Consider a causal LTI system described by the difference equation.< 1 y [n]+±y n − 1] = x[n] . - (a) Determine the frequency response H (ejw) of this system (b) What is the response of the system to the following inputs? n (i) x [n] = (¹)" u [n] (ii) x [n] = 8 [n] - [n-1] (c) Find the time response to the inputs with the following Fourier trans- forms (i) X (ejw) (ii) X (ejw) = = 1 - 1+ 1 1 -jw (1-112) (11/12) e-jw 1+