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International Journal of Innovative Research in Electronics and Communications

Design of 8-Bit RSFQ Based Multiplier for DSP Application

N. Kamakshamma, P. Kullaya Swamy

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

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.

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20-GHz 8 ×\times× 8-bit Parallel Carry-Save Pipelined RSFQ Multiplier

M. Dorojevets, Artur K. Kasperek, Nobuyuki Yoshikawa +1 more

We will discuss the microarchitecture, design, and testing of the first 8 × 8-bit (by modulo 256) parallel carry-save RSFQ multiplier implemented using the ISTEC 10- kA/cm21.0-μm fabrication technology. Partial products are asynchronously generated and sent to the reduction stage at the internal “hardwired” rate of 80 GHz. 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. The design has mostly regular layout with both local and global connections between modules. The multiplier core (without SFQ-to-DC and DC-to-SFQ converters) has 5948 Josephson junctions occupying the area of 3.5 mm2. The multiplier is designed with the target operation frequency of 20 GHz and has the latency of 447 ps at the bias voltage of 2.5 mV. Despite some challenges due to fabrication process parameter variations and flux trapping, the multiplier chip was fabricated and successfully tested for the vast majority of test vectors by the Stony Brook designers with the assistance of colleagues from Yokohama National University in February 2012. While multiplier test operations were generated at low frequency, each of these operations was executed at the “hardwired” rate of 80 GHz. The fabricated chip operated with the measured DC bias margins of ±5%.

IEEE Transactions on Applied Superconductivity•Nov 21, 2012•22 citations

RSFQ arithmetic blocks for DSP applications

Stanislav V. Polonsky, J.C. Lin, Alexander V. Rylyakov

We have designed a Rapid Single-Flux-Quantum (RSFQ) bit-serial real-time pipeline multiplier for digital signal processing (DSP) applications. A single-bit module of this multiplier consists of 96 Josephson junctions and uses a B-flip-flop-based carry-save adder (CSA). For HYPRES' standard 1-kA/cm/sup 2/ Nb process with 3.5 /spl mu/m-diameter Josephson junctions the module occupies all area of 350/spl times/600 /spl mu/m/sup 2/. Simulations show that the circuit should dissipate 28 /spl mu/W of power at 2.6 mV dc supply voltage and operate at frequencies of up to 25 GHz. We have successfully tested all cells of the module and verified correct operation of a simplified version of the module at low frequencies. According to numerical simulations, the speed of the multiplier is limited by the CSA. In order to overcome this bottleneck we have developed a concept of a fast carry-save pipeline adder based on XOR gates which uses an RSFQ-specific algorithm for carry bit calculation.>

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We have developed a novel, so-called "push-forward" design approach in Rapid Single-Flux-Quantum (RSFQ) logic. This approach leads to a more efficient circuit design at the gate level using fewer Josephson junctions combined with reasonable circuit parameter margins. Other advantages include higher operational speed and smaller power dissipation. This novel method is based on a specific type of interaction (pushing forward) between single flux quanta already stored by RSFQ gates and newly arriving data SFQ pulses. It implies a reuse of an internal gate memory as well as realization of multi-quantum storage. Using this push-forward design approach, we have designed, optimized, fabricated, and successfully tested two versions of Carry-Save Serial Adders for digital signal processing applications.>

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Superconductor Digital Signal Processor

Irina Kataeva

Superconductor digital technology based on Rapid Single Flux Quantum logic (RSFQ) offers more than 50 times gain in speed and more than 100 reduction in power consumption over mainstream CMOS devices. However, the necessity of cooling down to 4 K and modest degree of integration density currently available mean that employing RSFQ is reasonable only for the tasks that are impossible or ineffective to implement in CMOS technology. One of the promising applications of the RSFQ technology is Digital Signal Processing (DSP) for telecommunications. Interference cancellation is a bottleneck for all existing systems in terms of the performance gain that is theoretically possible and technically realizable using conventional technology. The crucial factor is computational complexity required to handle multiple access interference. The general approach is to compute the interference using available data about propagation channels and then either remove it from received signal or use to predistort the transmitted signal. Computation of the interference matrix can easily fall into 100 Gops range, furthermore, the most e±cient algorithms are based on successive iterations. This requires not only high overall performance of the DSP but also high actual clock rate.This thesis reports a proposed architecture of an RSFQ Successive Interference Canceller and a design of an RSFQ Digital Signal Processor based on hybrid RSFQ-CMOS memory suitable for a general matrix on matrix multiplication algorithm. The processor consists of an RSFQ Multiply-Accumulate Unit, memory caches and a synchronization block, partitioned into multiple chips, and a large CMOS memory.The complexity of the RSFQ DSP is 10x10 multiplication, rounding to 14 bits, 18 bits accumulator length and 3.7 Kb memory cache. In order to implement the RSFQ DSP, we have developed approach to simulate and describe the RSFQ circuits using VHDL. The maximum simulated clock frequency is equal to 24 GHz for Hypres 4.5 kA/cm2 process and optimum communication bandwidth with CMOS memory is 2 Gbps.Components of the processor such as 4x4 two's complement and 5x5 parallel multipliers, 4x5, 20x5 and 4x15 parallel shift registers, a 5-bit serial adder have been designed and experimentally tested. The simplified version of the RSFQ DSP consisting of a 4x4 MAC with rounding to 5 bits and 17x6 memory caches has been designed for Hypres 4.5 kA/cm2 process and fabricated.

