CRC-notes - C RC codes fav— error det’h.CRC(gaffe...

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Unformatted text preview: C RC codes fav— error det’h .CRC: (gaffe redundancy check ' derived “From cych‘c Codes) bu-i' are. dSuaLllg no+ Cych‘c f error de‘l‘ec‘h‘om important ‘For ARQ appll'CA‘I'thS (COMPu‘I’Qr hQ—I—works, AC‘SC drives) and o+h2r~ woke. 2x chlfc Code C Mac) _—> an Cooler (x) coo: amgoc) cm —> rm 2 (CK) + 90:) . F(K)_‘7 0? II'CRC codes are venj “*um ‘UAA VQY‘tj Q'F-Fec'f'i've I "the. Wicker +ex‘t Stad'es Tha-r ‘erj are. Shor'f‘eneol C'jch‘c Codes ——— bu't' They are more general Thom that {:23 p. 123 weaker 9.10;): (X”+ xz+ r) (x-H) a’zlocszlz) : 3,1 generad‘cs‘ shorten/ma at (0&3: (1047-1, 2035-4) . bu‘l" why Same! the! 0's? paxf+j wiH bQUhChQKQGd Sgst. cgclfc Code O]- n-k-: W \W m: K“! Same it parc'+3 bébSeV‘l/e "(ehafkenthfifl f cgcifc code ‘l‘o ob'l‘at‘n 4 CRC code, 4(30 Works: (W) k’) '—"— Mum”) (Some. #1? pari+3 Mag”) ': {-ke error def-ed?» +o cab—Pain CRC codes ,8 r {a r m a fecal! an p~ 70 no‘l‘es, we derived Pad: 04 — n .f... "V n- h ZAV ’8') (bl-P) ' bu‘f’ “the weigh-t spac‘l‘rum .Aw may be di-FFc‘Cr/H’ *0 _ ob'l'ain “the ‘Frac'h‘oh o'F undetec— ‘talofe error paT'fern; (p.53?) fla rated-ed Figure af‘ new”? Men'l'c‘oned m Wicker t”: the error Pa‘f'fern Coveraqg l. _ _ k- A—l-fid—l-j, ” ‘ Wicker (13+: Some 5+4. .CRC gen. Polgs and 9(1/(3 Some exacum Co Verage CalcuIQ‘HonS.’ oCRC-7 A: ’i1:.qq1'?é .CRC-ANSI A :1.- 1"":499fi81' . mo 3 2 A a l- 2""’=.q¢mqqq99 7;, tRC code: are ads 0 gaff-em e-F‘Fed‘i v0. wi'Hq bbrrt errorr: Er- ...000N***...*Noo... L,’_______.—J b N: non zero Symbol =5 fkere are (1—01. 2b-“; 0 differ-emf err-ov- burs-ts 0'? length 5 ‘Sources o-F burst error-5‘: . — hardware £0.12 (1‘: M Campy-rev- circuc'f'ry " MU H’f " pa‘rk ‘Fadina (h Mobfle Cohan channel: —- defects or adjacent frack (‘h'f'QV‘F-QVQMCQ 0” magn. rec. channefs, 104% atm coae Whase gen. poly. i: a? degree I; is Capable 0'? de+e¢fin$ 511 error burst o-F length r or 119:. (X133!) bgr) 73f. b e yx :; 80¢): XSEOCK.) wH‘A &9(90) 4 If“ : eo¢c and we'll be det‘d ' {eng'l‘lq V‘+l error burst: ‘an'l' aura unde'l‘ecf‘able are O-F. +ko. form «X5900, «#0, S: .u.)h—ru'. =: t1: undefec'l‘able pa'f-rerns (3‘ —. ('1': (9(3- ' U __ fie. um # a; (ugh H," e rror pqfi'erhs is (h—V‘)(7,-l)z 9r" ® air = I... (W*V‘)(?'*l) J” (n—rXfi—Ulfir" : I _ 7'"? o 6*" $9 “'— Consider First The burst error pa'l‘terh: «JPN. 60 :f: 0. The undefec‘l‘abfe ones wifl be. o'F'tke (arm: 8(1) : 6100' 9 CK) 7‘ f \ iegzb-J 1 deg b-r—l I deg V‘ >r~ acm— q x""" "" T0+ X +‘ +:b_r-' but finech awe. (fi-IY‘ 25'; oehfifl.‘ b bar-5T in fafif. including new file h—bu “snug shift: M: +52 em's which had eoqt-o, we have tang bu rsts ex cec'rz bdg'f'ec'f's a.“ burst: O'F (anew (7. or Icy: ’ de'l‘ed's 44.9?7, up all bursts- o‘F- (Chaf‘i r dq+€c+§ amen 7. 01¢ an arrow burst: at‘ (en7+A>I3 ...
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