Unified Filtered Operator Analysis of Experimental Switching Transients: Validation with Janda et al. (2023) Spark Discharge Dataset

We apply the unified filtered operator to experimental spark discharge data collected by Janda et al. (2023), featuring oscilloscope voltage measurements during electrical switching events. By comparing classical derivative analysis with the unified operator, we demonstrate that the proposed method selectively isolates physically significant transients—such as sparks and voltage jumps—while suppressing noise and steady-state artifacts. This work illustrates the unified operator's ability to provide clear, event-based signal detection in highly dynamic systems.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this worklDisclaimer on Reference Accuracy:<br>The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work. Due to the nature of generative language models, some reference years or citation details may be imprecise or outdated. All critical sources have been verified manually; however, readers are advised to cross-check dates if exact historical accuracy is required.