What is the Notation Used in Simulating an OFDM Channel?

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SUMMARY

The discussion focuses on simulating an Orthogonal Frequency-Division Multiplexing (OFDM) channel using MATLAB. The notation E{|hk|²|}=e-k/3 represents the expected value of the channel gain, where σ² is defined as e-k/3, indicating the variance of the channel taps. The term "taps" refers to the individual channel coefficients in the simulation. The user provides MATLAB code to generate these channel taps based on the specified variance.

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  • Understanding of Orthogonal Frequency-Division Multiplexing (OFDM)
  • Familiarity with complex Gaussian random variables
  • Knowledge of MATLAB programming
  • Basic concepts of statistical expectations and variances
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JasonHathaway
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Hi everyone,

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{|hk|2|}=e-k/3 with k ∈ [0,21]

First of all, does this notation E{|hk|2|}=e-k/3 mean that "the expected value of the channel gain/s is the variance σ=e-k/3"? And is it σ2 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:
N=22;
k=0:21;
sigma=exp(-k/3);
h=(rand(N,1)+j*rand(N,1))*sigma;
 

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