Notes on the properties of correlation functions in linear system analysis

✍ Scribed by F. Kandianis

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 677 KB
• Volume: 36
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(74)80295-6

✦ Synopsis

The properties of the cross-correlation function of the excitation and response of a linear system are derived. In particular the cross-correlation function is examined when the force applied to the system is one of limited frequency bandwidth since in practice purely impulsive or random forces are not physically realizable.

The theory developed in the present paper is applicable when the force applied to the system is a random stationary one or a transient one; use is made of the correlation techniques developed by the author [I] whereby transient processes may be treated and analysed by a theory similar to that of random stationary processes.