[其他] time-invariant
假設輸入和輸出存在一個關係
y(t)=x(t-2)+x(2-t)
我要驗證這個系統是否為time-invariant
以下是我的過程
y1(t)=x1(t-2)+x1(2-t)
假設x2(t)=x1(t-t0)
那麼y2(t)=x2(t-2)+x2(2-t)
=x1(t-t0-2)+x1(2-t+t0).......*
=y1(t-t0)..........所以是time-invariant
但是解答是說我算式*的地方應該是
x1(t-t0-2)+x1(2-t-t0)才對
而y1(t-t0)=才是算式*
兩者不相等所以是time-variany
請問為什麼會這樣呢？
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