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Log-normal shadowing and mean power

Let's assume I'm receiving a signal with power measured in dBm shadowed according to the normal distribution, i.e. $P_{\text{dBm}} \sim N(0,1) $. If there is also a normally distributed noise power $ …
Mundo's user avatar
  • 171
2 votes

Log-normal shadowing and mean power

I guess that the confusion was exactly that $$ \mathbb{E}[10^{P_\text{dBm}/10}] \neq 10^{\mathbb{E}[P_\text{dBm}]/10}. $$ Even though the expected dBm under normally distributed shadowing would be $0$ …
Mundo's user avatar
  • 171
3 votes
3 answers
114 views

$\frac{\mathbb{E}[P]}{\mathbb{E}[N]}$ vs. $\mathbb{E}\left[\frac{P}{N}\right]$

This is a very simple question arised from my considerations in here: Log-normal shadowing and mean power. I have understood that SNR is often defined as $$\frac{\mathbb{E}[P]}{\mathbb{E}[N]},$$ but w …
Mundo's user avatar
  • 171
3 votes
Accepted

The transmission distance of a signal

In principle, you can always test your channel and adjust your power according to the channel state before sending any signal. Each channel is always unique regardless of being in a city or in more op …
Mundo's user avatar
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