mws_gen_fft_spe_ppttranspair - Numerical Methods Fourier...

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Numerical Methods Fourier Transform Pair Part: Frequency and Time Domain http://numericalmethods.eng.usf.edu
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For more details on this topic Go to http://numericalmethods.eng.usf.edu Click on keyword Click on Fourier Transform Pair
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Chapter 11.03: Fourier Transform Pair: Frequency and Time Domain Major: All Engineering Majors Authors: Duc Nguyen http://numericalmethods.eng.usf.edu Numerical Methods for STEM undergraduates http://numericalmethods.eng.usf.edu 5 9/4/2010 Lecture # 5
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http://numericalmethods.eng.usf.edu 6 ) ( ) ( ) ( 1 1 0 1 t Sin b t Cos a a t f + + ) 2 ( ) 2 ( ) ( ) ( ) ( 2 2 1 1 0 2 t Sin b t Cos a t Sin b t Cos a a t f + + + + ) 2 ( ) 2 ( ) ( ) ( ) ( 2 2 1 1 0 4 t Sin b t Cos a t Sin b t Cos a a t f + + + + Example 1 = < < = ) ( 2 for 0 for ) ( T t t t t f π π π π ) 4 ( ) 4 ( ) 3 ( ) 3 ( 4 4 3 3 t Sin b t Cos a t Sin b t Cos a + + + +
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http://numericalmethods.eng.usf.edu 7 Frequency and Time Domain The amplitude (vertical axis) of a given periodic function can be plotted versus time (horizontal axis), but it can also be plotted in the frequency domain as shown in Figure 2. Figure 2 Periodic function (see Example 1 in Chapter 11.02 Continuous Fourier Series) in frequency domain.
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