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  1 ? fn7058.4 EL2227 dual, very low noise amplifier the EL2227 is a dual, low-noise amplifier, ideally suited to line receiving applications in adsl and hdslii designs. with low noise specification of just 1.9nv/ hz and 1.2pa/ hz, the EL2227 is perfect for the detection of very low amplitude signals. the EL2227 features a -3db bandwidth of 115mhz and is gain-of-2 stable. the EL2227 also affords minimal power dissipation with a supply current of just 4.8ma per amplifier. the amplifier can be powered from supplies ranging from 2.5v to 12v. the EL2227 is available in a space-saving 8 ld msop package as well as the industry-standard 8 ld soic. it can operate over the -40c to +85c temperature range. pinout EL2227 (8 ld soic, 8 ld msop) top view features ? voltage noise of only 1.9nv/ hz ? current noise of only 1.2pa/ hz ? bandwidth (-3db) of 115mhz @a v = +2 ? gain-of-2 stable ? just 4.8ma per amplifier ? 8 ld msop and 8 ld soic package ? 2.5v to 12v operation ? pb-free available (rohs compliant) applications ? adsl receivers ? hdslii receivers ? ultrasound input amplifiers ? wideband instrumentation ? communications equipment ? agc and pll active filters ? wideband sensors . 1 2 3 4 8 7 6 5 - + - + vs- vs+ vina+ vina- vouta voutb vinb- vinb+ ordering information part number part marking temp range (c) package pkg. dwg.# EL2227cyz* (note) basaa -40 to +85 8 ld msop (3.0mm) (pb-free) m8.118a EL2227cs* 2227cs -40 to +85 8 ld soic (150 mil) m8.15e EL2227csz* (note) 2227csz -40 to +85 8 ld soic (150 mil) (pb-free) m8.15e *add ?-t7? or ?-t13? suffix for tape and reel. please refer to tb347 for details on reel specifications. note: these intersil pb-free plas tic packaged products employ special pb-free material sets, molding compounds/die attach materials, and 100% matte tin pl ate plus anneal (e3 termination finish, which is rohs compliant and compatible with both snpb and pb-free soldering operations). intersil pb-free products are msl classified at pb-free peak reflow temperatures that meet or exceed the pb-free requirements of ipc/jedec j std-020. data sheet september 14 ,2010 caution: these devices are sensitive to electrosta tic discharge; follow proper ic handling procedures. 1-888-intersil or 1-888-468-3774 | intersil (and design) is a registered trademark of intersil americas inc. copyright intersil americas inc. 2004, 2005, 2007, 2010. all rights reserved all other trademarks mentioned are the property of their respective owners.
2 fn7058.4 september 14 ,2010 absolute maximum rati ngs thermal information supply voltage between v s + and v s - . . . . . . . . . . . . . . . . . . . . .28v input voltage . . . . . . . . . . . . . . . . . . . . . . . . . . v s - - 0.3v, v s +0.3v maximum continuous output current . . . . . . . . . . . . . . . . . . . 40ma maximum die temperature . . . . . . . . . . . . . . . . . . . . . . . . . . +150c esd voltage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2kv storage temperature . . . . . . . . . . . . . . . . . . . . . . . .-65c to +150c operating temperature . . . . . . . . . . . . . . . . . . . . . . .-40c to +85c power dissipation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . see curves pb-free reflow profile. . . . . . . . . . . . . . . . . . . . . . . . .see link below http://www.intersil.com/pbfree/pb-freereflow.asp caution: do not operate at or near the maximum ratings listed fo r extended periods of time. exposure to such conditions may adv ersely impact product reliability and result in failures not covered by warranty. important note: all parameters having min/max specifications are guaranteed. typical values are for information purposes only. u nless otherwise noted, all tests are at the specified temperature and are pulsed tests, therefore: t j = t c = t a electrical