According to the Nyquist–Shannon sampling theorem the spatial aliasing occurs when Fourier's frequencies exceed the Nyquist critical frequency. In the present. The Nyquist sampling theorem provides a prescription for the If we sample this waveform at 2 Hz (as dictated by the Nyquist theorem), that is. Nyquist–Shannon sampling theorem. The Nyquist–Shannon sampling theorem states that you have to sample more than twice the highest frequency. If you sample less often, you will get aliasing.

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In practice, analog signals usually have complex waveforms, with components at many frequencies. The highest frequency component in an analog nyquist shannon theorem determines the bandwidth of that signal.

The higher the frequency, the greater the bandwidth, if all other factors are held constant.

## What is the Nyquist (Shannon) sampling theorem? - Quora

Suppose the highest frequency component, in hertzfor a given analog signal is fmax. According to the Nyquist Nyquist shannon theorem, the sampling rate must be at least 2fmax, or twice the highest analog frequency component.

Similar to one-dimensional discrete-time signals, images can also suffer from nyquist shannon theorem if the sampling resolution, or pixel density, is nyquist shannon theorem. For example, a digital photograph of a striped shirt with high frequencies in other words, the distance between the stripes is smallcan cause aliasing of the shirt when it is sampled by the camera's image sensor.

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The "solution" to higher sampling in the spatial domain for this case would be to move closer to the shirt, use a higher resolution sensor, or to optically blur nyquist shannon theorem image before acquiring it with the sensor.

Another example is shown to the right in the brick patterns.

## The Nyquist-Shannon Sampling Theorem

The top image shows the effects when the sampling theorem's condition is not satisfied. The top image is what happens when the image is downsampled nyquist shannon theorem low-pass filtering: The sampling theorem applies to camera systems, where the scene and lens constitute an analog spatial signal source, and the image sensor is a spatial sampling device.

The Shannon sampling theorem can be understood by using the analogy of a rotating wheel. Consider a wheel with eight spokes spaced 45 degrees nyquist shannon theorem. Now suppose you rotate the spokes at 45 degrees per second in the anti-clockwise direction. Then it would take eight seconds for each spoke to return to its original position.

Now you have a analog signal before your eyes with your eyes being the recording instrument. Now take a look at the photos. Do you see any difference?

Each nyquist shannon theorem the photographs shows the spokes in their original positions, even though they have rotated, because their final position is the same.

What happens if you rotate the flywheel in the clockwise direction?