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I'm trying to simulate an OFDM following a few steps, and I'm stuck at the first:

The first step:

You have a channel with independent zero mean complex Gaussian taps along with exponentially decaying power profile E{|h_{k}|^{2}|}=e^{-k/3}with k ∈ [0,21]

First of all, does this notation E{|h_{k}|^{2}|}=e^{-k/3}mean that "the expected value of the channel gain/s is the variance σ=e^{-k/3}"? And is it σ^{2}or just σ?

And also, what are exactly the "taps"?

Anyway, I assumed the variance σ=e^{-k/3}, so here is my matlab code for the first step:

Code (Text):

N=22;

k=0:21;

sigma=exp(-k/3);

h=(rand(N,1)+j*rand(N,1))*sigma;

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# Simulating an OFDM channel

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