Cardinal_example - Cardinal series reconstruction of the...

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Unformatted text preview: Cardinal series reconstruction of the signal J. M. Cimbala, February 2006 constants: 3.14 25 Hz 0.04 s 0 s 1 0.04 0.79 2 0.08-0.93 3 0.12 0.75 4 0.16-0.64 5 0.2 0.19 6 0.24 0.66 7 0.28-1.13 8 0.32 0.85 9 0.36-0.42 n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 10 0.4 0.12 0.04 0.08 0.12 0.16 0.2 0.24 0.28 0.32 0.36 0.4 0.44 0.48 0.52 0.56 0.6 11 0.44 0.43 0.79-0.93 0.75-0.64 0.19 0.66-1.13 0.85-0.42 0.12 0.43-1.09 1.09-0.43-0.12 12 0.48-1.09 13 0.52 1.09 14 0.56-0.43 15 0.6-0.12 Terms to be summed to create the Cardinal series: 0.28 0.16 0.09 0.05 0.03 0.02-0.01-0.02-0.01 0.01 0.01 0.01 0.54 0.33 0.18 0.1 0.05 0.03 0.01-0.02-0.03-0.02-0.01 0.01 0.02 0.02 0.01 0.01 0.77 0.5 0.29 0.14 0.07 0.04 0.01-0.03-0.04-0.03-0.01 0.01 0.02 0.02 0.01 0.02 0.96 0.66 0.4 0.18 0.09 0.05 0.01-0.04-0.05-0.03-0.01 0.01 0.03 0.03 0.01 0.02 1.09 0.79 0.5 0.2 0.1 0.06 0.01-0.04-0.06-0.04-0.02 0.01 0.03 0.03 0.01 0.02 1.16 0.89 0.6 0.2 0.1 0.06 0.01-0.04-0.05-0.03-0.02 0.01 0.03 0.03 0.01 0.03 1.16 0.94 0.68 0.18 0.08 0.05 0.01-0.03-0.05-0.03-0.01 0.01 0.02 0.02 0.01 0.03 1.09 0.95 0.74 0.14 0.06 0.04 0.01-0.02-0.03-0.02-0.01 0.01 0.02 0.02 0.01 0.04 0.97 0.89 0.77 0.08 0.04 0.02-0.01-0.02-0.01-0.01 0.01 0.01 0.04 0.79 #DIV/0! #DIV/0! 0.04 0.57 0.63 0.77-0.1-0.04-0.02 0.01 0.02 0.01 0.01-0.01-0.01 0.05 0.32 0.44 0.74-0.22-0.08-0.04-0.01 0.03 0.04 0.02 0.01-0.01-0.02-0.02-0.01 0.05 0.06 0.22 0.68-0.34-0.11-0.06-0.01 0.04 0.05 0.03 0.01-0.01-0.03-0.02-0.01 0.06-0.2-0.02 0.6-0.47-0.14-0.07-0.02 0.04 0.06 0.04 0.02-0.01-0.03-0.03-0.01 0.06-0.43-0.26 0.5-0.59-0.16-0.08-0.02 0.05 0.07 0.04 0.02-0.01-0.03-0.03-0.01 0.06-0.64-0.48 0.4-0.7-0.16-0.08-0.02 0.05 0.06 0.04 0.02-0.01-0.03-0.03-0.01 0.07-0.8-0.66 0.29-0.79-0.15-0.07-0.01 0.04 0.06 0.03 0.01-0.01-0.03-0.02-0.01 0.07-0.9-0.81 0.18-0.87-0.12-0.05-0.01 0.03 0.04 0.03 0.01-0.01-0.02-0.02-0.01 0.08-0.94-0.9 0.09-0.91-0.07-0.03-0.01 0.02 0.02 0.01 0.01-0.01-0.01 0.08-0.93 #DIV/0! #DIV/0! 0.08-0.85-0.89-0.07-0.91 0.08 0.03 0.01-0.02-0.02-0.01-0.01 0.01 0.01 0.09-0.72-0.8-0.12-0.87 0.18 0.07 0.01-0.03-0.04-0.03-0.01 0.01 0.02 0.02 0.01 0.09-0.55-0.65-0.16-0.79 0.28 0.1 0.02-0.05-0.06-0.04-0.02 0.01 0.03 0.03 0.01 0.1-0.34-0.46-0.17-0.7 0.38 0.12 0.02-0.06-0.07-0.05-0.02 0.02 0.03 0.03 0.01 0.1-0.12-0.24-0.17-0.59 0.48 0.14 0.02-0.06-0.08-0.05-0.02 0.02 0.04 0.03 0.01 0.1 0.11-0.15-0.47 0.57 0.14 0.02-0.06-0.08-0.05-0.02 0.02 0.04 0.03 0.01 0.11 0.32 0.23-0.12-0.34 0.65 0.13 0.02-0.05-0.07-0.04-0.02 0.01 0.03 0.03 0.01 0.11 0.51 0.44-0.08-0.22 0.71 0.1 0.02-0.04-0.05-0.03-0.01 0.01 0.02 0.02 0.01 0.12 0.66 0.62-0.04-0.1 0.74 0.06 0.01-0.02-0.03-0.02-0.01 0.01 0.01 0.01 0.12 0.75 #DIV/0! #DIV/0! 0.12 0.8 0.83 0.04 0.08 0.74-0.07-0.01 0.02 0.03 0.02 0.01-0.01-0.01-0.01 f ( t )=sin(2 π *10 t ) + 0.2*sin(2 π *6 t ) π = f s = Discrete ∆ t = Analog ∆ t = data point n time, t (s) discrete f d ( t ) time, t discrete f d ( t ) time, t (s) analog f ( t ) Cardinal f ( t ) 0.1 0.2 0.3 0.4 0.5 0.6-1.5-1-0.5 0.5 1 1.5 Column D Column E Column F...
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This note was uploaded on 07/23/2008 for the course ME 345 taught by Professor Staff during the Spring '08 term at Pennsylvania State University, University Park.

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Cardinal_example - Cardinal series reconstruction of the...

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