Design and Optimization of Full Comparator Based on Quantum‐Dot Cellular Automata

Quantum‐dot cellular automata (QCA) is one of the few alternative computing platforms that has the potential to be a promising technology because of higher speed, smaller size, and lower power consumption in comparison with CMOS technology. This letter proposes an optimized full comparator for implementation in QCA. The proposed design is compared with previous works in terms of complexity, area, and delay. In comparison with the best previous full comparator, our design has 64% and 85% improvement in cell count and area, respectively. Also, it is implemented with only one clock cycle. The obtained results show that our full comparator is more efficient in terms of cell count, complexity, area, and delay compared to the previous designs. Therefore, this structure can be simply used in designing QCA‐based circuits.     

Design of testable reversible latches by using a novel efficient implementation of Fredkin gate

ABSTRACT

Energy dissipation caused by information loss in irreversible computations will be an important limitation for the development of nano-scale circuits in the near future. Reductions in energy dissipation comprise one of the important goals of nanotechnology-based methods, including Quantum dot Cellular Automata (QCA), and so it is desirable to consider reversibility in the design of QCA circuits. In this research, a novel reversible Fredkin gate based on QCA is proposed, which is more efficient and less complex than the conventional Fredkin gate. Conservative reversible logic is parity preserving; hence, any permanent or transient fault can be caused a mismatch between the inputs and the outputs and can be concurrently detected if a reversible circuit is implemented with the conservative Fredkin gate. A single missing/additional cell defect is investigated in the proposed Fredkin gate and fault patterns are presented. To demonstrate the efficiency of the proposed design, some testable reversible sequential elements, such as D-latch, JK-latch, T-latch and SR-latch, are designed by using it. Our proposed concurrent testable designs greatly reduce the occupied area and maximise the circuit density in comparison with previously reported designs. The proposed designs are simulated and verified using QCA Designer ver.2.0.3 and HDLQ.     

Single-Bit Comparator in Quantum-Dot Cellular Automata (QCA) Technology Using Novel QCA-XNOR Gates

To fill the continuous needs for faster processing elements with less power consumption causes large pressure on the complementary metal oxide semiconductor (CMOS) technology developers. The scaling scenario is not an option nowadays and other technologies need to be investigated. The quantum-dot cellular automata (QCA) technology is one of the important emerging nanotechnologies that have attracted much researchers’ attention in recent years. This technology has many interesting features, such as high speed, low power consumption, and small size. These features make it an appropriate alternative to the CMOS technique. This paper suggests three novel structures of XNOR gates in the QCA technology. The presented structures do not follow the conventional approaches to the logic gates design but depend on the inherent capabilities of the new technology. The proposed structures are used as the main building blocks for a single-bit comparator. The resulted circuits are simulated for the verification purpose and then compared with existing counterparts in the literature. The comparison results are encouraging to append the proposed structures to the library of QCA gates.     

Design metal-dot based QCA circuits using SPICE model

This paper proposes a SPICE model development methodology for quantum-dot cellular automata (QCA) cells and presents a SPICE model for QCA cells. The model is validated by simulating the basic logic gates such as inverter and majority voter. The proposed model makes it possible to design and simulate QCA combinational circuits and hybrid circuits of QCA and other NANO devices using SPICE. In the second half part of the paper, SET and QCA co-design methodology is proposed and SET is used as a readout interface of the QCA cell array. The SET and QCA hybrid circuit is a promising nano-scale solution.     

An efficient design of CORDIC in Quantum-dot cellular automata technology

Power dissipation of future-integrated systems, consisting of a numberless of devices, is a challenge that cannot be easily solved by classical technologies. Quantum-dot Cellular Automata (QCA) is a Field-Coupled Nanotechnology (FCN) and a potential alternative to traditional CMOS technologies. It offers various features like extremely low-power dissipation, very high operating frequency and nanoscale feature size. This study presents a novel design of CORDIC circuit based on QCA technology. The proposed circuit is based on several proposed QCA sub-modules as adder and Flip-Flop. To design and verify the proposed architecture, QCADesigner tool is employed and power consumption is estimated using QCAPro software. The proposed QCA CORDIC achieves about 69% reduction in power and area compared to previous existing designs. The outcome of this work can open up a new window of opportunity for the design of the CORDIC module and can be used in low-power signal and image processing systems.     

