Extreme inputs/outputs for multiple input multiple output linear systems.

Smallwood, David Ora

Sandia National Laboratories

关键词: Randomness;    Spectral Data.;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Wave Forms;    Phase Studies;   

DOI  :  10.2172/875611
RP-ID  :  SAND2005-5307
RP-ID  :  AC04-94AL85000
RP-ID  :  875611

美国|英语

来源: UNT Digital Library

【 摘 要 】

A linear structure is excited at multiple points with a stationary normal random process. The response of the structure is measured at multiple outputs. If the auto spectral densities of the inputs are specified, the phase relationships between the inputs are derived that will minimize or maximize the trace of the auto spectral density matrix of the outputs. If the autospectral densities of the outputs are specified, the phase relationships between the outputs that will minimize or maximize the trace of the input auto spectral density matrix are derived. It is shown that other phase relationships and ordinary coherence less than one will result in a trace intermediate between these extremes. Least favorable response and some classes of critical response are special cases of the development. It is shown that the derivation for stationary random waveforms can also be applied to nonstationary random, transients, and deterministic waveforms.