specifications v s + = +12v, v s - = -12v, r l = 500 and c l = 3pf to 0v, r f = r g = 620 , and t a = +25c, unless otherwise specified. parameter description condition min typ max unit input characteristics v os input offset voltage v cm = 0v -0.2 3 mv tcv os average offset voltage drift -0.6 v/c i b input bias current v cm = 0v -9 -3.4 a r in input impedance 7.3 m c in input capacitance 1.6 pf cmir common-mode input range -11.8 +10.4 v cmrr common-mode rejection ratio for v in from -11.8v to 10.4v 60 94 db a vol open-loop gain -5v v out 5v 70 87 db e n voltage noise f = 100khz 1.9 nv/ hz i n current noise f = 100khz 1.2 pa/ hz output characteristics v ol output swing low r l = 500 -10.4 -10 v r l = 250 -9.8 -9 v v oh output swing high r l = 500 10 10.4 v r l = 250 9.5 10 v i sc short circuit current r l = 10 140 180 ma power supply performance psrr power supply rejection ratio v s is moved from 2.25v to 12v 65 95 db i s supply current (per amplifier) no load 4.8 6.5 ma v s operating range 2.5 12 v dynamic performance sr slew rate (note 2) 2.5v square wave, measured 25% to 75% 40 50 v/s t s settling to 0.1% (a v = +2) (a v = +2), v o = 1v 65 ns bw -3db bandwidth r f = 358 115 mhz hd2 2nd harmonic distortion f = 1mhz, v o = 2v p-p , r l = 500 , r f = 358 93 dbc f = 1mhz, v o = 2v p-p , r l = 150 , r f = 358 83 dbc hd3 3rd harmonic distortion f = 1mhz, v o = 2v p-p , r l = 500 , r f = 358 94 dbc f = 1mhz, v o = 2v p-p , r l = 150 , r f = 358 76 dbc EL2227
3 fn7058.4 september 14 ,2010 electrical specifications v s + = +5v, v s - = -5v, r l = 500 and c l = 3pf to 0v, r f = r g = 620 , and t a = +25c, unless otherwise specified. parameter description condition min typ max unit input characteristics v os input offset voltage v cm = 0v 0.2 3 mv tcv os average offset voltage drift -0.6 v/c i b input bias current v cm = 0v -9 -3.7 a r in input impedance 7.3 m c in input capacitance 1.6 pf cmir common-mode input range -4.8 3.4 v cmrr common-mode rejection ratio for v in from -4.8v to 3.4v 60 97 db a vol open-loop gain -5v v out 5v 70 84 db e n voltage noise f = 100khz 1.9 nv/ hz i n current noise f = 100khz 1.2 pa/ hz output characteristics v ol output swing low r l = 500 -3.8 -3.5 v r l = 250 -3.7 -3.5 v v oh output swing high r l = 500 3.5 3.7 v r l = 250 3.5 3.6 v i sc short circuit current r l = 10 60 100 ma power supply performance psrr power supply rejection ratio v s is moved from 2.25v to 12v 65 95 db i s supply current (per amplifier) no load 4.5 5.5 ma v s operating range 2.5 12 v dynamic performance sr slew rate 2.5v square wave, measured 25% to 75% 35 45 v/s t s settling to 0.1% (a v = +2) (a v = +2), v o = 1v 77 ns bw -3db bandwidth r f = 358 90 mhz hd2 2nd harmonic distortion f = 1mhz, v o = 2v p-p , r l = 500 , r f = 358 98 dbc f = 1mhz, v o = 2v p-p , r l = 150 , r f = 358 90 dbc hd3 3rd harmonic distortion f = 1mhz, v o = 2v p-p , r l = 500 , r f = 358 94 dbc f = 1mhz, v o = 2v p-p , r l = 150 , r f = 358 79 dbc EL2227
4 fn7058.4 september 14 ,2010 typical performance curves figure 1. non-inverting frequency response for various rf figure 2. inverting frequency response for various r f figure 3. non-inverting frequency response (gain) figure 4. inverting frequency response (gain) figure 5. non-inverting frequency response (phase) figure 6. inverting fr equency response (phase) 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1m 10m 100m frequency (hz) normalized gain (db) 200m v s = 12v a v = +2 r l = 500 r f = 620 r f = 1k r f = 100 r f = 350 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1m 10m 100m frequency (hz) normalized gain (db) 200m v s = 12v a v = -1 r l = 500 r f = 1k r f = 620 r f = 420 r f = 350 r f = 100 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1m 10m 100m frequency (hz) normalized gain (db) 200m v s = 12v r f = 350 r l = 500 a v = 2 a v = 5 a v = 10 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1m 10m 100m frequency (hz) normalized gain (db) 200m v s = 12v r f = 420 r l = 500 a v = -5 a v = -10 a v = -2 a v = -1 135 90 45 0 -45 -90 -135 -180 -225 -270 -315 1m 10m frequency (hz) phase () 100m200m v s = 12 r f = 350 r l = 500 a v = 10 a v = 2 a v = 5 135 90 45 0 -45 -90 -135 -180 -225 -270 -315 1m 10m 100m frequency (hz) phase () 200m v s = 12v r f = 420 r l = 500 a v = -5 a v = -10 a v = -1 a v = -2 EL2227
