FPGA Synthesis of Ternary Memristor-CMOS Decoders for Active Matrix Microdisplays

The search for a compatible application of memristor-CMOS logic gates has remained elusive, as the data density benefits are offset by slow switching speeds and resistive dissipation. Active microdisplays typically prioritize pixel density (and therefore resolution) over that of speed, where the most widely used refresh rates fall between 25–240 Hz. Therefore, memristor-CMOS logic is a promising fit for peripheral I/O logic in active matrix displays. In this paper, we design and implement a ternary 1-3 line decoder and a ternary 2-9 line decoder which are used to program a seven segment LED display. SPICE simulations are conducted in a 50-nm process, and the decoders are synthesized on an Altera Cyclone IV field-programmable gate array (FPGA) development board which implements a ternary memristor model designed in Quartus II. We compare our hardware results to a binarycoded decimal (BCD)-to-seven segment display decoder, and show our memristor-CMOS approach reduces the total I/O power consumption by a factor of approximately 6 times at a maximum synthesizable frequency of 293.77MHz. Although the speed is approximately half of the native built-in BCD-to-seven decoder, the comparatively slow refresh rates of typical microdisplays indicate this to be a tolerable trade-off, which promotes data density over speed.

[1]  D. Massoubre,et al.  Individually Addressable AlInGaN Micro-LED Arrays With CMOS Control and Subnanosecond Output Pulses , 2009, IEEE Photonics Technology Letters.

[2]  S. Kvatinsky,et al.  MRL — Memristor Ratioed Logic , 2012, 2012 13th International Workshop on Cellular Nanoscale Networks and their Applications.

[3]  Harry Chuang,et al.  Recent Progress and Next Directions for Embedded MRAM Technology , 2019, 2019 Symposium on VLSI Technology.

[4]  Steve Blair,et al.  Multisite microLED optrode array for neural interfacing , 2019, Neurophotonics.

[5]  Marino Menozzi,et al.  CRT versus LCD: Effects of refresh rate, display technology and background luminance in visual performance. , 2001 .

[6]  Kyoungrok Cho,et al.  A Memristor-CMOS Braun Multiplier Array for Arithmetic Pipelining , 2019, 2019 26th IEEE International Conference on Electronics, Circuits and Systems (ICECS).

[7]  Mostafa Rahimi Azghadi,et al.  MemTorch: A Simulation Framework for Deep Memristive Cross-Bar Architectures , 2020, 2020 IEEE International Symposium on Circuits and Systems (ISCAS).

[8]  Bernabe Linares-Barranco,et al.  Hardware Implementation of Deep Network Accelerators Towards Healthcare and Biomedical Applications , 2020, IEEE Transactions on Biomedical Circuits and Systems.

[9]  Sung-Mo Kang,et al.  High-Density Memristor-CMOS Ternary Logic Family , 2020 .

[10]  Xuejun Yang,et al.  Performing Stateful Logic on Memristor Memory , 2013, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  J. Lina,et al.  Development of microLED , 2020 .

[12]  S. Menzel,et al.  Experimental Demonstration of Memristor-Aided Logic (MAGIC) Using Valence Change Memory (VCM) , 2020, IEEE Transactions on Electron Devices.

[13]  Soon-Jyh Chang,et al.  A Low Energy Consumption 10-Bit 100kS/s SAR ADC with Timing Control Adaptive Window , 2018, 2018 IEEE International Symposium on Circuits and Systems (ISCAS).

[14]  H X Jiang,et al.  Nitride micro-LEDs and beyond--a decade progress review. , 2013, Optics express.

[15]  Lidan Wang,et al.  MTL: Memristor Ternary Logic Design , 2020, Int. J. Bifurc. Chaos.

[16]  Un-Ku Moon,et al.  A 10-b Ternary SAR ADC With Quantization Time Information Utilization , 2012, IEEE Journal of Solid-State Circuits.

[17]  Harry Chuang,et al.  22nm STT-MRAM for Reflow and Automotive Uses with High Yield, Reliability, and Magnetic Immunity and with Performance and Shielding Options , 2019, 2019 IEEE International Electron Devices Meeting (IEDM).

[18]  Ali Khiat,et al.  Practical Implementation of Memristor-Based Threshold Logic Gates , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Kamran Eshraghian,et al.  Neuromorphic Vision Hybrid RRAM-CMOS Architecture , 2018, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[20]  M. Bagherzadeh,et al.  Microarray technologies , 2021, Biomedical Applications of Microfluidic Devices.

[21]  Tyrone Fernando,et al.  A Novel Universal Interface for Constructing Memory Elements for Circuit Applications , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[22]  Chih-Yang Lin,et al.  Complementary Metal‐Oxide Semiconductor and Memristive Hardware for Neuromorphic Computing , 2020, Adv. Intell. Syst..

[23]  M. Alexander Nugent,et al.  The Generalized Metastable Switch Memristor Model , 2016, ArXiv.

[24]  Gregory S. Snider,et al.  ‘Memristive’ switches enable ‘stateful’ logic operations via material implication , 2010, Nature.

[25]  Zhaojun Liu,et al.  P‐12.10: Study on Flip‐Chip Structure of GaN‐Based Micro‐LED , 2021, SID Symposium Digest of Technical Papers.

[26]  Sung-Mo Kang,et al.  Analog Weights in ReRAM DNN Accelerators , 2019, 2019 IEEE International Conference on Artificial Intelligence Circuits and Systems (AICAS).

[27]  R. Stanley Williams,et al.  A Family of Stateful Memristor Gates for Complete Cascading Logic , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[28]  Wei D. Lu,et al.  Adaptive Synaptic Memory via Lithium Ion Modulation in RRAM Devices. , 2020, Small.

[29]  Joseph S. Friedman,et al.  Overhead Requirements for Stateful Memristor Logic , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Ahmed Soltan,et al.  A head mounted device stimulator for optogenetic retinal prosthesis , 2018, Journal of neural engineering.

[31]  C. Moritz,et al.  A micro-LED implant and technique for optogenetic stimulation of the rat spinal cord , 2020, Experimental Neurology.

[32]  Patrick Ruther,et al.  Compact Optical Neural Probes With Up to 20 Integrated Thin-Film $\mu$LEDs Applied in Acute Optogenetic Studies , 2020, IEEE Transactions on Biomedical Engineering.

[33]  Stephen D. Van Hooser,et al.  Neuronal Firing Rate Homeostasis Is Inhibited by Sleep and Promoted by Wake , 2016, Cell.

[34]  Y. Chih,et al.  A 40nm 2Mb ReRAM Macro with 85% Reduction in FORMING Time and 99% Reduction in Page-Write Time Using Auto-FORMING and Auto-Write Schemes , 2019, 2019 Symposium on VLSI Technology.

[35]  Jintao Yu,et al.  Scouting Logic: A Novel Memristor-Based Logic Design for Resistive Computing , 2017, 2017 IEEE Computer Society Annual Symposium on VLSI (ISVLSI).

[36]  Ahmed Gomaa Radwan,et al.  Memristor-CNTFET based ternary logic gates , 2018, Microelectron. J..

[37]  Patrick Degenaar,et al.  Multi-site optical excitation using ChR2 and micro-LED array , 2010, Journal of neural engineering.

[38]  Uri C. Weiser,et al.  MAGIC—Memristor-Aided Logic , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[39]  Chien-Ju Chen,et al.  Fabrication and Characterization of Active-Matrix $960\times540$ Blue GaN-Based Micro-LED Display , 2019, IEEE Journal of Quantum Electronics.