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

(a) stable (2%),

(b) causal (1%),

(c) linear (1%), and

(d) time invariant (1%).

(a) (8%)

(b) (7%)Mn]+0.4Mn-1]=0.6x[n]，x[n]=(0.5)ⁿu[n],y-1]=2

(a) the frequency response (5%) and

(b) the linear, constant-coefficient difference equation (5%) of the system.

(a) (6%) Find the Fourier transform of rectangular function

(b) (6%) Find the time-domain signal corresponding to the following Fourier representation

(c) (6%) Use Parseval's theorem to evaluate the following quantities:

(a) (6%) show that y(t) is also a periodic function of period "I" i.e.,

y(t) =y(t-1)

(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)

(1)

(2)

(1) h[n] = 0.5ⁿu[n]

(2) h[n] = (n + 1)0.5ⁿu[n]

8. (6%) Find the locations of poles and zeros and discuss the causality and stability of the following s-domain transfer function.

9. (6%) Find the locations of poles and zeros and discuss the causality and stability of the following z-domain transfer function.

10.(8%) Find the impulse response (i.e., h(t)) and the transfer function (i.e., H(s)) of the following CT LTI system. The input signal is a(t) and the output signal is y(t).

11.(8%) Find the impulse response (i.e., h[n]) and the transfer function (i.e., H(z)) of the following CT LTI system. The input signal is xโn)] and the output signal is yin].

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

試卷資訊

選擇題 (0)

申論題 (21)