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How to solve this even symmetry question?

I have my DSP final soon and I have been reviewing some past exams. Here is a question from one of these exams: Let x[n] be a real valued finite duration signal in n $\in [0,N]$. Another signal $x_1[...
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How to find the following DFT?

Let $x[n] = \cos(\frac{\pi}{8}n)$ and $X(k) = \text{DFT}_{16} \{ x[n]\}$ In order to find $X(k)$ I write out the DFT sum: $$X(k) = \sum_{n=0}^{N-1} x[n] e^{-j2\pi kn/N} = \sum_{n=0}^{15} \cos(\frac{\...
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How to compute the 2N-Point DFT in terms of N-Point DFT with other properties involved

Let's say the N-Point DFT of $x[n]$ is $X(k)$. Now from this question, I know how to compute the 2N-Point DFT of the same $x[n]$ in terms of $X(k)$ However, this idea doesn't translate well if I have ...
Ahsan Yousaf's user avatar
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Can anyone help with the properties of the DFT?

Let N be an even integer, and $x[n]$ be a finite length signal over the interval $n\in [0,N-1]$; let $X[k]$ be the N-pt DFT of $x[n]$. Analytically find the DFT of each sequence below in terms of $X[k]...
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How to reconstruct a time-discrete signal

German: Sie betrachten das zeitkontinuierliche Signal $s(t)$ mit einem digitalen Oszilloskop mit Abtastperiode $T_\mathrm{s}$ und messen das zeitdiskrete Signal $\tilde{s}[n] = s(n\:T_s)$ Nehmen Sie ...
Dansi's user avatar
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what is the C/D equation in dsp?

I have one example test question by this kind: So in this ebook (Digital Signal Processing Using MATLAB) as the DSP references and not found C/D block equations on it? and this c/d search results? ...
Soheil Paper's user avatar
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2 answers
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Is this calculation of inverse z-transform proper

I wonder whether my calculation of inverse z transform are correct. My IIR system is described as follows in Z-domain $H(z) = \frac{z^{-2}}{1-0.5z^{-2}}$ After using partial fraction decomposition I ...
Celeborth's user avatar
1 vote
3 answers
4k views

Calculating N-point DFT of a signal based on another signal's DFT

Recently I have asked this answer. Now I would like to know a little bit more about expressing N-point DFT's of signals in terms of one another. Having N-point DFT X(k) of a certain signal x(n), ...
Celeborth's user avatar
1 vote
1 answer
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Calculating an output of a system (Z- transform question)

I have a following question to answer: An LTI system is described by its impulse response h[n]. For input x[n] it gives output y[n]. $$h[n] = u(n) - u(n-N) $$ $$x[n] = u(n) - u(n-M)$$ I want to ...
Celeborth's user avatar
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Expressing 2N point DFT in terms of N point DFT

I have a problem with expressing odd samples of X2 in terms of X1. I understand that the resulting DFT will be more precise in terms of expressing the exact spectrum of signal x[n], due to more ...
Celeborth's user avatar