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nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? 2 _______________________________________________________________________________________ absolute maximum ratings electrical characteristics (v avin = v pvin_ = v dvdd_ = 3.3v, v pgnd_ = v sgnd_ = 0v, r t = 25k , and t a = t j = -40c to +125c, unless otherwise noted. typical values are at t a = +25c.) (note 3) stresses beyond those listed under absolute maximum ratings may cause permanent damage to the device. these are stress rating s only, and functional operation of the device at these or any other conditions beyond those indicated in the operational sections of the specificatio ns is not implied. exposure to absolute maximum rating conditions for extended periods may affect device reliability. note 1: lx_ has internal diodes to pgnd_ and pvin_. applications that forward bias these diodes should take care not to exceed the ics package power dissipation. note 2: package thermal resistances were obtained using the method described in jedec specification jesd51-7, using a four- layer board. for detailed information on package thermal considerations see www.maxim-ic.com.cn/thermal-tutorial . avin, pvin_, dvdd_, en_, fb_, rt, sel to sgnd .........................................................-0.3v to +6v comp_ to sgnd .....................................-0.3v to (v avin + 0.3v) pgnd_ to sgnd ...................................................-0.3v to +0.3v lx_ current (note 1) regulator 1...............................................................................6a regulator 2...............................................................................3a current into any pin other than pvin_, lx_, and pgnd_ ..............................................................50ma continuous power dissipation (t a = +70c) 28-pin tqfn (derate 34.5mw/c above +70c) .....2758.6mw junction-to-case thermal resistance ( jc )(note 2) .........2c/w junction-to-ambient thermal resistance ( ja )(note 2) ..29c/w operating temperature range .........................-40c to +125c maximum junction temperature .....................................+150c storage temperature range .............................-60c to +150c lead temperature (soldering, 10s) .................................+300c parameter symbol conditions min typ max units system specifications input-voltage range v avin = v pvin1 = v pvin2 = v dvdd1 = v dvdd2 2.5 5.5 v undervoltage lockout threshold avin rising 2.1 2.2 2.3 v undervoltage lockout hysteresis 0.12 v operating supply current v en_ = 1.3v, v fb_ = 0.8v 3.5 6 ma shutdown supply current v en_ = 0v 20 65 a pwm digital soft-start/soft-stop soft-start/soft-stop duration 4096 clock cycles reference voltage steps 64 steps pwm error amplifiers fb1, fb2 input bias current -1 +1 a fb1, fb2 voltage set-point 0.593 0.599 0.605 v comp1, comp2 voltage range i comp _ = -250a to +250a 0.3 v avin - 0.5 v error-amplifier open-loop gain 80 db error-amplifier unity-gain bandwidth 12 mhz power mosfets reg ul ator 1 p - c hannel m o s fe t r d s on v dvdd1 = 5v 50 90 m reg ul ator 1 n- c hannel m o s fe t r d s on v dvdd1 = 5v 30 50 m regulator 1 gate charge v dvdd1 = 5v 8 nc maximum lx1 rms current 4a reg ul ator 2 p - c hannel m o s fe t r d s on v dvdd2 = 5v 100 180 m reg ul ator 2 n- c hannel m o s fe t r d s on v dvdd2 = 5v 60 100 m regulator 2 gate charge v dvdd2 = 5v 4 nc maximum lx2 rms current 2a
