Linear and Adaptive Delta Modulation
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New Jersey Institute of Technology Digital Commons @ NJIT Dissertations Electronic Theses and Dissertations Spring 5-31-1967 Linear and adaptive delta modulation John Edward Abate New Jersey Institute of Technology Follow this and additional works at: https://digitalcommons.njit.edu/dissertations Part of the Electrical and Electronics Commons Recommended Citation Abate, John Edward, "Linear and adaptive delta modulation" (1967). Dissertations. 1328. https://digitalcommons.njit.edu/dissertations/1328 This Dissertation is brought to you for free and open access by the Electronic Theses and Dissertations at Digital Commons @ NJIT. It has been accepted for inclusion in Dissertations by an authorized administrator of Digital Commons @ NJIT. For more information, please contact [email protected]. Cprht Wrnn & trtn h prht l f th Untd Stt (tl , Untd Stt Cd vrn th n f phtp r thr rprdtn f prhtd trl. Undr rtn ndtn pfd n th l, lbrr nd rhv r thrzd t frnh phtp r thr rprdtn. On f th pfd ndtn tht th phtp r rprdtn nt t b “d fr n prp thr thn prvt td, hlrhp, r rrh. If , r rt fr, r ltr , phtp r rprdtn fr prp n x f “fr tht r b lbl fr prht nfrnnt, h ntttn rrv th rht t rf t pt pn rdr f, n t jdnt, flfllnt f th rdr ld nvlv vltn f prht l. l t: h thr rtn th prht hl th r Inttt f hnl rrv th rht t dtrbt th th r drttn rntn nt: If d nt h t prnt th p, thn lt “ fr: frt p t: lt p n th prnt dl rn h n tn lbrr h rvd f th prnl nfrtn nd ll ntr fr th pprvl p nd brphl th f th nd drttn n rdr t prtt th dntt f I rdt nd flt. IEA A AAIE EA MOUAIO Y O EWA AAE A ISSEAIO ESEE I AIA UIME O E EQUIEMES O E EGEE O OCO O EGIEEIG SCIECE A EWAK COEGE O EGIEEIG h drttn t b d nl th d rrd t th rht f th thr. blrphl rfrn b ntd, bt p t nt b pd tht pr n f th Cll nd tht rdt bn vn n bnt rttn r pblhd r. r, r 6 brr r Cll f EnnrIn O MY WIE, MAY iii ASAC rlt r prntd ffrn nht nt th prfrn nd ptztn f lnr nd dptv dlt dltn, tthr th prn th pl d dltn. h rlt r ppld t thr f prtl prtn: tlvn, ph, nd brd bnd nl. h rlt prntd n b rpd nt th flln thr tr. rt, prfrn hrtrztn f lnr dlt dltn (M vn. Wth th d f rtn prl brvtn d fr ptr ltn, ld fr xprn r fnd fr rnlr n, vrld n, nd n ntztn n pr. h rlt pr t th prdtn f th pt prfrn btnbl fr M t vr bnddth xpnn ftr vl fr n l f nl. A dfnd ntt lld th lp ldn ftr fll pld n th hr trztn f M prfrn. It hn tht th lp ldn ftr nrlzn vrbl hn