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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Impulse<br />

(point sampling)<br />

0 1 t 0 2π<br />

sinc<br />

0 1 t 0 2π<br />

sinc 2<br />

0 1 t 0 2π<br />

Gaussian<br />

0 1 t 0 2π<br />

Triangle (“tent,”<br />

linear interpolation)<br />

0 1 t 0 2π<br />

Boxcar<br />

(nearest neighbor)<br />

0 1 t 0 2π<br />

Constant<br />

0 1 t 0 2π<br />

Constant<br />

Boxcar<br />

Triangle<br />

Gaussian<br />

sinc 2<br />

CHAPTER 16 FILTERING AND SAMPLING 151<br />

sinc<br />

Impulse<br />

Figure 16.9 Fourier transform pairs for several functions are shown in these graphs. In the left<br />

column is a set of waveforms in the time domain; beside each waveform is its frequency spectrum.<br />

ω<br />

ω<br />

ω<br />

ω<br />

ω<br />

ω<br />

ω

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