Modulated Coding for Intersymbol Interference Channels - download pdf or read online

By Xiang-Gen Xia

ISBN-10: 0824704592

ISBN-13: 9780824704599

Summarizes the newest examine effects for mitigating intersymbol interference, introducing a brand new strategy known as modulated coding. Considers 3 circumstances in MC encoding and deciphering and studies mitigation equipment, detailing uncomplicated techniques on the topic of modulated coding. DLC: sign processing.

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0 0 : : : : : hN-2 hN-1 hg-3 hg-4 hN-2 hN-3 .... 12) 0 ho ho hi "’" and 0 0 hN-1 0 hN-2 hN-1 h2 h3 h~ h2 : : : : : 0 0 0 0 0 0 0 hN-1 Clearly Ho is invertible. 13) 0 This proves the following lemma. 3 Let H(z) be an ISI channel with F > 1 taps. If N >_ F, then H(z) -- Ho + z-~H1, and [tH = H~o Ho + H~HI 34 CHAPTER 2. MC: FUNDAMENTALS AND CODING GAIN 1 R1 R1 1 R2 R1 RN-2 RN-1 RN-3 RN-2 ’’’ RN-3 R3 R2 ... 14) 1 R1 ¯ " R1 R1 1 where, l < i < N-1, N-l-i Ri = E h~hi+p. 15) iS positive definite. 15), when F < N, it is clear that Ri = 0 for i = F,F 1,--- , N - 1.

WhenN = F+i and K = 3, we select g0,o, gr-l,0, go,l, gr-l,1, gi,2, gr+i-l,2 as non-zero real random variables with mean zero, and other elements of G as zeroes. 5. MORE RESULTS ON CODING GAIN 35 In this case, we have ( GU)%~t~( + 2Rr-lgo,lgr-~,~) +2gr-l,OUo(Rr-lgo,~ul + Rr-i-lgi,2u2 u~ + gr-l,~Ul + Rigr+i-l,2U2) +2go,lul(go,ouo + Rig~,2u2) + 2gi,~u2(Rigo,ouo + Rr-~-igr-~,lUl) +2Rr-~go,ogr-l,lUOUl + 2Rigr~-~,lgr+i-~,2u~u2. Let sign(go,ogr-~,o) = sign(go,~gr-~,l) = sign(g~,:gr+~_~,~) = sign(Rr_~), and ~gr-l,O] = ~go,~ = ~g~,~ ~ 0.

P are N by K constant matrices, be a rate KIN normalized MCwith N = F. Then, the coding gain 7Isl of the MCG(z) compared to the uncoded AWGN channel is upper bounded by: 7ISI ~__ Am~x(Ho~Ho + Hi, Hi), if G(z) = 7is, _< max{A.... (2HtoHo+ H~H~),A .... (HtoHo + 2H~HI)}, if G(z) GO -~- z-lG1; 7ISI <_ 2Amax(IttoHo+ H~IH1), otherwise, where ~ denotes the complex conjugate transpose, and Am~(A) denotes the maximumeigenvalue of matrix A. Proof. According to the trellis diagram and the randomness of the information vector sequence, we choose the correct path as all-zero path, T, and the input signal vector sequence with length P + 2 as (1, 1, 1,.

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Modulated Coding for Intersymbol Interference Channels by Xiang-Gen Xia

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