By M. A. Perry
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Extra resources for Aerospace Instrumentation. Proceedings of the Fourth International Aerospace Symposium
The simple answer is to switch off all the machines except one in turn—which is often completely impracticable. Or a A N I N T R O D U C T I O N TO N O I S E , F I L T E R I N G A N D C O R R E L A T I O N 29 careful search for particular spectrum lines in the different machine outputs may be made—again impracticable if all are producing wideband random noise. FIG. 19. Consider, however, what happens if we mount our microphone (^4) so near to one machine, that it picks up only the noise of that machine, another microphone (B) at the control cabin, and cross-correlate the outputs.
20a and b. 30 D. Μ. Α. MERCER Now when these two outputs are cross-correlated, the signal from A will give a high correlation with component (i) from B, at a value of delay corresponding to the acoustic delay. Fig. 20c. The correlation with component (ii) from Β will be virtually zero since these two components are quite incoherent; products are as likely to be positive as negative. After a normalizing operation, the contribu tion of the particular machine can be found. This is a method in which frequency filtering techniques are quite useless.
Then T= 50 — Β and maximum sweep rate is given by: Β ^max > AT, 36 R . L A W S O N A N D A . M. S T O N E Β B^ <7Z,= 200' 4T Therefore Therefore minimum time for analysis: ^Γ = · ^ = ^ χ 2 0 0 . Let the time transformation speed up by a factor y. Then for the same resolution B^ = yB and ^ 1 = J / ^ ^ x 2 0 0 >-[/i-/2]x200 Hence the analysis time is inversely proportional to the speed-up factor y. 3. Random Data Analyser There exist several approaches to processing r a n d o m data. In the opinion of the authors the field of study of r a n d o m processes is one in which the theoretical developments have outstripped the field of engineering interpretation.