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Design of superconductor digital circuits for a 30 GHz DSP and for interface to qubits

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Superconducting digital technology based on Rapid Single Flux Quantum logic (RSFQ) is a digital technology characterized by high speed, low power consumption and low operational temperatures. RSFQ is attractive for many applications and in particular for high frequency Digital Signal Processing (DSP) and for digital control of mK devices like superconducting qubits. Due to the 30 GHz clock speed, RSFQ DSP could be used to implement a Successive Interference Canceller for multi-user detection in a 3G wireless systems. The being developed DSP consists of a digital core, an RSFQ Multiply Accumulate unit (MAC), RSFQ fast cache memory and external semiconductor memory.The first part of this thesis is focusing on architecture and implementation of the hierarchical CMOS-RSFQ hybrid memory for the RSFQ DSP. The architecture ofthe RSFQ cache is optimized in order to reach the highest speed and reliable data communication with CMOS memory. Aspects of block synchronization betweenthe RSFQ cache and the RSFQ digital core are discussed and solved using a new developed RSFQ gate, C3. For design of different components of the DSP, a designapproach based on validated VHDL models is proposed and experimentally verified.The second part of this thesis is focusing on the design oflow-dissipative RSFQ circuits for interface to the superconducting qubits. Power dissipation ofRSFQ circuits is minimized. A low-temperature thermal model of resistively shunted Josephsonjunctions is developed and applied to optimize the shape of the shunt resistors in order to reduce their electron temperature. Depending on the available fabricationprocess the lowest noise temperature of RSFQ circuit can be in the range from 90 mK to 180 mK.

•Jan 1, 2006•0 citations

Adder-accumulator cells in RSFQ logic

S.S. Martinet, DARREN K. BROCK, M. J. Feldman +1 more

We are in the process of designing a Finite Impulse Response (FIR) filter for use in a Digital Signal Processing (DSP) system based entirely on Rapid Single Flux Quantum (RSFQ) logic. One aspect of this project involves the development of the arithmetic unit of the filter, in this case an adder-accumulator multiplier. This article describes two cells can perform the function of accumulated addition in the adder-accumulator multiplier. We have fabricated both cells and tested them at low speed.>

