consider these systems is linear or time invariant?
b) Y[n]=X[n] X[n-5]
linearity of the system is defined by the principle of proportionality and superposition
and time-invariant system means if a time shift of the input sequence causes a coresponding shift in the output sequence.
The Attempt at a Solution
so,this system is time-invariant
Y[n-no]=X[n-no] X[n-no-5] <- here I'm not sure..
but, I think this system is time-invariant
since the output wasn't as we expect, so the system is not time-invariant
can, someone check my works, am I correct or wrong? and also, how to check whether the system is linear, I know that theoretically the linear system should satisfy the superposition and proportionality, but I'm not sure how to work out with it.. thanks