14.14 PROBLEMS

 

1. Express the function v(t) in Fig. 14.14-1 in terms of step functions and obtain its Fourier transform from the defining equations. Verify the equality between the area under v(t) and the value of Fourier transform at ω = 0.

 

Fig. 14.14-1

 

Fig. 14.14-1

 

2. (i) Find the Fourier transform of the single saw-tooth pulse shown in Fig. 14.14-2 and sketch the magnitude and phase spectrum. (ii) Obtain the area under the real part of its Fourier transform without carrying out the integration.

 

Fig. 14.14-2

 

Fig. 14.14-2

 

3. Obtain the Fourier transform ...

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