Questions tagged [orthogonal-signals]
The orthogonal-signals tag has no summary.
33 questions
0 votes
0 answers
10 views
OFDM invalid packets, filtering problems in GNU Radio
I've been working on a custom OFDM implementation and I'm getting a lot of ...
3 votes
0 answers
60 views
Rounding errors in best linear approximation of a system
I am working on the orthogonal decomposition of a signal to compute the best linear approximation of a system. Given an input signal $x[n]$ and system output $y[n]$, the output can be decomposed into ...
- 41
2 votes
1 answer
71 views
Do all phase quadrature signals form orthogonal pairs with their in-phase versions
I have been studying analog modulation, in that i found a concept of quadrature carrier multiplexing which says that two baseband signals with possibly different bandwidths can be modulated to occupy ...
- 109
1 vote
2 answers
164 views
What's a Normalized function?
I'm studing Representations of Random Processes and the book talks about Orthonormal functions, but doesn't make it clear what is it. I was able to realize that a set of functions are orthonormal if ...
- 137
1 vote
1 answer
288 views
Finding set of orthogonal basis functions for composite signals
I've been given a list of 5 composite signals, where each is composed of 10 sinusoids of different frequencies. For instance, the first composite signal $S_1$ is given by $$ S_1 = \sum_{i=1}^{10} A_i \...
- 111
2 votes
1 answer
523 views
How to prove a train of sinc pulses in digital communicaton system are orthogonal to each other?
Consider a train of sinc pulses: $$\phi_n(t)= \frac{\sin(\omega_M(t-nT_s))}{\omega_M(t-nT_s)}\quad; n=0,\pm1,\pm2,\dots$$ $\quad$where,$\quad T_s=\frac{\pi}{\omega_M}$ Now ,in order to show sinc ...
- 287
1 vote
1 answer
101 views
How $\Delta f=\frac{1}{2T}$ satifies the orthogonality condition?
Let $$s_{ml}(t)=\sqrt{\frac{2E}{T}}\exp(j2\pi\Delta fmt)$$ where $T$ is the time-period of signal $\Delta f$ is the frequency spacing The text says that two signals $s_{ml}(t)$ and $s_{nl}(t)$ are ...
- 195
0 votes
0 answers
89 views
How can we generate an orthogonal sinusodial signal to any other signal?
I have three signals which are \begin{align} A&=\cos\left(2\pi ft + \frac \pi2\right)\\ B&=\cos\left(2\pi ft\right)\\ C&=\cos\left(2\pi ft + \frac {5\pi}4\right) \end{align} What i need ...
- 1