Adder design using 5-input majority gate in a novel “Multilayer Gate Design Paradigm” for Quantum Dot Cellular Automata Circuits

This paper proposes a novel design paradigm for circuits designed in quantum dot cellular automata (QCA) technology. Previously reported QCA circuits in the literature have generally been designed in a single layer which is the main logical block in which the inverter and majority gate are on the base layer, except for the parts where multilayer wire crossing was used. In this paper the concept of multilayer wire crossing has been extended to design logic gates in multilayers. Using a 5-input majority gate in a multilayer, a 1-bit and 2-bit adder have been designed in the proposed multilayer gate design paradigm. A comparison has been made with some adders reported previously in the literature and it has been shown that circuits designed in the proposed design paradigm are much more efficient in terms of area, the requirement of QCA cells in the design and the input-output delay of the circuit. Over all, the availability of one additional spatial dimension makes the design process much more flexible and there is scope for the customizability of logic gate designs to make the circuit compact.     

Modular Design of testable reversible ALU by QCA multiplexer with increase in programmability

The quantum-dot cellular automata have emerged as one of the potential computational fabrics for the emerging nanocomputing systems due to their ultra-high speed and integration density. On the other hand, reversible computing promises low power consuming circuits by nullifying the energy dissipation during the computation. This work targets the design of a reversible arithmetic logic unit (RALU) in the quantum-dot cellular automata (QCA) framework. The design is based on the reversible multiplexer (RM) synthesized by compact 2:1 QCA multiplexers introduced in this paper. The proposed reversible multiplexer is able to achieve 100% fault tolerance in the presence of single missing or additional cell defects in QCA layout. Furthermore, the advantage of modular design of reversible multiplexer is shown by its application in synthesizing the RALU with separate reversible arithmetic unit (RAU) and reversible logic unit (RLU). The RALU circuit can be tested for classical unidirectional stuck-at faults using the constant variable used in this design. The experimentation establishes that the proposed RALU outperforms the conventional reversible ALU in terms of programming flexibility and testability.     

New modified-majority voter-based efficient QCA digital logic design

ABSTRACT

Quantum-dot cellular automata (QCA) is an emerging nanotechnology and a possible alternative solution to the limitation of complementary metal oxide semiconductor (CMOS) technology. One of the most attractive fields in QCA is the implementation of configurable digital systems. This article presents a novel multifunctional gate called the modified-majority voter (MMV). The proposed gate works on the explicit interaction of the cell characteristic property for the implementation of digital circuits. This prominent feature of the proposed gate reduces the maximum hardware cost and implements highly efficient QCA structures. To verify the functionality of the proposed gate, some physical proofs, truth table and computational simulation results are performed. These results assured the validity of the existence of the proposed gate. It also dissipates less energy which has been calculated under three separate tunnelling energy levels using the QCAPro tool. To prove the effectiveness of the proposed MMV gate, several optimal irreversible arithmetic circuits such as three-input XOR, half-adder and full-adder are proposed. The modular layouts are verified with the freely available QCADesigner tool version 2.0.3.     

A new design of QCA‐based nanoscale multiplexer and its usage in communications

Quantum‐dot cellular automata (QCA) is one of the proposed nanotechnologies in the electronics industry, which offers a new construction for scheming digital circuits with less energy consumption on the nanoscale and possibly can be an appropriate replacement of complementary metal‐oxide semiconductor (CMOS) technology. Nanocommunication in QCA has attracted a wide range of researcher's attention. However, there is still a broad scope to design QCA‐based architecture for nanocommunication. The multiplexer is hugely used in the telecommunication system and transmits multiple data at the same time. Therefore, in this paper, a useful structure to implement a 2 to 1 multiplexer based on the novel XOR gate is presented and is used as a module to implement the 4 to 1 and 8 to 1 multiplexers. Simulations using QCADesigner tool are done to check the performance of the suggested designs. The 2 to 1, 4 to 1, and 8 to 1 QCA multiplexer structures utilize 22, 92, and 260 cells and consume 0.03, 0.12, and 0.40 μm² of area, respectively. They have shown that the suggested designs have stable and applicable structures regarding area, cost, and complexity.     

A new quantum-dot cellular automata full-adder

A novel expandable five-input majority gate for quantum-dot cellular automata and a new full-adder cell are presented. Quantum-dot cellular automata (QCA) is an emerging technology and a possible alternative for semiconductor transistor based technologies. A novel QCA majority-logic gate is proposed. This component is suitable for designing QCA circuits. The gate is simple in structure and powerful in terms of implementing digital functions. By applying these kinds of gates, the hardware requirement for a QCA design can be reduced and circuits can be simpler in level, gate counts and clock phases. In order to verify the functionality of the proposed device, some physical proofs are provided. The proper functionality of the FA is checked by means of computer simulations using QCADesigner tool. Both simulation results and physical relations confirm our claims and its usefulness in designing every digital circuit.     

