1. SIG-FUN-001 — Signal Processing Foundations, Research Questions, Signal Acquisition and Experimental Design

Description

This Master Prompt establishes the conceptual and methodological foundations of signal processing research, connecting the research problem with signal characteristics, measurement requirements, analytical objectives and intended contributions. It addresses continuous-time and discrete-time signals, deterministic and stochastic behaviour, stationarity, linearity, sampling, aliasing, quantization, sensor selection, calibration and experimental design. Drawing on the supplied studies of physiological measurements, vibration monitoring, pressure pulsations, spectrophotometry, ultrasound sensing and GNSS observations, it examines how acquisition conditions influence subsequent analysis. Particular attention is given to measurement bandwidth, sensor placement, synchronization, reference measurements, independent experimental units and uncertainty. The framework distinguishes measured observations from reconstructed quantities, algorithmic performance from application-level usefulness, and proposed procedures from completed experiments. It supports reproducible research in which the physical phenomenon, recorded signal, analytical decisions and final conclusions remain explicitly connected.