IEEE Transactions on Applied Superconductivity•Jun 1, 1995•5 citations
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.
We will discuss the microarchitecture, design, and testing of the first 8 × 8-bit (by modulo 256) parallel carry-save RSFQ multiplier implemented using the ISTEC 10- kA/cm21.0-μm fabrication technology. Partial products are asynchronously generated and sent to the reduction stage at the internal “hardwired” rate of 80 GHz. 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. The design has mostly regular layout with both local and global connections between modules. The multiplier core (without SFQ-to-DC and DC-to-SFQ converters) has 5948 Josephson junctions occupying the area of 3.5 mm2. The multiplier is designed with the target operation frequency of 20 GHz and has the latency of 447 ps at the bias voltage of 2.5 mV. Despite some challenges due to fabrication process parameter variations and flux trapping, the multiplier chip was fabricated and successfully tested for the vast majority of test vectors by the Stony Brook designers with the assistance of colleagues from Yokohama National University in February 2012. While multiplier test operations were generated at low frequency, each of these operations was executed at the “hardwired” rate of 80 GHz. The fabricated chip operated with the measured DC bias margins of ±5%.
We have designed a Rapid Single-Flux-Quantum (RSFQ) bit-serial real-time pipeline multiplier for digital signal processing (DSP) applications. A single-bit module of this multiplier consists of 96 Josephson junctions and uses a B-flip-flop-based carry-save adder (CSA). For HYPRES' standard 1-kA/cm/sup 2/ Nb process with 3.5 /spl mu/m-diameter Josephson junctions the module occupies all area of 350/spl times/600 /spl mu/m/sup 2/. Simulations show that the circuit should dissipate 28 /spl mu/W of power at 2.6 mV dc supply voltage and operate at frequencies of up to 25 GHz. We have successfully tested all cells of the module and verified correct operation of a simplified version of the module at low frequencies. According to numerical simulations, the speed of the multiplier is limited by the CSA. In order to overcome this bottleneck we have developed a concept of a fast carry-save pipeline adder based on XOR gates which uses an RSFQ-specific algorithm for carry bit calculation.>
We have developed a novel, so-called "push-forward" design approach in Rapid Single-Flux-Quantum (RSFQ) logic. This approach leads to a more efficient circuit design at the gate level using fewer Josephson junctions combined with reasonable circuit parameter margins. Other advantages include higher operational speed and smaller power dissipation. This novel method is based on a specific type of interaction (pushing forward) between single flux quanta already stored by RSFQ gates and newly arriving data SFQ pulses. It implies a reuse of an internal gate memory as well as realization of multi-quantum storage. Using this push-forward design approach, we have designed, optimized, fabricated, and successfully tested two versions of Carry-Save Serial Adders for digital signal processing applications.>
Superconductor digital technology based on Rapid Single Flux Quantum logic (RSFQ) offers more than 50 times gain in speed and more than 100 reduction in power consumption over mainstream CMOS devices. However, the necessity of cooling down to 4 K and modest degree of integration density currently available mean that employing RSFQ is reasonable only for the tasks that are impossible or ineffective to implement in CMOS technology. One of the promising applications of the RSFQ technology is Digital Signal Processing (DSP) for telecommunications. Interference cancellation is a bottleneck for all existing systems in terms of the performance gain that is theoretically possible and technically realizable using conventional technology. The crucial factor is computational complexity required to handle multiple access interference. The general approach is to compute the interference using available data about propagation channels and then either remove it from received signal or use to predistort the transmitted signal. Computation of the interference matrix can easily fall into 100 Gops range, furthermore, the most e±cient algorithms are based on successive iterations. This requires not only high overall performance of the DSP but also high actual clock rate.This thesis reports a proposed architecture of an RSFQ Successive Interference Canceller and a design of an RSFQ Digital Signal Processor based on hybrid RSFQ-CMOS memory suitable for a general matrix on matrix multiplication algorithm. The processor consists of an RSFQ Multiply-Accumulate Unit, memory caches and a synchronization block, partitioned into multiple chips, and a large CMOS memory.The complexity of the RSFQ DSP is 10x10 multiplication, rounding to 14 bits, 18 bits accumulator length and 3.7 Kb memory cache. In order to implement the RSFQ DSP, we have developed approach to simulate and describe the RSFQ circuits using VHDL. The maximum simulated clock frequency is equal to 24 GHz for Hypres 4.5 kA/cm2 process and optimum communication bandwidth with CMOS memory is 2 Gbps.Components of the processor such as 4x4 two's complement and 5x5 parallel multipliers, 4x5, 20x5 and 4x15 parallel shift registers, a 5-bit serial adder have been designed and experimentally tested. The simplified version of the RSFQ DSP consisting of a 4x4 MAC with rounding to 5 bits and 17x6 memory caches has been designed for Hypres 4.5 kA/cm2 process and fabricated.
Superconducting digital technology based on Rapid Single Flux Quantum logic (RSFQ) is a digital technology characterized by high speed, low power consumption and low operational temperatures. RSFQ is attractive for many applications and in particular for high frequency Digital Signal Processing (DSP) and for digital control of mK devices like superconducting qubits. Due to the 30 GHz clock speed, RSFQ DSP could be used to implement a Successive Interference Canceller for multi-user detection in a 3G wireless systems. The being developed DSP consists of a digital core, an RSFQ Multiply Accumulate unit (MAC), RSFQ fast cache memory and external semiconductor memory.The first part of this thesis is focusing on architecture and implementation of the hierarchical CMOS-RSFQ hybrid memory for the RSFQ DSP. The architecture ofthe RSFQ cache is optimized in order to reach the highest speed and reliable data communication with CMOS memory. Aspects of block synchronization betweenthe RSFQ cache and the RSFQ digital core are discussed and solved using a new developed RSFQ gate, C3. For design of different components of the DSP, a designapproach based on validated VHDL models is proposed and experimentally verified.The second part of this thesis is focusing on the design oflow-dissipative RSFQ circuits for interface to the superconducting qubits. Power dissipation ofRSFQ circuits is minimized. A low-temperature thermal model of resistively shunted Josephsonjunctions is developed and applied to optimize the shape of the shunt resistors in order to reduce their electron temperature. Depending on the available fabricationprocess the lowest noise temperature of RSFQ circuit can be in the range from 90 mK to 180 mK.
We are in the process of designing a Finite Impulse Response (FIR) filter for use in a Digital Signal Processing (DSP) system based entirely on Rapid Single Flux Quantum (RSFQ) logic. One aspect of this project involves the development of the arithmetic unit of the filter, in this case an adder-accumulator multiplier. This article describes two cells can perform the function of accumulated addition in the adder-accumulator multiplier. We have fabricated both cells and tested them at low speed.>