Input-output relationship of an LTI system is given by the equation y[n] -0.3y[n 1] = x[n]. a. Draw the block diagram of the system. b. Derive the output signal equation y[n] fully in the discrete-time domain (without using any transform), if the input signal is x[n] = A8[n]. c. Derive the impulse response equation. d. Is this FIR or IIR system, why? e. Find H(z).

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Input-output relationship of an LTI system is given by the equation y[n] -0.3y[n 1] = x[n].
a. Draw the block diagram of the system.
b. Derive the output signal equation y[n] fully in the discrete-time domain (without using any transform), if the input
signal is x[n] = Ad[n].
c. Derive the impulse response equation.
d. Is this FIR or IIR system, why?
e. Find H(z).
Transcribed Image Text:Input-output relationship of an LTI system is given by the equation y[n] -0.3y[n 1] = x[n]. a. Draw the block diagram of the system. b. Derive the output signal equation y[n] fully in the discrete-time domain (without using any transform), if the input signal is x[n] = Ad[n]. c. Derive the impulse response equation. d. Is this FIR or IIR system, why? e. Find H(z).
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