5 fn7058.4 september 14 ,2010 figure 7. non-inverting frequency response for various input signal levels figure 8. inverting frequency response for various input signal levels figure 9. non-inverting frequency response for various c l figure 10. inverting frequency response for various c l figure 11. non-inverting frequency response for various r l figure 12. frequency response for various output dc levels typical performance curves (continued) 4 3 2 1 0 -1 -2 -3 -4 -5 -6 100k 1m 10m frequency (hz) normalized gain (db) 100m v s = 12v r f = 350 a v = +2 r l = 500 v in = 2v p-p v in = 1v p-p v in = 500mv p-p v in = 100mv p-p v in = 20mv p-p 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1m 10m 100m frequency (hz) normalized gain (db) 200m v s 12v r f = 420 r l = 500 a v = -1 v in = 2.8v p-p v in = 1.4v p-p v in = 280mv p-p v in = 20mv p-p 5 4 3 2 1 0 -1 -2 -3 -4 -5 1m 10m 100m frequency (hz) normalized gain (db) 200m v s =1 2v r f =62 v s = 12v r f = 620 r l = 500 a v = +2 c l = 2pf c l = 12pf c l = 30pf 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1m 10m 100m frequency (hz) normalized gain (db) 200m v s 12v r f = 420 r l = 500 a v = -1 c l = 2pf c l = 12pf c l = 30pf 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1m 10m 100m frequency (hz) normalized gain (db) 200m v s = 12v r f = 620 c l = 15pf a v = +2 r l = 50 r l = 100 r l = 500 4 3 2 1 0 -1 -2 -3 -4 -5 -6 100k 1m 10m frequency (hz) normalized gain (db) v s = 12v r f = 620 r l = 500 a v = +2 100m v o = -5v v o = 0v v o = -10v v o = +10v v o = +5v EL2227
6 fn7058.4 september 14 ,2010 figure 13. 3db bandwidth vs supply voltage figure 14. peaking vs supply voltage figure 15. large signal step response (v s = 12v) figure 16. large signal step response (v s = 2.5v) figure 17. small signal step response (v s = 12v) figure 18. small signal step response (v s = 2.5v) typical performance curves (continued) 140 120 100 80 60 40 20 0 24 8 supply voltage (v) 3db bandwidth (mhz) 12 610 a v = +2 r f = 620 r l = 500 a v = -1 a v = +2 a v = -2 a v = +5 a v = -5 a v = +10 10 a v = -10 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0 24 8 supply voltage (v) peaking (db) 12 610 a v = +2 r f = 620 r l = 500 a v = +2 a v = -1 a v = +5 a v = -5 a v = -10 a v = +10 a v = -2 100ns/div 0.5v/div r f = 620 a v = 2 r l = 500 100ns/div 0.5v/div r f = 620 a v = 2 r l = 500 r f = 620 a v = 2 r l = 500 100ns/div 20mv/div 100ns/div 20mv/div r f = 620 a v = 2 r l = 500 EL2227
7 fn7058.4 september 14 ,2010 figure 19. group delay vs frequency figure 20. differential gain/phase vs dc input voltage at 3.58mhz figure 21. supply current vs supply voltage figure 22. closed loop output impedance vs frequency figure 23. cmrr figure 24. psrr typical performance curves (continued) 10 8 6 4 2 0 -2 -4 -6 -8 -10 1m 10m frequency (hz) group delay (ns) a v = 5v a v = 2v 100m v s = 12v r f = 620 r l = 500 p in = -20dbm into 50 0.10 0.08 0.06 0.04 0.02 0 -0.02 -1.0 0 dc input voltage (v) dg (%) or dp () dg 1.0 -0.5 0.5 a v = 2 r f = 620 r l = 150 f o = 3.58mhz dp 12 6 0 612 0 1.2/di 1.2/di supply voltage (v) supply current (ma) 100 10 1 0.1 0.01 10k 1m frequency (hz) output impedance ( ) 100m 100k 10m 110 90 70 50 30 10 10 10k frequency (hz) -cmrr (db) 1m 100m 100 1k 100k 10m v s = 12 0 60 80 100 1k 1m frequency (hz) psrr (db) 10m 100m 10k 40 20 100k v s - v s + EL2227
