how to build a channel fading model?

Hi,

I have 3000 IQ packets and I would like to augment them via κ -μ / inverse gamma composite fading channel. How can I do so while the channel model is not available in Matlab such as other channel models like WlanTgnChannel ??

Thank you,

Answer 1

[Balavignesh]

Hi Raya,

As per my understanding, you would like to augment 3000 IQ packets via κ -μ / inverse gamma composite fading channel.

I would suggest you create a custom implementation to simulate this channel model. You could generate κ -μ and inverse gamma random variables using the 'gamrnd' function. Then, you could apply fading to the IQ packets by multiplying the IQ packets with the fading coefficients obtained from the κ -μ and inverse gamma distributions.

The following code may help you understand this:

% Parameters for κ-μ distribution
kappa = 2;  % Shape parameter
mu_k = 1;  % Mean parameter

% Parameters for inverse gamma distribution
alpha = 2;  % Shape parameter
beta = 1;  % Scale parameter

% Example IQ packets
original_packets = randn(1, 3000) + 1i * randn(1, 3000);

% Generate fading coefficients for κ-μ distribution
fading_kmu = sqrt(gamrnd(kappa, mu_k^2/kappa, 1, 3000));

% Generate fading coefficients for inverse gamma distribution
fading_inv_gamma = sqrt(1 ./ gamrnd(alpha, 1/beta, 1, 3000));

% Apply fading to IQ packets
augmented_packets = fading_kmu .* fading_inv_gamma .* original_packets

Kindly have a look at the following documentation links to have more information on:

• 'gamrnd' function : https://www.mathworks.com/help/stats/gamrnd.html
• 'randn' function: https://in.mathworks.com/help/matlab/ref/randn.html

Hope that helps!

Balavignesh