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Extra info for Cambridge LTE For 4G Mobile Broadband
H (N − 1) are different as is the case in a multi-path frequency-selective channel. The received modulation symbols estimates are then given as: Xˆ (0) Xˆ (1) .. Xˆ (N − 2) Xˆ (N − 1) |H (0)|2 0 ··· 0 0 2 |H (1)| 0 ··· 0 0 .. .. .. = . . . 0 0 0 · · · |H (N − 2)|2 |H (N − 1)|2 0 0 ··· 0 X (0) Z (0) X (1) Z (1) .. × . + X (N − 2) Z (N − 2) X (N − 1) Z (N − 1) Xˆ (0) |H (0)|2 X (0) Z (0) |H (1)|2 X (1) Xˆ (1) Z (1) ..
N −1) j2πk / N k=0 (N −1) |H (k)|2 e−j2π k / N ... |H (k)|2 e j2π k(1−N )/ N k=0 (N −1) 2 j2π k(2−N )/ N |H (k)| e . k=0 . . . 71) We note that this operation is not orthogonal which would result in inter-modulation-symbol T interference. The estimates xˆ = xˆ (0), . . , xˆ (NFFT − 1) of time-domain data symbols are given as: (N −1) (N −1) x (0) |H (k)|2 + x(1) |H (k)|2 e−j2πk / N k=0 k=0 (N −1) + . . + x (N − 1) 2 j2πk(1−N )/ N |H (k)| e k=0 (N −1) (N −1) xˆ (0) 2 j2πk / N 2 |H |H e (k)| + x (k)| x(1) (0) k=0 k=0 xˆ (1) (N −1) 1 = 2 j2πk(2−N N ) / N + .
D. Rayleigh fading channel, the fading is independent from one subcarrier to the other subcarrier and is representative of a case with a very large number of multi-paths. 5 dB at very large SNR. 40). 36 dB, for ρsc = 0, 10, 20 dB respectively. 36) and refer to it as capacity with frequency FSI : selective interference (FSI), COFDM FSI = 1− COFDM Ts · 1 Nsc Nsc log2 1 + i=1 |Hc (i)|2 ρsc f × |Hint (i)|2 × ρsc + 1 [b/s/Hz]. 46) By frequency selective interference we mean that the interference channel is frequency selective with the varying channel gains Hint (i).