Spectral-Energy Trade-Offs in Memristor Programming Using Generalized Gaussian Voltage Pulses

This work investigates the spectral and energetic aspects of memristor programming using generalized Gaussian voltage pulses. Unlike conventional square or triangular waveforms, generalized Gaussian pulses enable precise control over both temporal shape and frequency content through a tunable shape parameter. By systematically varying the pulse’s effective width and sharpness, we analyze the resulting current response and its dependence on the memristor’s nonlinear and memory-driven dynamics. SPICE simulations reveal how pulse shaping directly affects the spectral distribution, instantaneous power consumption, total programming energy, and programming time. The results highlight key trade-offs among frequency-domain characteristics, pulse amplitude, and energy efficiency, providing practical design guidelines for energy-aware memristive programming. Controlling the frequency spectrum in memristive circuits is critical to preventing parasitic elements in wires and devices from introducing additional signal distortion, which could compromise the accuracy and reliability of in-memory operations. These findings have potential implications for low-power neuromorphic computing, analog signal modulation, and waveform-optimized memory architectures.