rramya
Member level 4
Choose the correct answer. The input to an LTI system is sin 20t+cos 10t. The output
cannot be
(a) sin 20t.
(b) cos 20t + sin 10t.
(c) sin 30t + cos 10t.
(d) cos 20t.
To the best of my knowlegde the answer is sin 30t + cos 10t.
Am i correct?( as sin30t is present which is of different frequency)
because,
if you take a sinusoid, make many copies of it, scale them all by different gains,
delay them all by different time intervals, and add them up, you always get a
sinusoid at the same original frequency.
when a sinusoid at a particular frequency is input to an LTI system, a sinusoid
at that same frequency always appears at the output. Only the amplitude and
phase can be changed by the system.
cannot be
(a) sin 20t.
(b) cos 20t + sin 10t.
(c) sin 30t + cos 10t.
(d) cos 20t.
To the best of my knowlegde the answer is sin 30t + cos 10t.
Am i correct?( as sin30t is present which is of different frequency)
because,
if you take a sinusoid, make many copies of it, scale them all by different gains,
delay them all by different time intervals, and add them up, you always get a
sinusoid at the same original frequency.
when a sinusoid at a particular frequency is input to an LTI system, a sinusoid
at that same frequency always appears at the output. Only the amplitude and
phase can be changed by the system.