d t drb S Q prfrn. h pt prfr n f M th nl h tlvn nd ph hvn n ntrtd ptr xd tht th brd bnd nl hvn nfr ptr. It l fnd v tht M prfrn btnd th Gn nl pltd prbblt dnt ntll th tht btnd th n xpnntl dnt. Snd, th dvnt t b nd hn dptv ntrl ntrdd nt th M t r nvt td. If th nl nbl nnttnr, pndn fntn rrd. It hn tht th b prvdd n M t b frn th tp z t rpnd dptvl t hn n th drvtv f th npt nl. Adptv M t thr drt r ntn fr. It hn tht drt dptv M d nt rf pt lnr M pr frn t hv pndn, nd frthr tht lr vl f pndn prvnt r pbl. f th nnttnr ntr f tlvn nd ph nl, t nldd tht dptv M ppr bttr td thn lnr M t h nl. nll, lnr M hn t b pl f drt dptv M. hrd, th n prfrn f CM th Gn nd xpnntl nl dnt prntd tthr th prn btn M nd CM fr tlvn, ph, nd brdbnd nl. It hn tht th hrtrt fr f th prfrn f CM nd M r lr hn th ndpndnt vrbl r th pltd ldn ftr nd lp ldn ftr rptvl. h fft f lrth pndn nd nl pltd ltn n CM prfrn r nvttd. It h bn fnd tht dptv M ppr pbl f rlzn lrr pndn prvnt thn CM, nd tht pltd ltn n CM th ntr rt f lp ltn n M. r tlvn nl, t nldd tht M prvd rtr x S prfrn thn CM fr vl f th bnddth xpn n ftr l thn ht. r ph nl, t nldd tht th prfrn f drt dptv M th bnddth xpnn ftr vl f fr nd fnl n ftr vl f nl ht pprxtl th tht f pndd CM th prn pr tr vl f n hndrd. r brdbnd nl, t nldd tht th prfrn f CM prr t tht f M. nll, b f th plx ntr f tlvn nd ph ntn, t nldd tht bjtv tt r ndd bfr frthr nln rrdn th prfrn dvnt f drt dptv M n b rhd. r n brdnt f th trl n th drt tn, th rdr rfrrd t ppr f th ttl, rttn b th thr, pprn n th r dn f th IEEE, Mrh, 6. AOA O ISSEAIO IEA A AAIE EA MOUAIO Y O EWA AAE O EAME O EECICA EGIEEIG EWAK COEGE O EGIEEIG Y ACUY COMMIEE AOE: , CAIMA EWAK, EW ESEY UE, 6 v ACKOWEGMES h thr ndbtd t r. dln, rfr n Eltrl Ennrn fr h dv nd ntrtv ntr drn th r f th n vttn. l h t v nldnt t th flt f th prtnt f Eltrl Ennrn, r Cll f Ennrn fr n hlpfl tn, nd t thn h n t t ll l phn brtr, Inrprtd, h drn th pt fr r hv prvdd n tltn dn. rtlr thn r vn t . Ol nd W. l. h fnnl pprt f ll lphn br tr, Inrprtd, rtfll nldd. v AE O COES EICAIO ASAC iii ACKOWEGMES • v IS O IGUES x IS O AES xv I. IOUCIO 1 2. IEA EA MOUAIO (M, A QUAIAIE ISCUSSIO 9 2. St rptn nd rfrn 9 2.2 Cprn Wth l Cd Mdltn (CM 6 . IEA M, A EOMACE CAACEIAIO A OIMIAIO 2 . Slp dn tr fnd 2 .2 Qntztn r 22 . Appltn t lvn, Sph nd rdbnd Snl 0 .4 n f lt 39 4. AAIE M, A QUAIAIE ISCUSSIO 42 i x AE O COES (Ct . ISCEE AAIE M 2 . rlzd Slp dn tr fnd. 2 .2 Qntztn r 53 . Sltn f nl nd Intrdt Gn tr 57 .4 Appltn t lvn, Sph