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? _______________________________________________________________________________________ 3 electrical characteristics (continued) (v avin = v pvin_ = v dvdd_ = 3.3v, v pgnd_ = v sgnd_ = 0v, r t = 25k , and t a = t j = -40c to +125c, unless otherwise noted. typical values are at t a = +25c.) (note 3) note 3: specifications are 100% production tested at t a = +25c and t a = +125c. maximum and minimum specifications over temperature are guaranteed by design. note 4: when operating with v avin = 2.5v, the maximum switching frequency should be derated to 3mhz. parameter symbol conditions min typ max units pwm current limit and hiccup mode v avin = 3.3v 4.5 4.9 5.3 regulator 1 peak current limit v avin = 2.5v 3.4 3.65 3.95 a v avin = 3.3v 4.0 4.9 5.65 regulator 1 valley current limit v avin = 2.5v 3.0 3.7 4.25 a v avin = 3.3v 2.25 2.45 2.65 regulator 2 peak current limit v avin = 2.5v 1.70 1.85 1.98 a v avin = 3.3v 2.0 2.5 2.83 regulator 2 valley current limit v avin = 2.5v 1.5 1.85 2.13 a number of cumulative current-limit events to hiccup n cl 4 clock cycles number of consecutive noncurrent limit cycles to clear n cl n clr 3 clock cycles hiccup timeout n ht 8192 clock cycles enable/sel en_ threshold v en_ rising 1.207 1.225 1.243 v en_ hysteresis 0.12 v en_ input current -2.5 +2.5 a sel high threshold 0.85 x v avin v sel low threshold 0.2 x v avin v sel input bias current present only during startup -100 +100 a oscillator switching frequency range f sw f sw = 3mhz x [v rt (v)/1.067(v)] (note 4) 500 4000 khz f sw 1500khz -6 +6 oscillator accuracy f sw > 1500khz -10 +10 % phase shift between regulators 180 degrees rt current 0 < v rt < 1.067v 31.30 32 32.58 a rt voltage range v rt 0.13 1.067 v minimum controllable on-time 60 ns minimum controllable off-time 60 ns pwm ramp amplitude v avin /4 v pwm ramp valley 0.3 v thermal shutdown thermal shutdown temperature temperature rising +160 c thermal shutdown hysteresis 15 c
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? 4 _______________________________________________________________________________________ ``````````````````````````````````````````````````````````````` `````````` ?o ?+v (v avin = v dvdd1 = v dvdd2 = v pvin1 = v pvin2 = 5v, v out1 = 3.3v, v out2 = 1.5v, v pgnd_ = 0v, r t = 16.5k . t a = +25c, unless otherwise noted.) channel 1 efficiency vs. load current max15021 toc01 load current (ma) efficiency (%) 1000 10 20 30 40 50 60 70 80 90 100 0 100 5000 v pvin1 = 3.3v v pvin1 = 5v v out1 = 1.8v f sw = 2mhz en2 = 0v channel 1 efficiency vs. load current max15021 toc02 load current (ma) efficiency (%) 1000 10 20 30 40 50 60 70 80 90 100 0 100 5000 v out1 = 3.3v v out1 = 1.8v v out1 = 1.0v v pvin1 = 5v f sw = 2mhz en2 = 0v channel 2 efficiency vs. load current max15021 toc03 load current (ma) efficiency (%) 1000 10 20 30 40 50 60 70 80 90 100 0 100 3000 p vin2 = 5v p vin2 = 3.3v v out2 = 1.5v f sw = 2mhz en1 = 0v channel 2 efficiency vs. load current max15021 toc04 load current (ma) efficiency (%) 1000 10 20 30 40 50 60 70 80 90 100 0 100 3000 v out2 = 1.0v v out2 = 1.5v v out2 = 2.5v v pvin2 = 5v f sw = 2mhz en1 = 0v channel 1 load regulation max15021 toc05 load current (a) v out1 (v) 2.5 2.0 1.5 1.0 0.5 3.302 3.304 3.306 3.308 3.310 3.312 3.314 3.316 3.318 3.320 3.300 0 3.0 v pvin1 = 5v f sw = 2mhz channel 2 load regulation max15021 toc06 load current (a) v out2 (v) 1.25 1.00 0.75 0.50 0.25 1.5025 1.5030 1.5035 1.5040 1.5045 1.5050 1.5055 1.5060 1.5065 1.5070 1.5020 0 1.50 f sw = 2mhz v pvin2 = 5v v pvin2 = 3.3v switching frequency vs. rt resistance max15021 toc07 rt resistance (k ) switching frequency (mhz) 35 30 20 25 10 15 5 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 0 0 switching frequency vs. temperature max15021 toc08 temperature ( c) change in switching frequency (%) 110 95 65 80 -10 5 20 35 50 -25 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 -0.5 -40 125 f sw = 2mhz
