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- 2nd December 2016, 15:47 #1

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## signal received by a node j in wsn

Hi all,

I want to know what is the formula of received signal by node j separed by distance d from a source i in wsn.

sometimes I find this formula: yij=hij * x+nij

in another yij=sqrt(p * gamma)* hij*x+nij ; where p is the source transmit power and gamma is the pathloss

another formula is yij=sqrt(p) * hij * x+nij ; where p is the source transmit power

I'm confused please can someone help me , thanks.

- 2nd December 2016, 15:47

- 16th December 2016, 16:11 #2

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## Re: signal received by a node j in wsn

They are all valid for analysis purposes. Usually, if you say that x has normalized power, then you include sqrt(p), such that the signal-to-noise ratio (SNR) is P/N, where N is the noise power. Some like to make it more practical by including the pathloss, but I think unless the analysis is about the pathloss, and shadowing effect, it's not necessary to be included. It's just a scaled factor in RF channels.

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