Consider two LTI system having frequency response H1(f) and H2(f).
If an input \(x\left( t \right) = 10\cos \left( {20\;\pi t + \frac{\pi }{4}} \right) + 20\sin \left( {40\;\pi t + \frac{\pi }{8}} \right)\)is applied to both the systems. Then for the magnitude of the output in both cases to be same and output of the form 5 cos (20πt + θ).
Which of the following is / are correct?1
The cut-off frequency of H1(f) and H2(f) should be same
2
Both H1(f) and H2(f) needs to have the same shape
3
The shape and cut-off frequency of H1(f) and H2(f) needs to be same
4
The shape and cut-off frequency of H1(f) and H2(f) can be different