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? _______________________________________________________________________________________ 5 quiescent current vs. temperature max15021 toc09 temperature ( c) quiescent current (ma) 110 95 65 80 -10 5 20 35 50 -25 2.75 3.00 3.25 3.50 3.75 4.00 4.25 4.50 4.75 5.00 2.50 -40 125 no switching switching current vs. temperature max15021 toc10 temperature ( c) switching current (ma) 110 95 65 80 -10 5 20 35 50 -25 14 13 15 16 17 18 19 20 21 22 23 24 25 26 27 12 -40 125 regulator 1 enabled v out1 = 3.3v regulator 2 enabled v out2 = 1.5v normalized undervoltage lockout threshold vs. temperature max15021 toc11 temperature ( c) normalized uvlo threshold (v) 110 95 65 80 -10 5 20 35 50 -25 0.975 0.980 0.985 0.990 0.995 1.000 1.005 1.010 1.015 1.020 1.025 1.030 0.970 -40 125 v uvlo (nom) = 2.2v coincident tracking soft-start max15021 toc13 v avin 5v/div v out1 1v/div v out2 1v/div 0v 0v 1ms/div coincident tracking soft-stop max15021 toc14 v avin 5v/div 1v/div 0v 0v 400 s/div vout2 en1 vout1 ``````````````````````````````````````````````````````````````` ```` ?o ?+v)?* (v avin = v dvdd1 = v dvdd2 = v pvin1 = v pvin2 = 5v, v out1 = 3.3v, v out2 = 1.5v, v pgnd_ = 0v, r t = 16.5k . t a = +25c, unless otherwise noted.) en_ threshold vs. temperature max15021 toc12 temperature ( c) en_ threshold (v) 110 95 -25 -10 5 35 50 65 20 80 -40 125 1.215 1.220 1.225 1.230 1.235 1.240 1.245 1.250 1.255 1.260 1.210
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? 6 _______________________________________________________________________________________ channel 2 load step response max15021 toc17 v pvin2 5v/div v out2 1.5v, ac-coupled 100mv/div i out2 1a/div 0v 0a 20 s/div en1 = 0v 180 out-of-phase operation max15021 toc19 pvin1 = pvin2 5v/div v lx1 5v/div v lx2 5v/div 0v 0v 0v 200ns/div iout1 = 3a iout2 = 1.5a channel 2 load step response max15021 toc18 v pvin2 5v/div v out2 1.5v, ac-coupled 100mv/div i out2 1a/div 0v 0a 20 s/div en1 = 0v ``````````````````````````````````````````````````````````````` ```` ?o ?+v)?* (v avin = v dvdd1 = v dvdd2 = v pvin1 = v pvin2 = 5v, v out1 = 3.3v, v out2 = 1.5v, v pgnd_ = 0v, r t = 16.5k . t a = +25c, unless otherwise noted.) channel 1 load step response max15021 toc15 v pvin1 5v/div v out1 3.3v, ac-coupled 100mv/div i out1 2a/div 0v 0a 20 s/div en2 = 0v channel 1 load step response max15021 toc16 v pvin1 5v/div v out1 3.3v, ac-coupled 100mv/div i out1 2a/div 0v 0a 20 s/div en2 = 0v
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? _______________________________________________________________________________________ 7 1 sel 2, 7, 8 pgnd1 3, 6 lx1 4, 5 pvin1 9 dvdd1 10 en1 11 fb1 12 comp1 13, 14, 15, 20, 21, 22 n.c. 16 dvdd2 17 pgnd2 18 lx2 19 pvin2 23 comp2 24 fb2 25 en2 26 sgnd 27 avin 28 rt ep ``````````````````````````````````````````````````````````````` ```````````` [ m? [ m a ?  0]?? r?tfm {? s h|??]?tfm {?bwjo?  +???|r2 tfm? 9?  +???|r3 s w ?1r+??? w??1r+?-??  ?2| ? h? { sr?
