- K = 3 (i.e., there are three CUEs)
- M = 4 (i.e., the dimension of the transmitted signal is 4)
- d1 = 2, d2 = 3, d3 = 2 (i.e., the dimensions of the received signal for each CUE are 2, 3, and 2, respectively)
- ๐ป_๐๐ = [1.2 -0.3; 0.7 0.8] for all i โ j (i.e., the channel matrix between BS i and CUE j is a 2x2 matrix with specific values)
- ๐_๐ = [0.9 0.2 0.1 -0.1; -0.5 0.6 0.3 -0.2] for all i (i.e., the matrix representing the transmitted signal from BS i is a 2x4 matrix with specific values)
- ๐_๐ = [1; 2] for all i (i.e., the downlink data signal vector for each BS is a 2x1 vector with specific values)
- ๐_๐ ~ N(0, ฯ^2) for all i (i.e., the noise term for each CUE is a Gaussian random variable with mean 0 and variance ฯ^2)
numerical example in matlab.
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Please, I need to know numerical values can be given to the variables in this formula so that I can convert them into code.
Can you give me a numerical example please.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/964145/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/964150/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/964155/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/964160/image.png)
where ๐ฏ_๐๐ and ๐ฏ_๐๐ the channel matrix between ๐ฉ๐บ๐ and ๐ช๐ผ๐ฌ๐, CUEj (i, j โ {1, 2, . . . , K} , ๐โ ๐.
๐ฝ๐ of dimension ๐ ร ๐๐ and ๐๐ of dimension ๐ ร ๐๐ are ๐ฉ๐บ๐ and ๐ฉ๐บ๐ respectively,
si with dimension di ร 1 is the downlink data signal vector BSi
๐_๐ is additive white Gaussian noise.
this is an Inter-cell interference model and
is the signal received by user i
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/964165/image.png)
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Answers (1)
Eswaramoorthy
on 28 Feb 2023
Here is a numerical example. Let's say we have the following values:
Then, we can calculate the received signal for each CUE using the formula you provided:
๐ฆ_๐ = ๐ป_๐๐ ๐_๐ ๐_๐ + โ_(j=1,jโ i)^K ๐ป_๐๐ ๐_๐ ๐_๐ + ๐_๐
For example, if we want to calculate the received signal for CUE 1, we can plug in the values:
๐ฆ_1 = [1.2 -0.3; 0.7 0.8] [0.9 0.2 0.1 -0.1; -0.5 0.6 0.3 -0.2] [1; 2] + [1.1; -0.3]
This will give us a 2x1 vector representing the received signal for CUE 1. We can repeat this process for CUE 2 and CUE 3 to get the received signals for all CUEs.
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