# MMSE channel estimation

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#### mr_byte31

##### Full Member level 5
Dear All,

I am searching for derivation for channel estimation for MMSE
i got that equation H_MMSE = FR_hY R_−1 Y
but i don't know how to apply it to an OFDM system
so it is more better to understand how it was derived
so can any body help me with data to read or any info

#### jazzi

##### Newbie level 3
I have a code for LS and MMSE estimator but I am not able to understand derivation of MMSE estimator if you want it I will upload it. Can you give me
help on understanding how to find autocovariance of channel matrix

#### mr_byte31

##### Full Member level 5
i don know how to use it but i don't know how it was derivatived still waiting for help

for the correlation mattrix it is very easy
Code:
R_HH = is correlation square  matrix initialize it with zeros
impulseResponse = is a row matrix
get impulse response for a channel : impulseResponse
frequencyResponse = fftshift(fft(impulseResponse));

y = frequencyResponse  .' ;

R_HH =  R_HH  + y * y' ;

make a loop on it lets say 100 iteration then have fun

#### jazzi

##### Newbie level 3
please see this matlab code can you tell me how Rgg is calculated what steps and why they are taken to calculate Hmmse I'm facing difficulty in understanding them if you are find some other way to understand please let me know. your help is appreciated thanks

#### mr_byte31

##### Full Member level 5
ok but very busy now
wait

#### mr_byte31

##### Full Member level 5

u will find some info at angelosebastianelli reply

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