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nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? _______________________________________________________________________________________ 9 ``````````````````````````````````````````````````````````````` ```````` ? vd)?* max15021 res pwm controller 2 clk2 seq2 on2 en2 comp2 fb2 v ref 1.225v 1.1v seq1 on1 on2 seq1 seq2 seq1 clk2 level shift seq2 ovl2 ilim2 ovl1 pgnd2 lx2 ovl2 shdn clk1 clk2 down2 e/a cpwm v r2 en2 v ref ramp ovl config en config overload management digital soft-start and soft-stop d d0 break- before- make q avin high-side current sense low-side current sense clk dvdd2 pvin2
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[5ni{ ? .??)l e il ] j* ? ?  y y?) j q.q * (o ?r?f| y y?"mr ??1b|k?"ml e r??? ] j2i ?5 e -2 {j"?= z|r? ?f ?s?
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z ??k? ?  ??0 ??  |
n#)
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g? r???? ]1t
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wm|r??f?  ?? r???2 x;r?? ?f| g@'r??1?f??? g| *? r??1?ft j w r )??? 9?[?*
[ w fts )?r ???|fts[?*?1?f5 w r
[ w fts ?
[ y??t02e|"
? ?+ ???f |r???
[fts? j mpbe)nby* 5"mr?  j q.q 5? ?  y y? w qwjo` ?r????1w pvu` ? ?r?1g tx 5 
? h esr v [mv] i i 2 [a] c i [a] v [v] v [v] v [v] f [mhz] i [a] v v [v] v [v] v [v] f [mhz] l esr load(max) pp pvin_ load(max) out_ pvin_ qsw pp pvin_ out_ out_ pvin_ sw [] [] [] m f h = + ? ? ? ? ? ? = ? ? ? ? ? ? = ? () ? ? lh ia pp [] [] = ? ? v [v] (v [v] v [v]) v [v] f [mhz] out_ pvin_ out_ pvin_ sw v [v] v [v] 1 (t [ s] f [mhz]) pvin_min out_ off(min) sw ? v [v] v [v] t [ s] f [mhz] pvin_max out_ on(min) sw nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? ______________________________________________________________________________________ 13
nby26132 ???  ?'|= z -'+ r?? ?f? nby26132 vwmp
?2 ?t0e . -| 3?
+r??  wm - ? m??r?? 1 w?mr????e? ? ?~$e .? ? 1?? ?"| r??? ;???|r?1?f2
??$???| "mr?1$
? ? ? ?r??
fts|g r?ft j w r )??? 9?[?*
[ w fts )r ??|?i ?1 ]*'+ r??
 fts? | j q.q 5? ?  y y?g tx 5 
? h w fts
[ w r y? {$ p?  %y4$?
+ 'fts w?|?#?? 2 w r ??
+'? ? ?? 2 w fts ? ? p~$e .???|r?1$
?
l0 r??fts
?i ? )ftm*|g ?  
?? <?2 wm|4 9 ?r0b2? r?? ?? 0b .)u sftqpotf *s ? <? |dr q)l e w?? ? ] j*r??fts| 1 ]) w fts *??ftm|1 ]) w ftm *2
?? 9?) w r * t? ? ?)j tufq *|?1 b
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? ??? ???|?" '+  ? ??z"cr?1$
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[ftm? |j tufq 5 ? ?u tufq 5 ? ?|?  . u sftqpotf 5 <?|0b . w?? ? nby26132g ?? h?1 y+ <? 1? sr? 1 ?
?e ?r w ?% ?r?1? 9m r)dpnq`*| ? ?1]s??1 ?r w 2?
