I am working in OFDM based Cognitive radio spectrum sensing techniques. I am facing finding in correlation vector at the receiver. The vector is given by
R =[ R0, R1, . . . , RNc+Nd−1]T
Hello,
could you give some more details please? Otherwise, a correlation vector is assessed by the correlation of a vector X and Y, or the autocorrelation of the vector X, i.e.
R[m] = sum_{k} X[k]X[m+k]*
Best
Thank you very much for your reply,
I am implementing the paper titled "Improved spectrum sensing for OFDM
Cognitive radio in the presence of timing offset" attached below.
Please refer to section "Optimal CP detector" and equation 15. Can you help me in this regard?
From my opinion, everything is clear in this paper: The elements R[i] of the vector of autocorrelation R are given in (5).
Consider a received OFDM signal y_{m}, each element R[i] is the sum on j for j=0 to the number of samples in the CP of
sum_{m} y_{m}[i+j]y*[i+j+N_d]
Take time average of the x(n).x(n+k). It will give the correlation. Then formulate the auto correlation matrix. OR formulate the cross correlation matrix between received signal and transmitted signal. Value 1 means highly correlated and o means no correlation between two symbols. Refer the book Statistical signal processing by Manson Hayes
All the best
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