Chapter 6: Continuous-time Fourier Methods Example 1 (Find the Fourier...

Chapter 6: Continuous-time Fourier Methods

Dr. Kalyana Veluvolu

Example 1 (Find the Fourier Series Pair)

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Example 2

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Find the Fourier Series pair for the periodic function defined in one period



Example 2 Cond…

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Example 3

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Example 3 Cond..

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Example 3 Cond..

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Example 4

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Example 5

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Fourier Transform Properties

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Fourier Transform Properties

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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



Example 7 - CTFT

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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)



Example 8 – CTFT contd..

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b) The CTFT of x(2(t-1));


Dr. Kalyana Veluvolu 15

Example 8 – CTFT contd..

c) The CTFT of x(2t-1);


Dr. Kalyana Veluvolu 16

Example 9 – CTFT

Chapter 6: Continuous-time Fourier Methods Example 1 (Find the Fourier...

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