Cambridge LTE For 4G Mobile Broadband

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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).

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