8 fn7058.4 september 14 ,2010 figure 25. 1mhz 2nd and 3rd harmonic distortion vs output swing for v s = 12v figure 26. 1mhz 2nd and 3rd harmonic distortion vs output swing for v s = 2.5v figure 27. total harmonic distortion vs frequency @ 2v p-p v s = 12v figure 28. total harmonic distortion vs frequency @ 2v p-p v s = 2.5v figure 29. voltage and current noise vs frequency figure 30. channel-to-channel isolation vs frequency typical performance curves (continued) -40 -50 -60 -70 -80 -90 -100 08 output swing (v p-p ) distortion (dbc) 16 20 4 12 2nd 3rd h a v = 2 r f = 620 r l = 500 -50 -60 -70 -80 -90 -100 01.5 output swing (v p-p ) distortion (dbc) 2.5 0.5 2 1 2nd 3rd h a v = 2 r f = 358 r l = 500 -60 -70 -90 -100 -110 -120 1 frequency (khz) thd (dbc) 1000 10 100 -80 r l = 500 r l = 50 frequency (khz) thd (dbc) -60 -70 -90 -100 -110 -120 1 1000 10 100 -80 r l = 500 r l = 50 10 9 6 5 4 3 2 1 10 1k frequency (hz) voltage noise (nv/ hz), current noise (pa/ hz) 10k 100k 100 8 7 i n e n 0 -20 -40 -60 -80 -100 100k 1m frequency (hz) gain (db) 100m 10m a b b a EL2227
9 fn7058.4 september 14 ,2010 figure 31. -3db bandwidth vs temperature figure 32. supply current vs temperature figure 33. v os vs temperature figure 34. input bias current vs temperature figure 35. slew rate vs temperature figure 36. settling time vs accuracy typical performance curves (continued) 150 140 120 110 100 90 80 0 100 die temperature (c) -3db bandwidth (mhz) 130 40 -20 -40 20 80 140 60 120 10.0 9.0 8.5 -50 50 die temperature (c) i s (ma) 100 150 0 9.5 2 0 -2 -4 -50 0 die temperature (c) v os (mv) 150 50 100 -2 -4 -5 -6 -50 50 die temperature (c) i bias (a) 100 150 0 -3 55 53 51 49 47 45 -50 die temperature (c) slew rate (v/s) 50 150 0100 160 140 100 60 20 0 0.01 accuracy (%) settling time (ns) 1.0 0.1 120 80 40 v s = 2.5v v o = 2v p-p v s = 12v v o = 5v p-p v s = 12v v o = 2v p-p EL2227
10 fn7058.4 september 14 ,2010 figure 37. package power dissipation vs ambient temperature typical performance curves (continued) 0.9 0.8 0.6 0.4 0.2 0 0100 ambient temperature (c) power dissipation (w) 150 25 125 75 50 0.7 0.5 0.3 0.1 85 781m 607m j a = + 1 6 0 c / w j a = + 2 0 6 c / w s o 8 m s o p 8 jedec jesd51-3 low effective thermal conductivity test board pin descriptions EL2227cy 8 ld msop EL2227cs 8 ld soic pin name pin function equivalent circuit 1 1 vouta output circuit 1 2 2 vina- input circuit 2 3 3 vina+ input reference circuit 2 4 4 vs- supply 5 5 vinb+ input 6 6 vinb- input reference circuit 2 7 7 voutb output reference circuit 1 8 8 vs+ supply v out v s + v in - v in + v s + v s - EL2227
11 fn7058.4 september 14 ,2010 applications information product description the EL2227 is a dual voltage feedback operational amplifier designed especially for dmt adsl and other applications requiring very low voltage and curr ent noise. it also features low distortion while drawing moderately low supply current and is built on elantec's proprietary high-speed complementary bipolar process. the EL2227 use a classical voltage-feedback topology, which allows them to be used in a variety of applications where current-feedback amplifiers are not appropriate because of restrictions placed upon the feedback element used with t he amplifier. the conventional topology of the EL2227 allows, for example, a capacitor to be placed in the feedback path, making it an excellent choice for applications such as active filters, sample-and-holds, or integrators. adsl cpe applications the low noise EL2227 amplifier is specifically designed for the dual differential receiver amplifier function with adsl transceiver hybrids, as well as other low-noise amplifier applications. a typical adsl cpe line interface circuit is shown in figure 38. the EL2227 is used in receiving dmt down stream signal. with careful transceiver hybrid design and the EL2227 1.9nv/ hz voltage noise and 