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 Sampling Theorem 20 Flashcards |
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What is the minimum sampling rate required to perfectly reconstruct a band-limited signal with bandwidth B? |
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Greater than 2B |
Card: 2 / 20 |
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Riddle: I am a type of signal whose Fourier Transform is non-zero only within a finite interval of the frequency axis. What am I? |
Card: 3 / 20 |
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Band-limited signal |
Card: 4 / 20 |
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True or False: A signal can be reconstructed perfectly from its samples if it is sampled at exactly twice its bandwidth. |
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False. It must be sampled at a rate greater than 2B to avoid aliasing. |
Card: 6 / 20 |
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Fill in the blank: The Sampling Theorem states that a band-limited signal can be recovered from its samples if the sampling rate is greater than ______. |
Card: 7 / 20 |
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2B |
Card: 8 / 20 |
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Which property of LTI systems allows the output to be expressed as the convolution of the input signal with the system's impulse response? |
Card: 9 / 20 |
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Superposition Principle |
Card: 10 / 20 |
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Riddle: I transform convolution in the time domain into multiplication in the frequency domain. What am I? |
Card: 11 / 20 |
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Fourier Transform |
Card: 12 / 20 |
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True or False: Aliasing occurs when the sampling frequency is greater than twice the highest frequency of the signal. |
Card: 13 / 20 |
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False. Aliasing occurs when the sampling frequency is less than or equal to twice the highest frequency. |
Card: 14 / 20 |
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Fill in the blank: A band-limited signal is infinitely differentiable and ______. |
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Very smooth |
Card: 16 / 20 |
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What is the effect called when higher frequencies reflect into lower frequencies due to insufficient sampling? |
Card: 17 / 20 |
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Aliasing |
Card: 18 / 20 |
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Which theorem states that knowing the Fourier transform is limited to a certain range allows reconstruction using uniform samples? |
Card: 19 / 20 |
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Duality of the Sampling Theorem |
Card: 20 / 20 |
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