Multi-Carrier and Spread Spectrum Systems: From OFDM and MC ...

Symbols 351ssymbol vector before OFDMs (k)symbol vector of user k before OFDMS llth element of the vector ssinc(x)sin(x)/x functionttime/number of error correction capability of an RS codeTsource symbol durationT cchip durationT ddata symbol durationT frOFDM frame durationT gduration of guard intervalT sOFDM symbol duration without guard intervalT s′OFDM total symbol duration with guard intervalT sampsampling rateudata symbol vector at the output of the equalizerU llth element of the equalized vector uvvelocityv (k)soft decided value of the data symbol d (k)v (k)soft decided value of the data symbol vector d (k)V guardloss in SNR due to the guard intervalV pilotloss in SNR due to the pilot symbolsw (k)soft decided value of the code bit b (k)w (k)soft decided value of the code bit vector b (k)w npower normalization factor on subcarrier nx(t)transmitted signalX(f)frequency spectrum of the transmitted signaly(t)received signalαroll-off factorβprimitive element of the Galois fieldƔlog-likelihood ratioδdelay 2 (. , .)squared Euclidean distanceθcross-correlation functionSPC thresholdσ 2variance of the noiseτdelayτ pdelay of path pφauto-correlation functionϕ pphase offset of path paverage power(.) H Hermitian transposition of a vector or a matrix(.) T transposition of a vector or a matrix(.) −1 inversion(.) ∗ complex conjugation|.| absolute value||.|| norm of a vector⊗convolution operation/Kronecker product