This Topic formally introduces the abstract definitions for energy and
power for measuring the size of a signal. Energy is the measure or
metric for non-periodic signals that decay away in the limit. Several
examples of calculating energy are worked through, including what
happens if you try and calculate energy for signals such as the step
signal. This leads to the reason that power signals are defined, and
this is the measure for signals that do not decay away, or are periodic.
A derivation of the power formula is provided, so that the origin of
the calculation is not a mystery. While energy and power are abstract
concepts in the context of measuring the size of measuring an abstract
signal, they can be converted to real units by considering the
dimensions of the signals involved. Finally, there is a simplified
expression for the power of a signal, and this is derived at the end of
this Topic.
ELEE08021 Sensor Networks and Data Analysis 2 Lectures -- School of Engineering, University of Edinburgh. Copyright James R. Hopgood and University of Edinburgh, Scotland, United Kingdom (UK). 2021.
Institute for Digital Communications, Alexander Graham Bell Building, The King's Buildings, Thomas Bayes Road, Edinburgh, EH9 3JL. UK.