Question: Using DFT to show the effect in the frequency domain of interlacing zeros into a time series (x_{t}). Here, interlacing zeros means turning an (N)-length

Using DFT to show the effect in the frequency domain of interlacing zeros into a time series $x_{t}$. Here, interlacing zeros means turning an $N$-length $x_{t}=\left\{x_{1}, x_{2}, x_{3}, \ldots, x_{N}\right\}$ into a $2 N$-length $y_{t}=\left\{x_{1}, 0, x_{2}, 0, x_{3}, 0, \ldots \ldots, x_{N}, 0\right\}$.

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