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Table contains the cosine frequency components of a Gaussian peak which has a full width at half-height of 1 sec. The unit height equation for such a Gaussian peak is exp[-4(ln 2)t^2] where t is time in sec. For each frequency component f with relative amplitude A calculate A cos 2Π ft for t=0 +/-0.5 +/-1.5 and +/-2.0 sec. Tabulate the values and sum them to get the resulting peak similar to Fig.. Compare the resulting peak to the actual Gaussian as described by the equation.
Table Fourier components of a Gaussian peak
Frequency, Hz
Relative amplitude
0
0.52
0.125
1.0
0.250
0.84
0.375
0.63
0.500
0.43
0.625
0.26
0.750
0.14
0.875
0.07
1.000
0.03
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