How Do You Sketch x[2n] from a Discrete Signal?

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To sketch x[2n] from the discrete signal x[n], one must understand that the x-axis for x[2n] is compressed by a factor of two compared to x[n]. This means that the values of x[n] are sampled at every second point, effectively reducing the number of points plotted. The transformation results in a new signal that retains the amplitude of the original but alters the spacing of the samples. The confusion arises from the relationship between the two signals' x-axes, where n in x[2n] corresponds to every second n in x[n]. Understanding this relationship is crucial for accurately plotting the transformed signal.
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Discrete signal x[n] is shown in the first picture. Sketch x[2n]

LQSkztR.png



Answer
QQXy9nu.png


Can anyone ecplain why x[2n] is like that. I can understand how to plot it if i have a continuous time signal
 
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On the second picture's x axis, n = 2n of the first picture's x axis.
 

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