Design of reliable universal QCA logic in the presence of cell deposition defect

The emergence of Quantum-dot Cellular Automata (QCA) has resulted in being identified as a promising alternative to the currently prevailing techniques of very large scale integration. QCA can provide low-power nanocircuit with high device density. Keeping aside the profound acceptance of QCA, the challenge that it is facing can be quoted as susceptibility to high error rate. The work produced in this article aims towards the design of a reliable universal logic gate (r-ULG) in QCA (r-ULG along with the single clock zone and r-ULG-II along with multiple clock zones). The design would include hybrid orientation of cells that would realise majority and minority, functions and high fault tolerance simultaneously. The characterisation of the defective behaviour of r-ULGs under different kinds of cell deposition defects is investigated. The outcomes of the investigation provide an indication that the proposed r-ULG provides a fault tolerance of 75% under single clock zone and a fault tolerance of 100% under dual clock zones. The high functional aspects of r-ULGs in the implementation of different logic functions successfully under cell deposition defects are affirmed by the experimental results. The high-level logic around the multiplexer is synthesised, which helps to extend the design capability to the higher-level circuit synthesis.     

Scalability of Globally Asynchronous QCA (Quantum-Dot Cellular Automata) Adder Design

The concept of clocking for QCA, referred to as the four-phase clocking, is widely used. However, inherited characteristics of QCA, such as the way to hold state, the way to synchronize data flows, and the way to power QCA cells, make the design of QCA circuits quite different from VLSI and introduce a variety of new design challenges. The most severe challenges are due to the fact that the overall timing of a QCA circuit is mainly dependent upon its layout. This issue is commonly referred to as the “layout = timing” problem. To circumvent the problem, a novel self-timed circuit design technique referred to as the Locally Synchronous, globally asynchronous design for QCA has been recently proposed. The proposed technique can significantly reduce the layout–timing dependency from the global network of QCA devices in a circuit; therefore, considerably flexible QCA circuit design is be possible. Also, the proposed technique is more scalable in designing large-scale systems. Since a less number of cells is used, the overall area is smaller and the manufacturability is better. In this paper, numerous multi-bit adder designs are considered to demonstrate the layout efficiency and robustness of the proposed globally asynchronous QCA design technique.     

基于量子细胞自动机的数值比较器设计

量子细胞自动机(QCA)可以构建逻辑门和QCA线。该文基于QCA设计了1位,4位和8位数值比较器,并用QCADesigner软件进行模拟。结果表明,所设计的电路具有正确的逻辑功能。通过对电路所需细胞数、面积和时延三方面性能分析,表明所设计的电路时延并不随输入位数呈线性增加,因而所设计的电路具有良好的时延性。     

Design of high speed and low power 4-bit comparator using FGMOS

This paper presents a novel low power and high speed 4-bit comparator extendable to 64-bits using floating-gate MOSFET (FGMOS). Here, we have exploited the unique feature of FGMOS wherein the effective voltage at its floating-gate is the weighted sum of many input voltages which are capacitively coupled to the floating-gate. The performance of proposed 4-bit comparator circuit has been compared with other comparator circuits designed using CMOS, transmission gate (TG), pass transistor logic (PTL) and gate diffusion input (GDI) technique. The proposed FGMOS based 4-bit comparator have shown remarkable performance in terms of transistor count, speed, power dissipation and power delay product besides full swing at the output in comparison to the existing comparator designs available in literature. Thus the proposed circuit can be viable option for high speed and low power applications. The performance of the proposed FGMOS based 4-bit comparator has been verified through OrCAD PSpice simulations through circuit file/schematics using level 7 parameters obtained from TSMC in 0.13 μm technology with the supply voltage of 1 V.     

An enhanced high-speed multi-digit BCD adder using quantum-dot cellular automata

The advent of development of high-performance, low-power digital circuits is achieved by a suitable emerging nanodevice called quantum-dot cellular automata(QCA). Even though many efficient arithmetic circuits were designed using QCA, there is still a challenge to implement high-speed circuits in an optimized manner. Among these circuits, one of the essential structures is a parallel multi-digit decimal adder unit with significant speed which is very attractive for future environments. To achieve high speed, a new correction logic formulation method is proposed for single and multi-digit BCD adder. The proposed enhanced single-digit BCD adder(ESDBA) is 26% faster than the carry flow adder(CFA)-based BCD adder. The multi-digit operations are also performed using the proposed ESDBA, which is cascaded innovatively. The enhanced multi-digit BCD adder(EMDBA) performs two 4-digit and two 8-digit BCD addition 50% faster than the CFA-based BCD adder with the nominal overhead of the area. The EMDBA performs two 4-digit BCD addition 24% faster with 23% decrease in the area, similarly for 8-digit operation the EMDBA achieves 36% increase in speed with 21% less area compared to the existing carry look ahead(CLA)-based BCD adder design. The proposed multi-digit adder produces significantly less delay of(N-1)+3.5 clock cycles compared to the N*One digit BCD adder delay required by the conventional BCD adder method. It is observed that as per our knowledge this is the first innovative proposal for multi-digit BCD addition using QCA.     

