Simulink filter using frequency response transfer function

2014 10 21
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更新时间：2024 9 25
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Hi,
My main problem is this: I'm building a fiber optical communication system using simulink.
As a source, I use a bernoulli generator, then this signal runs to a low pass filter and the exit is the signal equivalent to a signal that comes off a led, so the emission part is done.
The problems begins at the transmission channel. I want to do a filter that simulates the dispersion effect in the fiber (only chromatic dispersion), but I don't know how. I only have a transfer functions like exp(-j*alpha*f.^2) and I don't know what to do with this. What's the right procedure to implement this kind of t.f. in a analog filter at the simulink?
Any help is welcome.
Kind regards

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Rick Rosson
Rick Rosson 2014-10-21
编辑：Rick Rosson 2014-10-21

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Here's a start:
beta = alpha/(2*pi)^2;
omega = 2*pi*f;
phi = -beta*omega.^2;
groupDelay = -2*beta*omega;
figure;
plot(f,groupDelay);
Fs = 2*max(f);
N = length(f);
spec = fdesign.arbgrpdelay(N,f,groupDelay,Fs);
chan = design(spec,'iirlpnorm','MaxPoleRadius',0.95);
fvtool(chan,'Analysis','grpdelay');

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Francis
Francis 2014-10-23

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First let me thank you for answering, but I remain with some doubts.
Here the alpha that you speak is the attenuation? Because the alpha that I refer is a constant equals to pi^2*beta2*L, where L is the link distance, and beta2 is the group velocity delay.. And yes, I have all the toolbox of the simulink.

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Yuang
Yuang 2024-9-25
Hi,
May I ask how did you simulate the chromatic dispersion in simulink eventually? Thanks!
Best.

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