Questions tagged [orthornormal]
The orthornormal tag has no usage guidance.
7
questions
4
votes
1answer
836 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 ...
1
vote
2answers
286 views
The inverse of an orthogonal matrix is its transpose
In the following statement I don't understand the case for $\ i = j$:
Let $\mathbf A$ be an $\ m \times \ n$ orthogonal matrix where $\ a_i$ is the $\ i^{th}$ column vector. The $\ ij^{th} $ element ...
1
vote
1answer
735 views
Obtaining normalized matrix for the Haar Wavelet Transform
I've been reading this article: http://aix1.uottawa.ca/~jkhoury/haar.htm which explains the Haar Wavelet Transform.
At a certain point, the author says:
... Since the transformation matrix $W$ is ...
1
vote
2answers
67 views
What's the meaning of the continuity in spectrum analysis? [closed]
We all know that for any, suitable, kind of signal $f(t)$, there corresponds a Fourier transform function $F(j\omega)$ such that
$$
f(t) = \frac{1}{2\pi} \int_{-\infty}^{+\infty} F(j\omega) e^{i\...
1
vote
2answers
5k views
How to find orthonormal basis function in the following digital communication problem?
I'm trying to express the following set of signals on orthonormal basis functions. These signals are to be transmitted using a 4-ary modulation scheme.How do i write ψ1(t)and ψ2(t) for the same. Also ...
2
votes
2answers
758 views
How to calibrate three orthogonal cameras？
I am trying to find out intrinsic parameters(focal length ,principle point,and lens distortion coefficients)as well as the extrinsic parameters(rotation and translation of each camera relative to the ...
0
votes
1answer
161 views
Orthornormal Wavelet scaling function coefficient calculation (filter design)
I stumbled upon an equation system as shown in the image below while designing an orthonormal wavelet filter. I tried solving the equation (5.63,5.64,5.65 => 5.66) but no avail. I'm not sure if there'...
