A continuous-time LTI systems has an impulse response
h(t)=piecewise(-A<=t<=A, A-|t|, otherwise, 0)
Find the smallest value of A (A>0) so that the signal x(t)=cos(10^6*2Pi*t) is attenuated to zero by the system.
h(t) is a triangle from -A to A with height A at t=0. The slopes are 1 and -1 on the left and right sides, respectively.
Since we have the impluse response of the system the output of any input can be calculated using a convolution (or Fourier transforms).
Can anyone see an easy way to do this? I don't think it is supposed to be extremely difficult.
thanks
h(t)=piecewise(-A<=t<=A, A-|t|, otherwise, 0)
Find the smallest value of A (A>0) so that the signal x(t)=cos(10^6*2Pi*t) is attenuated to zero by the system.
h(t) is a triangle from -A to A with height A at t=0. The slopes are 1 and -1 on the left and right sides, respectively.
Since we have the impluse response of the system the output of any input can be calculated using a convolution (or Fourier transforms).
Can anyone see an easy way to do this? I don't think it is supposed to be extremely difficult.
thanks
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