Chapter 6: Continuous-time Fourier Methods
Dr. Kalyana Veluvolu
Example 1 (Find the Fourier Series Pair)
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Chapter 6: Continuous-time Fourier Methods
Dr. Kalyana Veluvolu
Example 2
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Find the Fourier Series pair for the periodic function defined in one period
Chapter 6: Continuous-time Fourier Methods
Dr. Kalyana Veluvolu
Example 6 - CTFT
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rect(t) sinc(f)F
Linearity 25 rect(t) 25 sinc(f)F
Time Scaling 25 rect(t/10) 250 sinc(10f)F
Time Shifting 25 rect((t-4)/10) 250 sinc(10f)F 8j fe
Find CTFT of x(t)= 25 rect((t-4)/10)
We can find the CTFT of the unit rectangle function
in the table of Fourier Transforms
Chapter 6: Continuous-time Fourier Methods
Dr. Kalyana Veluvolu
If x(t)= 10 Sin(t) find
(a) The CTFT of x(t) ; b) The CTFT of x(2(t-1));
c) The CTFT of x(2t-1)
Better to use radian-frequency form of CTFT
Example 8 - CTFT
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a)
Chapter 6: Continuous-time Fourier Methods
Dr. Kalyana Veluvolu
Example 8 – CTFT contd..
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b) The CTFT of x(2(t-1));
Chapter 6: Continuous-time Fourier Methods
Dr. Kalyana Veluvolu 15
Example 8 – CTFT contd..
c) The CTFT of x(2t-1);
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