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Problem in Channel Estimation using Least Square Approach

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shekar1989

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I have pilots which are either +1 or -1, (bpsk modulated). I am using OFDM . After passing through rayleigh channel and than adding noise, i am trying to estimate thr channel. Simplest way is the least squared approach , do (Y/X) to get H_ls (least squared impulse response in freq domain).
note : this is done after doing fft in ofdm.

The problem is how do i know what the pilot is. Its either +1 or -1, but how do i know which one was actually sent. since the gains are complex, +1 sent could be received as -1 and -1 could be received as +1.

OR,
How do i simulate the least squared approach ? What should I take for X ?

Thanks
 

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