如果一个线性系统的输入\({\mathrm{x(t)}}\)为矩形波,输出\(y(t)\)为简单正弦波,即 \(x(t)=\cases{1 \quad 0\leq t\leq T \\0 \quad t\lt 0; t\gt T} \qquad y(t)=\cases{\sin\dfrac{2\pi t}{T} \ 0\leq t\leq T\\0 \qquad \ \ t\lt 0; t\gt T}\) 则系统频响函数\(\mathit{H(ω)}\)为
A. \(H(ω)=\dfrac{4π^2Tω}{4π^2+T^2ω^2}\)
B. \(H(ω)=\dfrac{4π^2Tω}{4π^2-T^2ω^2}\)
C. \(H(ω)=\dfrac{4π^2Tωi}{4π^2-T^2ω^2}\)
D. \(H(ω)=\dfrac{4π^2Tωi}{4π^2+T^2ω^2}\)