Compare the resulting peak to the actual gaussian

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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.

1286_Figure4-9.jpg

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

Reference no: EM13965878

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