Borrar filtros
Borrar filtros

How to implement the given equation in MATLAB?

3 visualizaciones (últimos 30 días)
chaaru datta
chaaru datta el 10 de Mayo de 2022
Comentada: chaaru datta el 13 de Mayo de 2022
I am studying the following equation:
here is vector of QPSK symbols, belongs to , is a random complex number, is vector and n ranges from 1 to N. Also note that I have all these values.
My query is how to implement this equation (1) in MATLAB.
Any help in this regard will be highly appreciated.
  3 comentarios
Sam Chak
Sam Chak el 10 de Mayo de 2022
Editada: Sam Chak el 10 de Mayo de 2022
It is important to understand that is NOT an equation. It is more like a problem to be solved.
Mathematically, it implies the value of x for which attains its minimum.
In your case, you should find the solution that is in the set of values .
I understand that this kind of problem can be difficult to understand for people who are not familiar with the math notations. I took a long time to get familiar with them because I don't have a Math Degree and they are often found in academic journal papers involving mathematical optimization problems.
Would suggest you to type out the values of all paramaters.
Not many people understand that QPSK stands for Quadrature Phase Shift Keying.
chaaru datta
chaaru datta el 12 de Mayo de 2022
Thank you so much sir for your reply..... I am sharing the values of all parameters by assuming n to be ranging from 1 to 8.
.

Iniciar sesión para comentar.

Respuesta aceptada

Sam Chak
Sam Chak el 12 de Mayo de 2022
Thanks @chaaru datta. But the data you shared are non-copyable because they are images.
You can click the MATLAB code button and dump the data there.
Anyhow, you can try this simple method to find the value that gives the minimum. I copied only 3 sets of data pairs only, but you should get the idea how to do it.
Psi = -0.06-1.16i;
ym = [-0.41+0.41i 0.54-0.58i -0.62-0.71i]
sm = [0.70+0.70i -0.70-0.70i -0.70+0.70i]
fcn = (abs(Psi*ym - sm)).^2
[fmin, idx] = min(fcn)
sm(idx)
  6 comentarios
Sam Chak
Sam Chak el 13 de Mayo de 2022
Please note that sm has some repeated values.
Psi = -0.06-1.16i;
ym = [-0.41+0.41i, 0.54-0.58i, -0.62-0.71i, 0.64+0.56i, -0.70+0.75i, 0.68-0.60i, -0.54-0.55i, 0.43+0.79i];
sm = [0.70+0.70i, -0.70-0.70i, -0.70+0.70i, 0.70-0.70i, 0.70+0.70i, -0.70-0.70i, -0.70+0.70i, 0.70-0.70i];
fcn = (abs(Psi*ym - sm)).^2
[fmin, idx] = min(fcn)
sm(idx)
chaaru datta
chaaru datta el 13 de Mayo de 2022
Yes sir ...."sm" has some repeated values because its a QPSK signal and hence first four values are unique and after that same 4 values will be repeated.

Iniciar sesión para comentar.

Más respuestas (0)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by