Any signal can be parsed into simpler component signals

Evidence

There can be only one pressure at a given place and time. If a plot is made of a signal f(t) versus time, a vertical line placed at any time must intersect the plot only once. As long as they obey this rule, signals can take any shape or form; the variety is infinite. One of the jobs of signal analysis is to decompose, or parse, signals into understandable components. Those components will themselves be simpler signals. β€” Eric J. Heller, Why You Hear What You Hear- An…, 250

Categorization

  • DEFINE: Explains the single-valued constraint on signals and frames decomposition as the core task of signal analysis.