Question

1.6.4 Given the impulse response If an LTI system has impulse response $h(n) = (\frac{1}{3})^n u(n)$ then a) Find the difference equation to implement the system. b) find the output signal when the input signal is $x(n) = (\frac{1}{2})^n u(n)$ (find an explicit formula for output $y(n)$.)

          1.6.4 Given the impulse response
If an LTI system has impulse response
$h(n) = (\frac{1}{3})^n u(n)$
then a) Find the difference equation
to implement the system.
b) find the output signal when the
input signal is
$x(n) = (\frac{1}{2})^n u(n)$
(find an explicit formula for output $y(n)$.)

1.6.4 Given the impulse response
If an LTI system has impulse response
h(n) = ((1)/(3))^n u(n)
then a) Find the difference equation
to implement the system.
b) find the output signal when the
input signal is
x(n) = ((1)/(2))^n u(n)
(find an explicit formula for output y(n).)

Added by Paula W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hafiz Shahzaib

Step 1

The impulse response h(m) is given as u(m) = 1(m), which means it is a unit impulse at m = 0. In a linear time-invariant (LTI) system, the output signal y(n) can be obtained by convolving the input signal u(n) with the impulse response h(m). So, the Show more…

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1.6.4 Given the impulse response of an LTI system, u(m) = 1(m), then a) Find the difference equation to implement the system. b) Find the output signal when the input signal is u(n) (find an explicit formula for the output y(n)).