Signals & Systems interview questions

1. A.system obeying superposition whose response to a shifted input is the same output shifted, fully described by its impulse response
2. B.a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component
3. C.total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
4. D.integral of the product of input and the time-reversed, shifted impulse response giving LTI output; becomes multiplication in the frequency domain

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1. A.Gibbs phenomenon
2. B.LTI system
3. C.Causality
4. D.Region of convergence

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1. A.LTI system — system obeying superposition whose response to a shifted input is the same output shifted, fully described by its impulse response
2. B.LTI system — output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time
3. C.LTI system — every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response
4. D.LTI system — a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component

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1. A.folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler
2. B.about 9% overshoot next to a discontinuity in a Fourier series partial sum that does not shrink as more terms are added
3. C.set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
4. D.output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time

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1. A.LTI system
2. B.Gibbs phenomenon
3. C.Causality
4. D.Region of convergence

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1. A.Causality — a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component
2. B.Causality — folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler
3. C.Causality — every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response
4. D.Causality — output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time

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1. A.set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
2. B.system obeying superposition whose response to a shifted input is the same output shifted, fully described by its impulse response
3. C.total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
4. D.a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component

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1. A.Nyquist sampling theorem
2. B.Parseval's theorem
3. C.Convolution
4. D.BIBO stability

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1. A.Nyquist sampling theorem — total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
2. B.Nyquist sampling theorem — integral of the product of input and the time-reversed, shifted impulse response giving LTI output; becomes multiplication in the frequency domain
3. C.Nyquist sampling theorem — every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response
4. D.Nyquist sampling theorem — a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component

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1. A.set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
2. B.total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
3. C.integral of the product of input and the time-reversed, shifted impulse response giving LTI output; becomes multiplication in the frequency domain
4. D.folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler

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1. A.Causality
2. B.Region of convergence
3. C.Nyquist sampling theorem
4. D.Aliasing

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1. A.Aliasing — set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
2. B.Aliasing — every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response
3. C.Aliasing — a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component
4. D.Aliasing — folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler

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1. A.every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response
2. B.output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time
3. C.folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler
4. D.integral of the product of input and the time-reversed, shifted impulse response giving LTI output; becomes multiplication in the frequency domain

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1. A.LTI system
2. B.Causality
3. C.Nyquist sampling theorem
4. D.Convolution

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1. A.Convolution — integral of the product of input and the time-reversed, shifted impulse response giving LTI output; becomes multiplication in the frequency domain
2. B.Convolution — set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
3. C.Convolution — output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time
4. D.Convolution — total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform

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1. A.a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component
2. B.folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler
3. C.set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
4. D.output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time

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1. A.Nyquist sampling theorem
2. B.Causality
3. C.LTI system
4. D.Region of convergence

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1. A.Region of convergence — about 9% overshoot next to a discontinuity in a Fourier series partial sum that does not shrink as more terms are added
2. B.Region of convergence — system obeying superposition whose response to a shifted input is the same output shifted, fully described by its impulse response
3. C.Region of convergence — set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
4. D.Region of convergence — folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler

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1. A.folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler
2. B.output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time
3. C.set of s or z values for which the transform sum converges; a causal stable system's region includes the jω axis or unit circle
4. D.every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response

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1. A.Causality
2. B.Nyquist sampling theorem
3. C.Convolution
4. D.BIBO stability

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1. A.BIBO stability — folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler
2. B.BIBO stability — total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
3. C.BIBO stability — about 9% overshoot next to a discontinuity in a Fourier series partial sum that does not shrink as more terms are added
4. D.BIBO stability — every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response

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1. A.a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component
2. B.total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
3. C.every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response
4. D.integral of the product of input and the time-reversed, shifted impulse response giving LTI output; becomes multiplication in the frequency domain

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1. A.Region of convergence
2. B.Aliasing
3. C.Nyquist sampling theorem
4. D.Parseval's theorem

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1. A.Parseval's theorem — integral of the product of input and the time-reversed, shifted impulse response giving LTI output; becomes multiplication in the frequency domain
2. B.Parseval's theorem — total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
3. C.Parseval's theorem — a band-limited signal can be reconstructed exactly when sampled at a rate greater than twice its highest frequency component
4. D.Parseval's theorem — about 9% overshoot next to a discontinuity in a Fourier series partial sum that does not shrink as more terms are added

Answer + AI explanation with Pro

1. A.about 9% overshoot next to a discontinuity in a Fourier series partial sum that does not shrink as more terms are added
2. B.output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time
3. C.folding of frequency components above half the sampling rate into lower frequencies, prevented by a low-pass filter placed ahead of the sampler
4. D.total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform

Answer + AI explanation with Pro

1. A.Aliasing
2. B.Gibbs phenomenon
3. C.Convolution
4. D.Causality

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1. A.Gibbs phenomenon — every bounded input produces a bounded output, which is equivalent to an absolutely integrable (or summable) impulse response
2. B.Gibbs phenomenon — output at any instant depends only on present and past inputs, requiring the impulse response to be zero for negative time
3. C.Gibbs phenomenon — total energy of a signal computed in the time domain equals the energy computed from the squared magnitude of its Fourier transform
4. D.Gibbs phenomenon — about 9% overshoot next to a discontinuity in a Fourier series partial sum that does not shrink as more terms are added

Answer + AI explanation with Pro