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If the resolution of an image is increased, and sampling rate remains the same, the signal bandwidth _____.

  1. Decreases

  2. Remains the same

  3. Changes depending on the image

  4. Increases

The correct answer is: Increases

Increasing the resolution of an image while keeping the sampling rate constant leads to a greater density of pixel information within the same spatial area. This increased resolution means that more detail is packed into an image, which translates to a larger data set requiring transmission or processing. As the resolution increases, the amount of detail and the number of pixels in the image grow, and with this influx of data, the signal bandwidth must also increase to accommodate the larger volume of information being processed or transmitted. Essentially, more bandwidth is needed to carry the richer detail of the higher-resolution image without sacrificing quality or performance. It's important to recognize that maintaining the same sampling rate while increasing resolution will not suffice to manage the additional data, directly correlating to an increase in signal bandwidth requirements to ensure fidelity and clarity of the image.