System and method for SSS detection under carrier frequency offset in an orthogonal frequency-division multiple access downlink channel

A method for obtaining a cell identifier in an orthogonal frequency-division multiple access (OFDMA) transmission, comprising:nreceiving a signal sample at a processor, wherein the signal sample comprises a primary synchronization signal (PSS) and a secondary synchronization signal (SSS);correlating at the processor each of a set of first known symbols with the PSS to generate a plurality of correlation “P†values;correlating at the processor each of a set of second known symbols with the SSS to generate a plurality of correlation “S†values;selecting at the processor a number “n†of “i†candidate phase rotations “exp(j*θi)†, where n>1;determining at the processor a correlation “C†value for each combination of the plurality of P values with the plurality of S values at each selected candidate phase rotation,for each combination of P and S values, selecting at the processor a maximum C value “Cmax†from among the determined C values, where Cmax is equal to

A method for obtaining a cell identifier in an orthogonal frequency-division multiple access (OFDMA) transmission comprising:nreceiving a signal sample at a processor, the signal sample comprising a number “R†instances of a primary synchronization signal (PSS) and instances of a secondary synchronization signal (SSS), each of the instances of the PSS in the signal sample being associated with one instance of the SSS in the signal sample, and the number R being greater than or equal to two;correlating at the processor each of a set of first known symbols with each of the instances of the PSS to generate a plurality of sets of “R†correlation “P†values “P1 . . . PR†;correlating at the processor each of a set of second known symbols with each of the instances of the SSS to generate a plurality of sets of “R†correlation “S†values, “S1 . . . SR†;selecting at the processor a number “n†of “i†candidate phase rotations “exp(j*θi)†, where n>1;generating at the processor a correlation “Ci†value for each combination of the sets of “P1 . . . PR†values with the sets of “S1 . . . SR†values at each candidate phase rotation, “i†, wherein Ci is a complex number equal tonCi=Abs(P1*exp(j*θ1)+S1)+ . . . ABS(PR*exp(j*θ1)+SR);nfor each combination of a set of “P1 . . . PR†values and a set of “S1 . . . SR†values, selecting at the processor a maximum Ci value “Cmax†from among the determined Ci values; anddetermining at the processor the cell identifier based at least in part on the first and second known symbols correlated with the instances of the PSS and SSS to generate the combination of the set of “P1 . . . PR†values and the set of “S1 . . . SR†values resulting in the selected Cmax having a maximum correlation energy.

A method for obtaining a cell identifier in an orthogonal frequency-division multiple access (OFDMA) transmission comprising:nreceiving a signal sample at a processor, wherein the signal sample comprises a primary synchronization signal (PSS) and a secondary synchronization signal (SSS);correlating at the processor each of a set of first known symbols with a first half of the PSS to generate a plurality of correlation “Pa†values;correlating at the processor each of the set of first known symbols with a second half of the PSS to generate a plurality of correlation “Pb†values;correlating at the processor each of a set of second known symbols with a first half of the SSS to generate a plurality of correlation “Sa†values;correlating at the processor each of the set of second known symbols with a second half of the SSS to generate a plurality of correlation “Sb†values;selecting at the processor a number “n†of “i†of candidate phase rotations “exp(j*θi)†, “exp(j*2θi)†, and “exp(j*3θi)†, where n>1;determining at the processor a correlation “C†value for a plurality of combinations of Pa values, Pb values, Sa values and Sb values at each of the candidate phase rotations for each combination of Pa, Pb, Sa and Sb values, selecting at the processor a maximum C value “Cmax†from among the determined C values, where Cmax is equal to