| 11. | This result, usually attributed to Shannon, is known as the Nyquist Shannon sampling theorem.
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| 12. | The sampling theorem provides only a sufficient condition for perfect reconstruction, not a necessary condition.
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| 13. | The image shows the effects of aliasing when the sampling theorem's condition is not satisfied.
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| 14. | Multidimensional sampling is similar to classical sampling as it must adhere to the Nyquist Shannon sampling theorem.
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| 15. | However, the sampling theorem can be extended in a straightforward way to functions of arbitrarily many variables.
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| 16. | The Nyquist & ndash; Shannon sampling theorem is critical for understanding the output of such discrete transforms.
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| 17. | A sampling method fundamentally different from classical fixed-rate sampling cannot " violate " the sampling theorem.
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| 18. | The mathematical limits for noise removal are set by information theory, namely the Nyquist Shannon sampling theorem.
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| 19. | The choice of sample rate used in a digital system is based on the Nyquist-Shannon sampling theorem.
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| 20. | This is a misconception, because the sampling theorem guarantees perfect reconstruction given sufficient, not necessary, conditions.
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