8i| t q?4 9  ?0md if? ? 
ui s t q?g
s|?  j ??urmd if2.51ec0??|s h ?rq ?? ?mdu i? h[?291 $$z$$ ? ? ? ( c; ?|291 $$?
y??|u ( c? 9m
 $
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? 52
md if*r ( c j1
[? 9m ???|? d?w bwjo 0w sbnq ??|s?? 1)w sbnq *5w bwjo |
=kb| ?? d?5w0w  ?i|cr??1? $
?| cw? cw ?? ?r??1???d|l0?u? |r??1$
? *?? 9m| ( cw????
\ ?r if?i? ??w
??
[] ??r ? )m*? ? ?)eds*r??)d pvu *
?i  ?)fts* ? esr m v [mv] i [a] c i [a] t v [v] esl v [mv] t i [a] esr step out step response q esl step step [] [] [] [] [] = = = f s nh s cf i [a] 8 v [v] f [mhz] esr m 2 v [mv] i [a] out pp qsw esr pp [] [] = = ? ? i [a] i [a] v [v] v v [v] v [v] cin(rms) load(max) out_ pvin_ out_ pvin_ = ? () w 55b03b5ni{ ]1oed.ed  ?  0]? ? 14 ______________________________________________________________________________________
+?c ????? s pvu ? ?| ??g md ? if| ??? hg fts ?r??|fts ??
g md
[g fts | ??g??l ?1 y+ ?|
0b
[w? ] j 
? h)g tx * -???611li{
[5ni{? .?o= z ]?d? h)g dp *
t;
d??]?d)1ec* b|? h?b ???? 
? h| j?)g tx 021*
t?? 
? h j?2???|
0b nby26132]?1 y+? 9m ($r?
[r ??
? ?rj]? hw? ? <?
|j] w? ??r if? h ???? 05r? ???t e br' ?? ???? 9 . e brg?fts???
t???#)nmdd* ??nby26132 w | 
? h??'nmdd+? if?? e ? ??
[?? ? h? h2 x# br ?f? h?a2
? h?t|gm
?? c g
sw?? h2
y{??|
? h0b
[$?? ? ??, ?1 y+ ?|
0b
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lk?
y4|0bv 
  w - ]?? 5|r? ?c ;| y?d
[$?c5z?= z ]? ?i h d5b?,?z 0b| ??z ?|fts  ?? h ??? if| ??? hg md p%??? ?w?|]?d? h ????g]?d? hg dp | j???@w?1ecd|
& ] h?m]
??.31ec0??s hq ?@ ?? { :1 |$?
?t ?| ?|$?? ?i?;?? cdr q
? 3?
? gain v v v v 4 4v/v f 1 2lc r esr r dcr 1 2lc f 1 2 esr c mod(dc) avin ramp avin avin lc out out out out esr out === = + + ? ? ? ? ? ? = nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? ______________________________________________________________________________________ 15 max15021 fig04a magnitude (db) phase (degrees) -60 -40 -20 0 20 40 -80 100 1k 10k frequency (hz) 100k 1m 10m 10 -135 -90 -45 0 45 90 -180 |g mod | f lc f esr < g mod |g mod | asymptote d5b/! g??
r|m? ?r??) ?? ???*??? |d
[$?0b max15021 fig04b magnitude (db) phase (degrees) frequency (hz) -60 -40 -20 0 20 40 60 80 -80 -135 -90 -45 0 45 90 135 180 -180 100 1k 10k 100k 1m 10m 10 < g ea |g ea | |g mod | f lc f esr f co < g mod d5c/! g??
r|m? ?r??) ?? ???*???
