This Topic considers the question of how to measure how big a signal is!
This has applications from the simplest speech detection or voice
activity detector, through to measuring the size of a residual error
signal. The Topic motivates the concept of a signal norm by looking at
measuring the size of other objects (expressions for volume), through to
measuring the energy or power in physical components (through P=V^2 /
R). This leads to the L2-norm or energy and power of a signal. These
concepts will be formalised in the following topic, but this video first
considers alternatives such as taking the sum of the magnitude of the
signal (the L1-norm), and the benefits of these different measures.
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.