Question

8. Consider a signal $x(n)$, given that $a = 0.81$, and is described by: $x(n) = egin{cases} a^{(|n|/2)}, & \text{n is an even integer;}\\ 0, & \text{otherwise.} \end{cases}$ (a) Sketch $x(n)$. Hint: Choose the range $|n| \le 40$. (b) Find the energy of the signal. Verify using the equation and Matlab. (c) Consider $y(n) = nx(n)$. Plot $y(n)$ and hence, determine the maximum, minimum, their corresponding values of $n$ at the max. and min. (d) Find the energy of $y(n)$.

          8. Consider a signal $x(n)$, given that $a = 0.81$, and is described by:
$x(n) = egin{cases} a^{(|n|/2)}, & \text{n is an even integer;}\\ 0, & \text{otherwise.} \end{cases}$
(a) Sketch $x(n)$. Hint: Choose the range $|n| \le 40$.
(b) Find the energy of the signal. Verify using the equation and Matlab.
(c) Consider $y(n) = nx(n)$. Plot $y(n)$ and hence, determine the maximum, minimum, their
corresponding values of $n$ at the max. and min.
(d) Find the energy of $y(n)$.

8. Consider a signal x(n), given that a = 0.81, and is described by:
x(n) = egincases a^(|n|/2), n is an even integer;
0, otherwise.
(a) Sketch x(n). Hint: Choose the range |n| ≤ 40.
(b) Find the energy of the signal. Verify using the equation and Matlab.
(c) Consider y(n) = nx(n). Plot y(n) and hence, determine the maximum, minimum, their
corresponding values of n at the max. and min.
(d) Find the energy of y(n).

Added by Donna B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Mahipal Kumawat

Step 1

Given that a = 0.81, we have: x(n) = a(|n|/2) if n is an even integer x(n) = 0 otherwise Let's consider the range [n < 40]. For even values of n, we can calculate x(n) as follows: x(n) = 0.81 * (|n|/2) = 0.405 * |n| For odd values of n, x(n) = 0. So, the Show more…

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8. Consider a signal x(n), given that a = 0.81, and is described by: a(|n|/2), n is an even integer; otherwise. a) Sketch x(n). Hint: Choose the range [n < 40]. (b) Find the energy of the signal. Verify using the equation and Matlab. (c) Consider y(n) = nx(n). Plot y(n) and hence, determine the maximum, minimum, their corresponding values of n at the max. and min. (d) Find the energy of y(n).