[jj w?|d$?0b
nby26132 ?d5c?,jj w? ???fts ?|,31ec0? ?s h ??|
?+4
km ? ? |
dr q
- ? h?m?4??w?]? d? hg dp ?  jj w?||?d)z m??23ec*? ?w?] ?d? hg dp |???q ?)?g dp hbjo f0b! , hbjo npe >! 1ec*?z ?| ????? ? fts ?)g [fsp-fts *
? ?|.31ec0??|
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+' ?dr q ?4?4$?? ?m?86 )]? d? hg dp hbjo f0b
[hbjo npe ? .|$?*  if 1?@?k  ??i? -? if ??)?nmdd* ?|fts ? s? ? |? h ?d5d?, ??d ?# d
[$?0b????| m ?dvn#| 1
j?5????ui?? g md
t ?? ?
?u?|d
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[fts*- t?fts ?? h w z ?|?g|]?d? h???fts ?? h ?z ?|gw??|? ??w ?0bv 2? ifw
??|$?
?l0jjj ` -? z b|w? ?d5e?,jjj w?|?|w ?d) ??,31ec0 ??s h?@w????|
??*?w??? ??]?d? hg dp |w
??.51ec0??q ?)?g dp hbjo f0b ,! hbjo npe >! 1ec*l ed5e ??d ?||?w ?|,31ec0??d?? ???? ?|.51ec0??
& ])|?*-  k1 ??1 ?|??dr q?d5e?,"? ?
+5 ?|dr q 
? ?4 m?66 |$?? ?)]?d? hg dp hbjo f0b
[hbjo npe ? .| $?*  a  ?jj
[jjj w?|? 
- w 55b03b5ni{ ]1oed.ed  ?  0]? ? 16 ______________________________________________________________________________________ magnitude (db) phase (degrees) frequency (hz) -60 -40 -20 0 20 40 -80 -135 -90 -45 0 45 90 -180 max15021 fig04c 100 1k 10k 100k 1m 10m 10 |g mod | |g mod | asymptote f lc f esr < g mod d5d/! g? 
lk|??)nmdd*???|d
[$ ?0b max15021 fig04d magnitude (db) phase (degrees) frequency (hz) -60 -40 -20 0 20 40 60 80 -80 -203 -135 -68 0 68 135 203 270 -270 100 1k 10k 100k 1m 10m 10 < g ea |g ea | |g mod | f lc f esr f co < g mod d5e/! g? 
lk|??)nmdd*???
[jjj w? |d$?0b
jj ?ig dp ?! g [fsp-fts  ?rw? ig dp m?g fts jj w?? e ?g|
w?0 bjj w?? e  |?w? ?
[ ?
?? )l ed6b
[d6c* s g d g  |? ?g nje-[fsp s g d dg  ?
?? g ijhi-qpmf ?m2
- w?? e? h g fts
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 d pvu
[fts| ??g??l r??? ] j ??w?|? ?g [2 '??
tc? if| w
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y{w?|"m$? s?g|]?d? h g dp ???w?|? ?g [2  ?
??g q2 | 
\3 ????,? ?4/4l ?41l *?? ( c?s g  ? ?| t q?md if ( c j1
$
? 5 ?|??]?d? hg dp |d )hbjo npe *g+? |w gc ?1/7w )?o?*|gc`r??1???m? ?? fts?r??|?i ?w pvu` ?? g|r?1 |?? 9m|d)hbjo f0b *?? 
5d??g dp |?d
[? 9md| ?
b s???2?+?,? gain mod x gain e/a = 1 ?2? 20 log 20 log 0db r r 4 esr x v 2 f l x v 1 10 r r 10 4 esr x v 2 f l x v f 1 fb co out_ f 1 fb co out_ + = = ? ? ? ? ? ? ? ? ? ? ? ? ? ? gain r [k ] r [k ] e/a f 1 = gain 4(v/v) esr [m ] 2 f [khz] l[ h] v [v] v [v] mod co fb out_ = () fff co z1 p1 = f f 2 p1 sw ff z1 lc f 1 2 esr c f 1 2lc esr out lc out = nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? ______________________________________________________________________________________ 17 r 1 v ref r f fb_ comp_ v out_ r 2 c f c cf d6b/! jj w?? e gain (db) 1st asymptote ( r 1 c f ) -1 2nd asymptote (r f r 1 ) -1 3rd asymptote ( r f c cf ) -1 (rad/sec) 1st pole (at origin) 2nd pole (r f c cf ) -1 1st zero (r f c f ) -1 d6c/! jj w?? e0b
nby26132 s 2 ? |w gc ?1/7w )?o?*|gc`r??1???m? ?? fts?r??|?i ?w pvu` ?? g|r?1 2* d g ?w?|? ?g [2
[s g ??+?,? 3*! d dg ?w?| ?
