Signal Processing Stack Exchange
Signal Processing Stack Exchange

Questions tagged [complex]

165 questions
4
votes
2 answers

What are imaginary signals?

Reading about complex signals, I learn a phasor is composed of real and imaginary components as $e^{2\pi j \cdot \omega}$ and $e^{2\pi ⁻j \cdot \omega}$. Why is this? How can a signal be imaginary?
aitía
  • 143
  • 1
  • 6
3
votes
3 answers

Discontinuity in the angle of a complex exponential signal

Plotting this complex expontential: $$z[n]=100e^{j0.1n},\quad\text{we have a discontinuity at}\quad \arg[n]=10\pi$$ I guess this is related to the angle formula: $$\theta=\arctan\left(\frac{\Im\{z[n]\}}{\Re\{z[n]\}}\right)$$ But I do not quite see…
Freeman
  • 143
  • 3
2
votes
0 answers

Are real exponential signals still eigen functions of LTI systems?

I know that complex exponentials are eigen functions of LTI systems for example $e^{j2t}, e^{-j5t} , e^{j8t}$ . If we can define complex exponential as $e^{st}$ where $s$ is a complex number. Can we say that $e^t,e^{2t},e^{(2-j4)t}$ are still…
HKTS
  • 21
  • 1
1
vote
2 answers

Fractional powers of complex numbers (DSPrelated computation)

I am puzzled by this computation: https://www.dsprelated.com/showarticle/754.php (c.f. quote) Raising $ i $ to integer powers results in traversing the unitcircle in the same number of quarter turns. The next question that arises naturally is if…
SheppLogan
  • 683
  • 8
  • 22
0
votes
0 answers

Problem using BladeRF using two RX inputs

I am working with BladeRF xA4. I have a signal generator at 1.5GHz modulated with cos(2pif_mt)+jsin(2pif_m*t). This generator is conected to a signal splitter. Next to the splitter two cables are connected to two inputs of the BladeRF. I acquired…
Luis Gonçalves
  • 1
  • 1
0
votes
1 answer

find gamma from complex form?

In $$e^{j\pi/\gamma x}=c$$ if $x$ and $c$ are known, how to find $\gamma$ since if we break to sine and cosine term the problem becomes more complicated. This is a complex value and $j$ indicates complex value.
budding_scholar
  • 35
  • 4
0
votes
2 answers

How to convert wave from real to complex and vice versa?

I have wave expressed by array of real numbers (double in C++). But I want to express it as a complex. I tried to create complex variable and assign to its real the array of my wave and to its imaginary just array of zeros. OK it's complex now. But…
pajczur
  • 359
  • 3
  • 11