nd rdbnd Snl 6 . n f lt 8 6. COMAISOS WI USE COE MOUAIO (CM 79 6, Gnrl 79 6.2 Qntztn r f CM 82 6. Appltn t lvn, Sph nd rdbnd Snl 97 . COCUSIOS 0 8. ECOMMEAIOS 4 AE O COES (Cnt AEICES A. IS O SYMOS A AEIAIOS 117 . M QUAIAIO OISE OWE EIAIOS 22 C. CM QUAIAIO OISE OWE EIAIOS 6 . COMUE SIMUAIO O IEA A AAIE M 4 EEECES 62 IA 68 x IS O IGUES IGUE AGE UME IGUE IE UME 2 lt Mdltn St Wth Snl Intrtn 0 22 Wvfr f M St Wth Snl Intrtn 2 2 M Wvfr Wth r Stp Sz 13 24 nr M Qntztn r 15 3-1 ltnhp tn nd 6 n nr M t Mn Qntztn 28 "2 Opt rfrn f nr M 2 3-3 S rfrn f nr M Wth Q Unfr Snl Sptr 33 3-4 Mx S Iprvnt f Intrtd Q Sptr ltv t Unfr Sptr 6 4 rt Adptv M St 4 42 Cntn Adptv M St 46 4 Wvfr f rt Adptv M St 48 x IS O IGUES Cnt( IGUE AGE UME IGUE IE UME 4-4 rt Adptv M Qntztn r 0 5-1 S rfrn f rt Adptv M, Wth Unfr Snl Sptr = 8, K = 4, nd r Cptr Sltd l f Ki, Gn nt 60 2 S rfrn f rt Adptv Q M, Wth lvn Snl Sptr = 8, K. = 6 5 - 3 SQ rfrn f rt Adptv M, Wth lvn Snl Sptr = 8, K. i 64 5-4 S rfrn f rt Adptv Q M, Wth Sph Snl Sptr = 8, K. = 0 1 5 - S rfrn f rt Adptv 5 Q M, Wth Sph Snl Sptr = 4, K, = 71 x IS O IGUES (Cnt IGUE AGE UME IGUE IE UME 6 SQ rfrn f rt Adptv M, Wth Unfr Snl Sptr = 8, K. = 7 6 5-7 S rfrn f rt Adptv Q M, Wth Unfr Snl Sptr E = 8, K. = 77 6 SQ rfrn f CM Wth Gn Snl nt nd Unfr Qntzr 8 62 SQ rfrn f CM Wth Expnn tl Snl nt nd Unfr Qntzr 86 6 S rfrn f CM Wth rth Cpndn, 4 = 00 Gn Snl nt 0 6-4 S Q rfrn f CM Wth rth Cpndn, 4 = 00 Expnntl Snl nt 91 x v IS O IGUES (Cnt IGUE AGE UME IGUE IE UME 6-5 S rfrn f CM Wth Apltd tn, = 4 Gn Snl nt Unfr Qntzr 95 66 SQ rfrn f CM Wth Apltd tn, = 4 Expnntl Snl nt Unfr Qntzr 6 6 Cprn f M nd CM Opt rfrn ntn f th nddth Expnn tr, r lvn Snl 8 6-8 SQ rfrn f nr M, Adp tv M, nd CM Wth Unfr Qntzr, ll Wth Apltd tn t = 0, fr lvn Snl, = 8 00 6 Cprn f Cpndd CM nd rt Adptv M Sph Snl, = 4 nt r Adptv M C ptr Sltn Ki Kn = 8 0 XV IS O IGUES (Cnt IGUE AGE UME IGUE IE UME 6-10 S Q rfrn f CM Wth rth Cpndn, 4 = 00 Expnntl Snl nt, = 4 nt r Adptv M Cptr Sltn, K1 1, Kr = 8 04 6-11 Cprn f M nd CM Opt rfrn ntn f th nddth Expnn tr, fr rdbnd Snl 0 62 S rfrn f Adptv M, Q =6,Kn=64,K = , nd CM Wth rth Cpndn, = 00, = 6 fr rdbnd Snl 08 l M Grnlr rbblt nt ntn nd r Sptr 2 xv IS O IGUES (Cnt IGUE AGE UME IGUE IE UME 2 SO rfrn f nr M Wth Unfr Snl Sptr Crv Ob tnd r Etn (20, nt r Cptr Sltn, = 8, Gn Snl nt 0 B3 S Q rfrn f rt Adptv M, Wth Unfr Snl Sptr., = 8, K - = 8 Aptt Obtnd r bl l, nt r Cptr Sltn, Gn nt, K.