A linear system relates its input, x[n], to its output, y[n], through the expression: y[n] = ay[n – 1] - ky[n – 2] + e[n
Posted: Fri Apr 29, 2022 8:48 am
A linear system relates its input, x[n], to its output, y[n], through the expression: y[n] = ay[n – 1] - ky[n – 2] + e[n] - 4rn – 1] (i) State, with justification, whether this system is causal or non-causal. (1) (ii) Find the transfer function for this system and discuss for what values of a the system is stable. (3) (iii) For a = 1 find the final value of the system for the unit step input. (1) (iv) If a = /, find the impulse response h[n], using Z-transform analysis. (3)