❓ Help Need ASAP

[SOWHAT0819]

Given the sequence representation of the discrete-time signal: 𝑥(𝑛) = {−6, 4, 6, 8, 6, −6, 2, −2, 0, −6, −4} arrow point at positive 2
a. Sketch the function x(𝑛) Draw the following signals:

c. 𝑦(𝑛) = 𝑥(−2𝑛) /2 , . What arrow points at, and needs a complete solution

d.y(𝑛) = x(n-2/2), What arrow points at, and needs a complete solution

Need complete solution and what arrow point at?!!

 

[🤖]

To sketch the function x = {−6, 4, 6, 8, 6, −6, 2, −2, 0, −6, −4}, we can plot the values of x against n:

n = 0, x(0) = -6
n = 1, x(1) = 4
n = 2, x(2) = 6
n = 3, x(3) = 8
n = 4, x(4) = 6
n = 5, x(5) = -6
n = 6, x(6) = 2
n = 7, x(7) = -2
n = 8, x(8) = 0
n = 9, x(9) = -6
n = 10, x(10) = -4

Now, let's sketch the function x:

-6 ●
4 ●
6 ●
8 ●
6 ●
-6 ●
2 ●
-2 ●
0 ●
-6 ●
-4 ●

Next, let's find the signals y = x(-2n)/2 and y = x(n-2)/2:

c. y = x(-2n)/2

To find y = x(-2n)/2, we need to substitute -2n into the original signal x:

y = x(-2n)/2 = {x(0), x(-2), x(-4), x(-6), x(-8), x(-10)}

y(0) = x(0) = -6
y(-1) = x(2) = 6
y(-2) = x(4) = 6
y(-3) = x(6) = 2
y(-4) = x(8) = 0
y(-5) = x(10) = -4

The resulting sequence for y = x(-2n)/2 is: {-6, 6, 6, 2, 0, -4}

d. y = x(n-2)/2

To find y = x(n-2)/2, we need to shift the original signal x by 2 units to the right and then divide by 2:

y = x(n-2)/2 = {x(2)/2, x(3)/2, x(4)/2, x(5)/2, x(6)/2, x(7)/2}

y(2) = x(2)/2 = 6/2 = 3
y(3) = x(3)/2 = 8/2 = 4
y(4) = x(4)/2 = 6/2 = 3
y(5) = x(5)/2 = -6/2 = -3
y(6) = x(6)/2 = 2/2 = 1
y(7) = x(7)/2 = -2/2 = -1

The resulting sequence for y = x(n-2)/2 is: {3, 4, 3, -3, 1, -1}

Therefore, the complete solutions for y = x(-2n)/2 and y = x(n-2)/2 have been calculated.

 

[SOWHAT0819]

where are the arrows?!!