elements of the RSFQ multiuser detector. We have designed different versions of both circuits to achieve maximum speed and at the same time minimize Josephson junction count. Comparison of different serial multipliers architectures supporting signed multiplication favored for asynchronous shifting over zero circuits based on carry save adder and co-flow distribution of the partial product and the clock. A 25-bit spreading code generator supporting parallel input/output has been designed for 4 kA/cm/sup 2/ (TRW) and for 1 kA/cm/sup 2/ (HYPRES) processes. The corresponding maximum simulated clock speed of 52 GHz and 26 GHz and effective device area of 1/spl times/0.12 mm/sup 2/ and 1.9/spl times/0.2 mm/sup 2/.
A rapid single-flux-quantum (RSFQ) 4-bit bit-slice multiplier is proposed. A new systolic-like multiplication algorithm suitable for RSFQ implementation is developed. The multiplier is designed using the cell library for AIST 10-kA/cm2 1.0-μm fabrication technology (ADP2). Concurrent flow clocking is used to design a fully pipelined RSFQ logic design. A 4n x 4n-bit multiplier consists of 2n + 17 stages. For verifying the algorithm and the logic design, a physical layout of the 8 x 8-bit multiplier has been designed with target operating frequency of 50 GHz and simulated. It consists of 21 stages and 11, 488 Josephson junctions. The simulation results show correct operation up to 62.5 GHz.
We have designed a Decimation-in-Time (DIT) radix 2 butterfly integrated circuit. This circuit will be used to implement the 32-point Fast Fourier Transform (FFT) in a parallel data flow architecture. The radix 2 butterfly circuit uses serial RSFQ math and consists of four single bit-wide serial multipliers and eight carry-save serial adders. The circuit with 16-bit word-length employs only 3400 junctions, occupies an area of 3.8/spl times/2.0 mm/sup 2/, and dissipates less than 1.1 mW power. The multiplier is implemented using the unique RSFQ bit-clock-pipelined schema. We have successfully tested a library of serial multiply-add elements: the 8-bit multiplier at 6.3 GHz and adders with dc bias margin /spl plusmn/20%. Finally, we have demonstrated full operation of the radix 2 butterfly chip with 5-bit word length.>
Abstract: We have developed and experimentally evaluated at high-speed, a complete set of arithmetic circuits (multiply, add, and accumulate) for high performance digital signal processing (DSP). These circuits take advantage of the unique features of the Rapid Single-Flux Quantum (RSFQ) logic/memory family, including fusion of logic and memory functions at the gate level, pulse representation of clock and data, and the ability to maintain inter cell propagation delays using Josephson transmission lines (JTLs). The circuits developed have been successfully used in the implementation of a serial radix 2 butterfly, a decimation digital filter, and of an arithmetic unit for digital beam forming. The 8×8-bit RSFQ multiplier uses a two- level parallel carry- save reduction tree that significantly reduces the multiplier latency. The 80-GHz carry-save reduction is implemented with asynchronous data-driven wave pipelined [4:2] compressors built with toggle flip-flop cells.