1. SYNTHESIS OF OPTIMUM FIRST ORDER FILTERS FOR FLAT SPECTRA COMMAND AND NOISE SIGNALS.
- Author
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Towill, D. R.
- Subjects
NOISE control ,POWER spectra ,HYPOTHESIS ,TRANSFER functions ,NOISE ,SIGNALS & signaling ,STATISTICS - Abstract
Command and noise signals expected to operate on specific control systems are often only scantily known at the design stage. This paper considers some of the problems which may arise in choosing a system transfer function when supplied with such inadequate information. A first order linear filter has been considered, and for synthesis purposes both command and noise signals have been represented by flat power spectra. The total power content and bandwidth of both signals have been varied, and the optimum transfer function for the various combinations determined by using the mean square error criterion.
With the above assumptions, it is shown that under the circumstances most likely to be met in practice, and in the absence of more specific information, a time constant of one-quarter of the inverse of the expected command signal bandwidth will yield reasonable mean square error performance. [ABSTRACT FROM AUTHOR]- Published
- 1964
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