单选题 Given H(z) = (2+z^(-1))/(1-0.5z^(-1)), the impulse response is:

A、 FIR

B、 IIR

C、 Cannot be determined

D、 Both FIR and IIR

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单选题 A signal with fmax = 10 kHz is sampled at fs = 15 kHz. What happens?

A、 Perfect reconstruction

B、 Aliasing

C、 Quantization error

D、 No distortion

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单选题 The DTFT of a sequence exists if:

A、 The ROC includes the origin

B、 The ROC includes the unit circle

C、 The ROC is outside all poles

D、 The ROC is inside all poles

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单选题 A continuous signal has maximum frequency fmax = 4 kHz. What is the minimum sampling rate to avoid aliasing?

A、 2 kHz

B、 4 kHz

C、 8 kHz

D、 16 kHz

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单选题 Consider the system y[n] = x[n] + 2x[n-1]. Which property does it have?

A、 Nonlinear and non-causal

B、 Linear and causal

C、 Linear and non-causal

D、 Nonlinear and causal

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单选题 A frequency spectrum has strong components at low frequencies and negligible high frequencies. The corresponding time-domain sequence:

A、 Changes rapidly with many oscillations

B、 Changes slowly with smooth variation

C、 Has discontinuities at every sample

D、 Is a pure sinusoid

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单选题 The sequence x[n] = (0.5)^n u[n] has DTFT:

A、 Does not exist

B、 Exists and equals 1/(1-0.5e^(-jw))

C、 Exists only for w = 0

D、 Exists but cannot be expressed in closed form

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单选题 The sequence x[n] = cos((3π/4)n) has period:

A、 3

B、 4

C、 6

D、 8

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单选题 The system y[n] = n · x[n] is:

A、 Linear and time-invariant

B、 Nonlinear and time-invariant

C、 Linear and time-varying

D、 Nonlinear and time-varying

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