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$N$ is an even integer, $x[n]$ is a finite length signal over the interval $n \in [0,N-1]$, and $X[k]$ is the $N$-point DFT of $x[n]$. Analytically find the DFT of sequence below in terms of $X[k]$. DFT size is $2N$ and

enter image description here

So, I did this (note: below, in $Y[k]=X[k/2]$, $k$'s being odd creates indefiniteness.)

enter image description here

enter image description here

I found the exponential terms in terms of sine appears on both nominator and denominator.

$N$ is an even integer, $x[n]$ is a finite length signal over the interval $n \in [0,N-1]$, and $X[k]$ is the $N$-point DFT of $x[n]$. Analytically find the DFT of sequence below in terms of $X[k]$. DFT size is $2N$ and

enter image description here

So, I did this (note: below, in $Y[k]=X[k/2]$, $k$'s being odd creates indefiniteness.)

enter image description here

$N$ is an even integer, $x[n]$ is a finite length signal over the interval $n \in [0,N-1]$, and $X[k]$ is the $N$-point DFT of $x[n]$. Analytically find the DFT of sequence below in terms of $X[k]$. DFT size is $2N$ and

enter image description here

So, I did this (note: below, in $Y[k]=X[k/2]$, $k$'s being odd creates indefiniteness.)

enter image description here

enter image description here

I found the exponential terms in terms of sine appears on both nominator and denominator.

added 24 characters in body
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Jdip
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N$N$ is an even integer, x[n]$x[n]$ is a finite length signal over the interval n∈[0,N-1]$n \in [0,N-1]$, and X[k]$X[k]$ is the N$N$-point DFT of x[n]$x[n]$. Analytically find the DFT of sequence below in terms of X[k]$X[k]$. DFT size is 2N$2N$ and

enter image description here

So, I did this (note: below, in Y[k]=X[k/2]$Y[k]=X[k/2]$, k's$k$'s being odd creates indefiniteness.)

enter image description here

N is an even integer, x[n] is a finite length signal over the interval n∈[0,N-1], and X[k] is the N-point DFT of x[n]. Analytically find the DFT of sequence below in terms of X[k]. DFT size is 2N and

enter image description here

So, I did this (note: below, in Y[k]=X[k/2], k's being odd creates indefiniteness.)

enter image description here

$N$ is an even integer, $x[n]$ is a finite length signal over the interval $n \in [0,N-1]$, and $X[k]$ is the $N$-point DFT of $x[n]$. Analytically find the DFT of sequence below in terms of $X[k]$. DFT size is $2N$ and

enter image description here

So, I did this (note: below, in $Y[k]=X[k/2]$, $k$'s being odd creates indefiniteness.)

enter image description here

added 68 characters in body
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N is an even integer, x[n] is a finite length signal over the interval n∈[0,N-1], and X[k] is the N-point DFT of x[n]. Analytically find the DFT of sequence below in terms of X[k]. DFT size is 2N and

enter image description here

So, I did this (note: below, in Y[k]=X[k/2], k's being odd creates indefiniteness.)

enter image description here

N is an even integer, x[n] is a finite length signal over the interval n∈[0,N-1], and X[k] is the N-point DFT of x[n]. Analytically find the DFT of sequence below in terms of X[k]. DFT size is 2N and

enter image description here

So, I did this:

enter image description here

N is an even integer, x[n] is a finite length signal over the interval n∈[0,N-1], and X[k] is the N-point DFT of x[n]. Analytically find the DFT of sequence below in terms of X[k]. DFT size is 2N and

enter image description here

So, I did this (note: below, in Y[k]=X[k/2], k's being odd creates indefiniteness.)

enter image description here

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