Consider a system described by a linear constant-coefficient difference equation with initial-rest conditions. The step response of

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Consider a system described by a linear constant-coefficient difference equation with initial-rest conditions. The step response of the system is given by 

y[n] = (1/3)n u[n] + (1/4)n u[n] + u[n].

(a) Determine the difference equation.

(b) Determine the impulse response of the system.

(c) Determine whether or not the system is stable.

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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