??g q2
[s g ??+?,? 4*! ? ?+ s 3 ? |w gc ?1/7w )?o?*@&w pvu` ? ?|r ?1 jjj ?ig dp =! g fts  ?rw? ???d?? 8i|w?? er?? ?| fts ??? ;?
 fg?fts?#r??)nmdd* fts ?? h)g fts *0?e ??g|]?d? h)g dp *z?= z pggjjj w?? e)l ed7b* ?d7c?,jjj w?? e? <?
5|[? ? y ?
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?? g q2 [? ? ?
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j* -?? r?1 ? g q2 >! ??)1i{* g q3 - ? ?fts ?)g fts *|?? s??
t? ?r ?f j|q ? g q4 ?q ? ?r?f p? d dg ==! d g ?2? f 1 2 r c p3 fcf = f 1 2r cc 1 2r cc cc p3 ffcf f fcf fcf = () = + f 1 2rc p2 ii = f 1 2rc f 1 2c(rr) z1 ff z2 i1i = = + r[k] r[k] v [v] v [v] v [v] 21 fb out_ fb ? = ? cf] 1 2 r [k ] f [khz] cf fp1 [ = c[f] 1 2 r [k ] f [khz] f fz1 = r [k ] r [k ] 4 esr[m ] v [v] 2 f [khz] l[ h] v [v] 1 ffb co out_ ? = w 55b03b5ni{ ]1oed.ed  ?  0]? ? 18 ______________________________________________________________________________________ r 1 v ref r f fb_ comp_ v out_ r 2 c f c cf r i c i d7b/! jjj w?? e gain (db) 1st asymptote ( r 1 c f ) -1 3rd asymptote ( r f c i ) -1 5th asymptote ( r i c cf ) -1 (rad/sec) 1st pole (at origin) 2nd pole (r i c i ) -1 3rd pole (r f c cf ) -1 1st zero (r f c f ) -1 2nd asymptote r f r 1 ( ) 1 4th asymptote r f r i ( ) 2nd zero (r 1 c i ) -1 d7c/! jjj w?? e0b
?
[
??|??b'$?? ?| y???g dp ?  ?? g dp g [ ???g q g dp ?? g dp >!g q >!6 -?g dp 
y{m?71 $?? ?y y? t? 1 ? w
??
t??w
???? 9? y ? ;??z  -2 ? h??  n @'2[?? 2* ? 
? h)g tx *| j?
t2??? ]?d ? hg dp ? 3* mdw
??? hg md ? |d pvu ? ?|r?? 4* ?4/4l ?41l *?? ( c?s g  5* ???
t??r ifw
??g md  9?w?|? 6* ? ?| t q?md if ( c j12
$
? 5?|??]?d? h|d )hbjo npe *?? |?? 9m|d)hbjo f0b *?? 
5d5g dp ?d? 9md|?
 b??2??,; gain mod x gain e/a = 1 p%? g ?d j {? 7* ? g md =! g dp =! g fts =! g tx 03@&g?fts??? |= zw?|? 
??)g q3 *???g fts z - 2 j|$?? ?-;fd -2 ? 203 
? h?
5d??,31ec0??| s hiu1ec]?d??
? a
t${3
|??? f p2 = f esr ?
+g?#????|fts ?)g fts *? - ? 
? h|
t g md! =! g dp =! g tx 03! =! g fts z?= z ? 
