Introduction to matrix techniques [for signal processing]

The digital signal processing algorithms employed in radar and sonar applications invariably involve the manipulation of time series samples taken from a multiplicity of sensor elements. Matrix algebra provides a powerful symbology to represent such samples and to analyze their manipulation in a concise manner. Once candidate algorithms have been expressed in this algebra there are a wealth of techniques and theorems available to assist with the prediction of performance, and thereby optimise the design of the finally implemented signal processing structure. The author reviews the use of matrix algebra to represent sample signals and to analyze digital signal processing algorithms. He also presents some of the key theorems of matrix algebra that find applications in such analysis