Question

1. a) Find the impulse response h[n] of the system described by the difference equation 8y[n]+6y[n-1] = x[n] b) Show that the convolution sum of the impulse response from the problem.a) with the input x[n] yields the output which solves the original difference equation for the equation in problem.a) * use impulse response to make use of y[n] 8y[n]+6y[n-1] = x[n]

          1.
a) Find the impulse response h[n] of the system described by the difference equation
8y[n]+6y[n-1] = x[n]
b) Show that the convolution sum of the impulse response from the problem.a) with
the input x[n] yields the output which solves the original difference equation for
the equation in problem.a)
* use impulse response to make use of y[n]
8y[n]+6y[n-1] = x[n]

1.
a) Find the impulse response h[n] of the system described by the difference equation
8y[n]+6y[n-1] = x[n]
b) Show that the convolution sum of the impulse response from the problem.a) with
the input x[n] yields the output which solves the original difference equation for
the equation in problem.a)
* use impulse response to make use of y[n]
8y[n]+6y[n-1] = x[n]

Added by Rachel V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/11/2023

Step 1

The given difference equation is 8y[n] + 6y[n-1] = x[n]. To find the impulse response h[n], we replace x[n] with δ[n], where δ[n] is the Kronecker delta function, which is 1 at n = 0 and 0 otherwise. So, the equation becomes 8y[n] + 6y[n-1] = δ[n]. Show more…

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