A causal LTI system is described by the difference equatiion
y[n] +1/6y[n − 1] −1/6 y[n − 2] = x[n] −1/5 x[n − 1].
(a) Find the output if input signal is x[n] = ejπn/3.
(b) Find the output if input signal is x[n] =(1/3)^n u[n − 1].
(c) Find the output if input signal is x[n] = (1/5)^n
(d) Find the output if input signal is x[n] = 4^n.
(e) If the output of the system is (1/3)^n u[n], what is the input signal?
(f) If the output of the system is y[n] = 1, what is the input signal?
(g) If the output of the system is y[n] = 10ejπn/4, what is the input signal?
y[n] +1/6y[n − 1] −1/6 y[n − 2] = x[n] −1/5 x[n − 1].
(a) Find the output if input signal is x[n] = ejπn/3.
(b) Find the output if input signal is x[n] =(1/3)^n u[n − 1].
(c) Find the output if input signal is x[n] = (1/5)^n
(d) Find the output if input signal is x[n] = 4^n.
(e) If the output of the system is (1/3)^n u[n], what is the input signal?
(f) If the output of the system is y[n] = 1, what is the input signal?
(g) If the output of the system is y[n] = 10ejπn/4, what is the input signal?
Asked Nov 10, 2012
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