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Tagged with quadrature fourier-transform
4 questions
0
votes
1
answer
195
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Sampling with an alternating phase offset
Suppose, I sample a signal $z=\mathrm{e}^{\mathrm{i}\omega t}$ alternatingly in $I=\mathrm{Re}(z(t))$ and $Q=\mathrm{Re}(\mathrm{e}^{\mathrm{i}\alpha}z(t))$. Thus my data array contains
$$\texttt{data ...
- 1
0
votes
1
answer
407
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QAM-spectrum with uneven real & non-odd imaginary part
Despite the signal being real, as is seen in the last line of the first picture:
, the exemplary spectrum of the signal shows neither an even real nor an odd imaginary part:
But from my theorems I ...
- 379
2
votes
0
answers
200
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How to get the quaternionic analytic signal of a image?
The 2D discrete image signal's quaternionic fourier transform can be described as F(u,v), and its 2D analytic signal often be described as:
$$
F_q(u,v) = (1 + \mbox{sgn}(u))(1 + \mbox{sgn}(v)) F(u,v) ...
- 21
12
votes
1
answer
18k
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What exactly is a complex envelope?
I have seen this be mentioned a couple of times in some books I read, so I want to make sure. Is the complex envelope simply the summation of the real and quadrature components of a signal, whereby ...
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