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110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:訊號與系統#104517
> 申論題
題組內容
3. (10%) Given the impulse response of an LTI DT system, h[n] = (0.5)
n
น[n)+2(-0.25)
n
u[n]. Determine
(b) the linear, constant-coefficient difference equation (5%) of the system.
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(c) (6%) Use Parseval's theorem to evaluate the following quantities:
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(a) (6%) show that y(t) is also a periodic function of period "I" i.e., y(t) =y(t-1)
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(b) (6%) Find the Fourier series for y(t) in terms of the Fourier series for f(t) Hint: y(t) = f(t)*h(t), h(t) : the impulse response of δ(t)
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(1)
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(2)
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(1) h[n] = 0.5nu[n]
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(2) h[n] = (n + 1)0.5nu[n]
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8. (6%) Find the locations of poles and zeros and discuss the causality and stability of the following s-domain transfer function.
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相關試卷
110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:訊號與系統#104517
110年 · #104517