How does decreasing pixel pitch p affect the Nyquist frequency?

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Multiple Choice

How does decreasing pixel pitch p affect the Nyquist frequency?

Explanation:
Nyquist frequency is half the sampling rate. Pixel pitch p is the spacing between samples on a sensor, so a smaller pitch means you take more samples per unit length. Since the sampling rate scales as 1/p, the Nyquist frequency, which is half of that rate, scales as 1/(2p). Therefore, decreasing p increases the Nyquist frequency. This means you can represent higher spatial frequencies without aliasing when the pixels are smaller. It wouldn’t stay the same or become undefined—the relationship is direct: smaller pitch yields a higher Nyquist limit.

Nyquist frequency is half the sampling rate. Pixel pitch p is the spacing between samples on a sensor, so a smaller pitch means you take more samples per unit length. Since the sampling rate scales as 1/p, the Nyquist frequency, which is half of that rate, scales as 1/(2p). Therefore, decreasing p increases the Nyquist frequency. This means you can represent higher spatial frequencies without aliasing when the pixels are smaller. It wouldn’t stay the same or become undefined—the relationship is direct: smaller pitch yields a higher Nyquist limit.

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