Open AccessMultiple-Input Multiple-Output (MIMO) Linear Systems Extreme Inputs/Outputs
Author(s) -
D.O. Smallwood
Publication year - 2006
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/2007/701837
Subject(s) - trace (psycholinguistics) , coherence (philosophical gambling strategy) , mimo , waveform , mathematics , matrix (chemical analysis) , phase (matter) , control theory (sociology) , computer science , algorithm , mathematical optimization , statistics , physics , telecommunications , beamforming , philosophy , linguistics , radar , materials science , control (management) , quantum mechanics , artificial intelligence , composite material
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 autospectral densities of the inputs are specified, the phase relationships between the inputs are derived that will minimize or maximize the trace of the autospectral 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 autospectral 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
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