Questions tagged [orthogonal-signals]
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How can I know if these two signal are orthogonal to each other
So the question is to determine if this statement is true or false. The question can be seen below.
I know that two signals are orthogonal if their inner product is equal to 0. I know how this ...
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0answers
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Expectation of power spectrum for nonorthogonal wavelets
I'm working through "A Practical Guide to Wavelet Analysis" by Torrence and Compo, and I am confused about section 3d ("Wavelet Power Spectrum").
Let $x_n$ denote the signal, sampled at increments $\...
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1answer
34 views
Is it possible to spread signal using sum of more than one orthogonal code
I was wondering if we can spread the signal using more than one spreading code. Assume we have the Walsh code used to spread the transmitted signal, the Walsh code is, for example, gotten based on ...
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1answer
100 views
When Two Sampled Sinusoidal Are Orthogonal?
If two analog sinusoidal are orthogonal with duration T, their minimum frequency difference should be 1/2T in case of no phase offset between them.
And if there is phase offset, the difference is 1/...
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108 views
CDMA-DSSS with orthogonal codes and BPSK modulation: proper way to demodulate
I am having problems when demodulating the signal: If I demodulate the sequence chip by chip and then operate only with binary information the "integrate and dump" (correlator) sometimes will provide ...
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1answer
25 views
Are there analogues to orthogonal transformations in non-orientable surfaces?
I am working on extremely large, symmetric matrices of counts, and attempting to identify patterns/shapes within them. Wavelets are a popular tool in image processing, and have some nice statistical ...
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1answer
75 views
Temporal Orthogonality
I'm studying Digital Communication and I couldn't understand the relationship between temporal orthogonality and sampling theorem.
Definition of the Temporal Orthogonality is as follows:
$$\mathrm{...
2
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1answer
194 views
struggling to understand why Fourier basis is orthogonal
Studying DSP on my own time on Coursera.
Was given a proof to why the Fourier basis is orthogonal, but I can't figure it out. Here is how it is proof goes.
Consider the Fourier basis
$$
\left\...
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1answer
54 views
Does Hamming encoding preserve orthogonality?
The question I have is this-- if I have two binary vectors, i.e. $x_1, x_2 \in \mathbb F_2^k$ that are orthogonal, i.e. $x_1^T x_2 = 0$, and let's say I Hamming encode each of them separately with an $...
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1answer
844 views
Orthogonal basis of signal space and the projection of white noise
I am trying to make the relation between linear modulation and nonlinear one by using orthonormal expansion. The purpose is to understand what is orthonormal set in each case and to understand the ...
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1answer
99 views
Absolute maximum number of possible PN sequences for given length
I previously asked if it was possible to use encryption-grade randomness as a CDMA spreading sequence and learned that the codes must be orthogonal, not necessarily random.
I've tried different ways ...
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7answers
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When are two signals orthogonal?
The classical definition of orthogonality in linear algebra is that two vectors are orthogonal, if their inner product is zero.
I thought this definition might be applied to signals as well, but then ...
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3answers
382 views
Proving orthogonality
How to prove a cosine signal with irrational period and another cosine signal with a rational period are orthogonal?
For example, $\cos(4t)$ and $\cos(4\pi t)$ sum is aperiodic. Hence it is said that ...
