New answers tagged

2 votes

Orthogonal signals basics

If you have the signal $x(t) = x_1(t) \cos \omega t + x_2(t) \sin \omega t$ then -- assuming that $x_1$ and $x_2$ are real-valued, and they have bandwidth significantly lower than $\omega$ -- you can ...
TimWescott's user avatar
  • 12.5k
3 votes

Orthogonal signals basics

No, clearly not. Because if you "add them up", you get $x_1+x_2$, and not $x_1+jx_2$.
sina bala's user avatar
  • 151
2 votes
Accepted

Shot noise at an imaging system - is it white?

Going back to the physical problem: You send $N$ photons within some fixed timeframe $\Delta t$. The number of these photons has the variance as you describe it in your question. However, after light ...
Marcus Müller's user avatar
0 votes

Confusions regarding differences between Fourier transform & Laplace transform?

The answer to your second question - whether the Fourier transform can capture transient or just steady-state behavior - is rather subtle. As long as the transient behavior has a Fourier transform, ...
tparker's user avatar
  • 111
0 votes

When discretizing a stochastic signal , are there random variables independent of those that follow in time and dependent on previous ones in time?

If $x$ and $y$ are random variables then they are either mutually independent or they are mutually dependent -- if $x$ depends on $y$ then $y$ depends on $x$. Normally stochastic processes are modeled ...
TimWescott's user avatar
  • 12.5k

Top 50 recent answers are included