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.
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Table Fourier components of a Gaussian peak
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Frequency, Hz
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Relative amplitude
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0
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0.52
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0.125
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1.0
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0.250
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0.84
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0.375
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0.63
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0.500
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0.43
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0.625
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0.26
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0.750
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0.14
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0.875
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0.07
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1.000
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0.03
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