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Given a discrete time signal x[k] defined by x[k] = 1, for -2 ≤ k ≤ 2 and 0, for |k| > 2. Then, y[k] = x[3k - 2] is ______________
  • a)
    y[k] = 1, for k = 0, 1 and 0 otherwise
  • b)
    y[k] = 1, for k = 1 and -1 for  k= -1
  • c)
    y[k] = 1, for k = 0, 1 and -1 otherwise
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Given a discrete time signal x[k] defined by x[k] = 1, for -2 ≤ k &...
Based on the given information, the discrete time signal x[k] is defined as follows:

x[k] = 1 for -2 <= k=""><=>
x[k] = 0 otherwise

This means that the signal x[k] has a value of 1 for values of k between -2 and 2 (inclusive), and has a value of 0 for all other values of k.

To visualize this signal, you can plot its values on a graph. The x-axis represents the values of k, and the y-axis represents the values of x[k].

Here is a plot of the signal x[k]:

| 1 |
1 ---| |---
| |
0 ---| 1 |---
| |
-1---| |---
| |
-2---|-------|---
-2 2

In this plot, the signal x[k] has a value of 1 for k = -2, -1, 0, 1, 2, and has a value of 0 for all other values of k.
Free Test
Community Answer
Given a discrete time signal x[k] defined by x[k] = 1, for -2 ≤ k &...
y[k] = x [3k-2]
Now, y [0] = x [-2] = 1
Or, y [1] = x [1] = 1
Or, y [2] = x [4] = 0
∴ y[k] = 1, for k = 0, 1 and 0 otherwise.
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Given a discrete time signal x[k] defined by x[k] = 1, for -2 ≤ k ≤ 2 and 0, for |k| > 2. Then, y[k] = x[3k - 2] is ______________a)y[k] = 1, for k = 0, 1 and 0 otherwiseb)y[k] = 1, for k = 1 and -1 for k= -1c)y[k] = 1, for k = 0, 1 and -1 otherwised)None of theseCorrect answer is option 'A'. Can you explain this answer?
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