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A discrete signal or discrete-time signal is a time series consisting of a sequence of quantities.
1
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Inverse DFT in terms of original signals for product of two DFTs
Given $x[n]$ and $h[n]$ that are zero for $n<0$ and $n>15$, their linear convolution being $y[n]=x[n]*h[n]$ and their discrete time Fourier transforms are $X(e^{j\omega})$ and $H(e^{j\omega})$, then
$ …
2
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answer
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IDFT of $Y[k]=2X[k]$ for even $k$
If the 16-point DFTs of $x[n]$ and $y[n]$ are given as
$Y[k]=\begin{cases}2X[k], & k=0,2,4,...,14 \\ 0, & k=1,3,5,...,15\end{cases}$, where $x[n],y[n]=0, \forall n<0, n>15$, how can I write $y[n]$ in …