??)g q3 *|? hb ? - y
?l0]? d? h|$?? ? ??? -2 sg q3 ???6 y g dp  z?]?d? hg dp |$??
r ??22 ? f p2 = 5 x f co ag q3 i? - s j ? 8* ? 1/3! y! g dp
tg md ) yw? . wcw* 9??  ? )g [3 *g+ s 2 ? 9* ? 
? h| 9??
??)g q4 *?+  d dg ? :*! '+ s 3 ? |w gc >! 1/7w! )?o?* r[k] r[k] v [v] v [v] v [v] 21 fb out_ fb ? = ? c[f] 1 2 0.5 f [mhz] r [k ] cf sw f n = () r[k ] 1 2 f [khz] c [ f] 1 z2 i = r[k ] 1 2 f [khz] c [ f] i p2 i = c pf] 2 f [khz] l[ h] c [ f] 4 r [k ] i co out f [ = () ? 4 1 (2 f [khz]) c [ f] l[ h] 2 f [khz] c [ f] r [k ] 1 co 2 out co i f = ? p gain 2 f [khz] c [ f] r [k ] e/a co i f = ? gain 4 1 (2 f [mhz]) l[ h] c [ f] mod co 2 out = ? c[f] 1 2 r [k ] 0.5 f [khz] f flc = f [mhz] 1 2 l[ h] c f] lc out [ f [khz] f [khz] 10 co sw nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? ______________________________________________________________________________________ 19 f 1 2rc z1 ff = g [ g dp  ???,?
nby26132 ``````````````````````````````` bg? qdcz ? ?|qdcz #???| ?+ ;??
q |qdcz b%f2e ? 2* - # jd[ m 9?w??? 3* ?thoe
[qhoe ? -? # r? if?? ?0
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 ??[#be - e | yg
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fd {?m a
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fd {?thoe?y?jd 1? { s a
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[???tb |? wm? p% w|qdc ?5?y ?? ??2 z w
| ?5? ? ??i?2z-  ?cz :* ?
qdcz | ??g??l nby26132? e? |l z  w 55b03b5ni{ ]1oed.ed  ?  0]? ? 20 ______________________________________________________________________________________
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? ______________________________________________________________________________________ 21 ``````````````````````````````````````````````````````````````` `````````` ?o ?+? 5 c i2 max15021 lx2 pgnd2 en1 dvdd1 rt sel comp1 sgnd avin en2 pvin2 dvdd2 c dd1 c cf2 c f2 r f2 r t r i2 r 1 c 1 v in r 1fb1 r i1 r s2 l 2 r 2fb2 r 2fb1 r 1fb2 c t c 2 c i1 c out2 v out2 v avin c s2 c in2 c dd2 fb2 v in pvin1 c in1 v in comp2 c cf1 c f1 r f1 lx1 pgnd1 fb1 pgnd sgnd r s1 l 1 c out1 v out1 v avin c s1 r 1en2 r 2en2 d8/! r?  ?|nby26132wr ]1 ?
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? 22 ______________________________________________________________________________________ ``````````````````````````````````````````````````````````````` ```` ?o ?+? 5)?* c i2 max15021 lx2 pgnd2 en1 dvdd1 rt sel comp1 sgnd avin en2 pvin2 dvdd2 c dd1 c cf2 c f2 r f2 r t r i2 r 1 c 1 v in r 1out1 r i1 r s2 l 2 r 2out2 r 2out1 r 1out2 c t c 2 c i1 c out2 v out2 v out1 v avin c s2 c in2 c dd2 fb2 v in pvin1 c in1 v in comp2 c cf1 c f1 r f1 lx1 pgnd1 fb1 pgnd sgnd r s1 l 1 c out1 v out1 c s1 d9/! r?]? ?|nby26132wr ]1 ?
nby26132 w 55b03b5ni{ ]1oed.ed  ?  0]? ? nbyjnynbyjn?-2j|?
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