Efficient design of parity preserving logic in quantum-dot cellular automata targeting enhanced scalability in testing

Design of parity preserving logic based on emerging nanotechnology is very limited due to present technological limitation in tackling its high error rate. In this work, Quantum-dot cellular automata (QCA), a potential alternative to CMOS, is investigated for designing easily testable logic circuit. A novel self-testable logic structure referred to as the testable-QCA (t-QCA), using parity preserving logic, is proposed. Design flexibility of t-QCA then evaluated through synthesis of standard functions. The programmability feature of t-QCA is utilized to implement an ALU, realizing six important functions. Although the parity preservation property of t-QCA enables concurrent detection of permanent as well as the transient faults, an augmented test logic circuit (TC) using QCA primitives has been introduced to cover the cell defects in nanotechnology. Experimental results establish the efficiency of the proposed design that outperforms the existing technologies in terms of design cost and test overhead. The achievement of 100% stuck-at fault coverage and the 100% fault coverage for single missing/additional cell defects in QCA layout of the t-QCA gate, address the reliability issues of QCA nano-circuit design.     

基于QCA的五输入Majority门设计及应用

Majority门作为多数逻辑电路的基本逻辑单元,其性能直接影响整体电路的质量.使用量子元胞自动机（QCA）设计Majority门具有结构简单的优点.本文提出了一种三层电路实现五输入Majority门的设计,并以此设计了全加器,进一步应用于多位加法器和乘法器中,与已发表的电路设计比较表明,其版图使用面积和元胞数有明显的减少,加法器元胞数和面积改进最高可达43%和87.2%,乘法器元胞数和面积改进最高可达48.2%和100%.     

Design of reversible parity generator and checker for the implementation of nano-communication systems in quantum-dot cellular automata

Complementary metal-oxide semiconductor (CMOS) technology may face so much problems in future due to the smaller size of transistors and increase in circuits’ volume and chips temperature. A new technology that can be a good alternative to CMOS circuits is quantum-dot cellular automata (QCA). These technologies have features such as a very low power consumption, high speed and small dimensions. In nano-communication system, error detection and correction in a receiver message are major factors. In addition, circuit reversibility in QCA helps designs a lot. In this research, generator and checker circuit of the reversible parity and eventually their nano-communication system are designed reversible using odd parity bit. The proposed circuits and the theoretical values are tested by QCADesigner 2.0.3 simulator to show the correct operation of the circuits. According to the simulation results, the proposed circuits compared with the previous structure improve delay by 90–75–35% in generator and checker structures of parity and their reversibility of nano-communication system, respectively. The proposed circuits are used in nano-transmitters and nano-receivers.

     

量子点分布误差对镜像电荷自动元胞机的影响

研究了量子点分布的误差对镜像电荷量子元胞自动机(QCA)的影响. 镜像电荷QCA每个元胞中的四个量子点是被严格限制在正方形元胞的四个角上的，考虑到现有的量子点生长技术，量子点偏离理想位置的情况是不可避免的. 模拟了在正态分布误差存在时镜像电荷QCA的工作情况，并估算了在较小的介电常数下镜像电荷QCA可能达到的最高工作温度. 仿真结果表明正态分布标准差sigma小于0.1时，镜像电荷QCA可以正常工作，同时缩小QCA的元胞尺寸可以使镜像电荷QCA的最高工作温度达到室温以上.     

高共模输入电平的迟滞比较器设计

提出了一种新颖的基于双极工艺的迟滞比较器,该电路在保持了传统电路的高共模输入电平和低功耗的优点的同时,在电路结构上比传统的电路节省了一级射随器。此外,为了保证该迟滞比较器中两级运算放大器的稳定性还进行了频率补偿的研究,并对该电路的稳定性进行了仿真,其仿真结果保证了60°的相位裕度。该迟滞比较器的电路使用华润上华1μm双极晶体管工艺实现,芯片测试结果表明,其上阈值点为7.4 V,下阈值点为6.92 V,迟滞电压约为0.48 V,输出高电平约为0.76 V,电路工作稳定。