1.2pa/ hz current noise performance, -140dbm/hz system background noise performance can be easily achieved. disable function the EL2227 is in the standard dual amplifier package without the enable/disable function. a simple way to implement the enable/disable function is depicted in figure 39. when disabled, both the positive and negative supply voltages are disconnected (see figure 39). power dissipation with the wide power supply range and large output drive capability of the EL2227, it is possible to exceed the +150c maximum junction temperatures under certain load and power supply conditions. it is theref ore important to calculate the maximum junction temperature (t jmax ) for all applications to determine if power supply voltages, load conditions, or package type need to be modified for the EL2227 to remain in the safe operating area. these parameters are related in equation 1: where: pd maxtotal is the sum of the maximum power dissipation of each amplifier in the package (pd max ) pd max for each amplifier can be calculated using equation 2: where: t max = maximum ambient temperature ja = thermal resistance of the package pd max = maximum power dissipation of 1 amplifier v s = supply voltage i max = maximum supply current of 1 amplifier v outmax = maximum output voltage swing of the application r l = load resistance to serve as a guide for the user, we can calculate maximum allowable supply voltages for the example of the video cable-driver below since we know that t jmax = +150c, t max = +75c, i smax = 9.5ma, and the package ja s are shown in table 1. if we assume (for this example) that we are driving a back-terminated video cable, then the maximum average value (over duty-cycle) of v outmax is 1.4v, and r l = 150 , giving the results seen in table 1. figure 38. typical line interface connection - + - + - + - + receive out - receive out + driver input r g r f r f r f r r in r r in r f r out r out line + line - receive amplifiers z line - + 1f 4.7f 1f +12v 1k 10k 10k 75k 1k 1k figure 39. implementation of enable/disable function t jmax t max ja pd maxtotal () + = (eq. 1) p d max 2v s i smax v s ( v outmax ) v outmax r l ---------------------------- ? + = (eq. 2 ) EL2227
12 all intersil u.s. products are manufactured, asse mbled and tested utilizing iso9000 quality systems. intersil corporation?s quality certifications ca n be viewed at www.intersil.com/design/quality intersil products are sold by description only. intersil corpor ation reserves the right to make changes in circuit design, soft ware and/or specifications at any time without notice. accordingly, the reader is cautioned to verify that data sheets are current before placing orders. information furnishe d by intersil is believed to be accurate and reliable. however, no responsibility is assumed by intersil or its subsidiaries for its use; nor for any infringements of paten ts or other rights of third parties which may result from its use. no license is granted by implication or otherwise under any patent or patent rights of intersil or its subsidiari es. for information regarding intersil corporation and its products, see www.intersil.com fn7058.4 september 14 ,2010 single-supply operation the EL2227s have been designed to have a wide input and output voltage range. this design also makes the EL2227 an excellent choice for single-supply operation. using a single positive supply, the lower input voltage range is within 200mv of ground (r l = 500 ), and the lower output voltage range is within 875mv of ground. upper input voltage range reaches 3.6v, and output voltag e range reaches 3.8v with a 5v supply and r l = 500 . this results in a 2.625v output swing on a single 5v supply. this wide output voltage range also allows single-supply operation with a supply voltage as high as 28v. gain-bandwidth product and the -3db bandwidth the EL2227s have a gain-bandwidth product of 137mhz while using only 5ma of supply current per amplifier. for gains greater than 2, their cl osed-loop -3db bandwidth is approximately equal to the gain-bandwidth product divided by the noise gain of the circui t. for gains less than 2, higher order poles in the amplifiers' tr ansfer function contribute to even higher closed loop bandwidths. for example, the EL2227 have a -3db bandwidth of 115mhz at a gain of +2, dropping to 28mhz at a gain of +5. it is import ant to note that the EL2227 have been designed so that this ?extra? bandwidth in low-gain applications does not come at the expense of stability. as seen in the typical performance curves, the EL2227 in a gain of +2 only exhibit 0.5db of peaking with a 1000 load. output drive capability the EL2227s have been designed to drive low impedance loads. they can easily drive 6v p-p into a 500 load. this high output drive capability makes the EL2227 an ideal choice for rf, if and video applications. printed-circuit layout the EL2227s are well behaved, and easy to apply in most applications. however, a few simple techniques will help assure rapid, high quality results. as with any high-frequency device, good pcb layout is necessary for optimum performance. ground-plane construction is highly recommended, as is good power supply bypassing. a 0.1f ceramic capacitor is reco mmended for bypassing both supplies. lead lengths should be as short as possible, and bypass capacitors should be as close to the device pins as possible. for good ac performance, parasitic capacitances should be kept to a minimum at both inputs and at the output. resistor values should be kept under 5k because of the rc time constants associated with the parasitic capacitance. metal-film and carbon resistors are both acceptable, use of wire-wound resistors is not recommended because of their parasitic indu ctance. similarly, capacitors should be low-inductance for best performance. table 1. part package ja max pdiss @ t max max v s EL2227cs so8 160c/w 0.406w @ +85c EL2227cy msop8 206c/w 0.315w @ +85c EL2227
13 fn7058.4 september 14 ,2010 EL2227 package outline drawing m8.15e 8 lead narrow body small outline plastic package rev 0, 08/09 unless otherwise specified, tolerance : decimal 0.05 the pin #1 identifier may be either a mold or mark feature. interlead flash or protrusions shall not exceed 0.25mm per side. dimension does not include interlead flash or protrusions. dimensions in ( ) for reference only. dimensioning and tolerancing conform to amse y14.5m-1994. 3. 5. 4. 2. dimensions are in millimeters. 1. notes: detail "a" side view ?a typical recommended land pattern top view a b 4 4 0.25 a mc b c 0.10 c 5 id mark pin no.1 (0.35) x 45 seating plane gauge plane 0.25 (5.40) (1.50) 4.90 0.10 3.90 0.10 1.27 0.43 0.076 0.63 0.23 4 4 detail "a" 0.22 0.03 0.175 0.075 1.45 0.1 1.75 max (1.27) (0.60) 6.0 0.20 reference to jedec ms-012. 6. side view ?b?
14 fn7058.4 september 14 ,2010 EL2227 package outline drawing m8.118a 8 lead mini small outlin e plastic package (msop) rev 0, 9/09 plastic or metal protrusions of 0.15mm max per side are not dimensions ?d? and ?e1? are measured at datum plane ?h?. this replaces existing drawing # mdp0043 msop 8l. plastic interlead protrusions of 0.25mm max per side are not dimensioning and tolerancing conform to jedec mo-187-aa 6. 3. 5. 4. 2. dimensions are in millimeters. 1. notes: detail "x" side view 1 typical recommended land pattern top view side view 2 included. included. gauge plane 33 0.25 c a b b 0.10 c 0.08 c a b a 0.25 0.55 0.15 0.95 bsc 0.18 0.05 1.10 max c h 4.40 3.00 5.80 0.65 3.00.1 4.90.15 1.40 0.40 0.65 bsc pin# 1 id detail "x" 0.33 +0.07/ -0.08 0.10 0.05 3.00.1 1 2 8 0.860.09 seating plane and amse y14.5m-1994.


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