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We present and experimentally validate two minimal compact memristive models for spiking neuronal signal generation using commercially available low-cost components. The first neuron model is called the Memristive Integrate-and-Fire (MIF) model, for neuronal signaling with two voltage levels: the spike-peak, and the rest-potential. The second model MIF2 is also presented, which promotes local adaptation by accounting for a third refractory voltage level during hyperpolarization. We show both compact models are minimal in terms of the number of circuit elements and integration area. Using the MIF and MIF2 models, we postulate the design of a memristive solid-state brain with an estimation of its surface area and power consumption. Analytical projections show that a memristive solid-state brain could be realized within (i) the surface area of the median human brain, 2,400cm2, (ii) the same volume of the median human brain, and (iii) a total power budget of approximately 20 W using a 3.5 nm technology. Distinct from the past decade of memristive neuron literature, our benchmarks are attained using generic commercially available memristors that are reproducible using off-the-shelf components. We expect this work can promote more experimental demonstrations of memristive circuits that do not rely on prohibitively expensive fabrication processes. [ABSTRACT FROM AUTHOR]

This paper presents the first experimental demonstration of a ternary memristor-CMOS logic family. We systematically design, simulate and experimentally verify the primitive logic functions: the ternary AND, OR and NOT gates. These are then used to build combinational ternary NAND, NOR, XOR and XNOR gates, as well as data handling ternary MAX and MIN gates. Our simulations are performed using a 50-nm process which are verified with in-house fabricated indium-tin-oxide memristors, optimized for fast switching, high transconductance, and low current leakage. We obtain close to an order of magnitude improvement in data density over conventional CMOS logic, and a reduction of switching speed by a factor of 13 over prior state-of-the-art ternary memristor results. We anticipate extensions of this work can realize practical implementation where high data density is of critical importance. [ABSTRACT FROM AUTHOR]

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. Our approach to logic synthesis demonstrates a potential way forward for simulating large-scale memristor-CMOS circuits without embedded RRAM for functional verification, and our SPICE results show an improvement in data density of a variety of decoders by a factor between 3.6-8.5. While the switching speed of memristors are one of several bottlenecks to using them in combinational logic, the comparatively slow refresh rates of typical microdisplays indicate this to be a tolerable trade-off, which promotes data density over speed. [ABSTRACT FROM AUTHOR]

This paper presents a series of multi-stage hybrid memristor-CMOS ternary combinational logic stages that are optimized for reducing silicon area occupation. Prior demonstrations of memristive logic are typically constrained to single-stage logic due to the variety of challenges that affect device performance. Noise accumulation across subsequent stages can be amortized by integrating ternary logic gates, thus enabling higher density data transmission, where more complex computation can take place within a smaller number of stages when compared to single-bit computation. We present the design of a ternary half adder, a ternary full adder, a ternary multiplier, and a ternary magnitude comparator. These designs are simulated in SPICE using the broadly accessible Knowm memristor model, and we perform experimental validation of individual stages using an in-house fabricated Si-doped HfOx memristor which exhibits low cycle-to-cycle variation, and thus contributes to robust long-term performance. We ultimately show an improvement in data density in each logic block of between $5.2\times - 17.3\times $ , which also accounts for intermediate voltage buffering to alleviate the memristive loading problem. [ABSTRACT FROM AUTHOR]

The rapid expansion of analog and neuromorphic memristive applications has proven that their reconfigurable and reprogrammable characteristics will be major proponents for pushing beyond Moore’s Law. The lack of easily accessible and reliable solid-state memory elements (mem-elements) results in an ever-increasing body of the research lacking physical verification, and an associated high barrier to entry for researchers. This paper serves to fix this deficiency by introducing a novel universal interface circuit, which when connected to different peripheral circuits, can be used to build fundamental mem-elements. There is an abundance of mem-element emulators, we adopt their advantages into our design to foster practical and broadly applicable mem-element circuits. In comparison to other similar state-of-the-art emulators, our circuit utilized up to 42.9% fewer active components which consumed up to 31.9% less power with an associated reduction of size by 41.7%. Our proposed emulator continues to operate with hysteresis at over 180 kHz, which is two orders of magnitude higher than other similar emulators and commercially available solid-state memristors, whilst maintaining floating terminal connections. Rigorous theoretical, simulation and experimental results are conducted with good agreement with applications given, demonstrating the ability of the universal interface to discretely build mem-elements. [ABSTRACT FROM AUTHOR]