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aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 1 chargepump ? general description the aat3151b is a low noise, constant frequency charge pump dc/dc converter that uses a dual mode load switch (1x) and fractional (1.5x) charge pump conversion to maximize efficiency for white led applications. the aat3151b is capable of driving four white leds at a total of 120ma from a 2.7v to 5.5v input. the current sinks may be oper- ated individually or in parallel for driving higher-cur- rent leds. a low external parts count (two 1f fly- ing capacitors and two small 1f capacitors at v in and v out ) makes the aat3151b ideally suited for small battery-powered applications. analogictech's as 2 cwire? (advanced simple serial control?) serial digital input is used to enable, disable, and set current for each led with a 16-level logarithmic scale plus four low-current settings down to 50a for optimized efficiency, with a low housekeeping current of only 50a. the charge pump output of the aat3151b is equipped with built-in protection for v out . each current sink input has short-circuit and auto-disable to guard against led failure conditions. built-in soft-start circuitry prevents excessive inrush cur- rent during start-up. a low-current shutdown fea- ture disconnects the load from v in and reduces quiescent current to less than 1a. the aat3151b is available in a pb-free, space- saving, thermally-enhanced, 12-pin 3x3mm tdfn package. features ?v in range: 2.7v to 5.5v ? fully programmable current with single wire 16-step logarithmic scale 15/20/30ma max current four low-current settings down to 50a low i q (50a) for low-current mode ? dual mode 1x and 1.5x charge pump for maximum efficiency and v f coverage ? drives four channels of leds ? no inductors, low noise operation ? 1mhz constant switching frequency ? small application circuit ? built-in thermal protection ? built-in auto-disable for short-circuit ? automatic soft start ?i q <1a in shutdown ? tdfn33-12 package applications ? color (rgb) lighting ? programmable current sinks ? white led backlighting ? white photo flash for digital still cameras typical application c1 1 f c2 1 f d1 d2 d3 d4 c ou t 1 f c in 1 f 2.7v to 5.5v en/set vin en/set c1+ c1- c2+ c2- vout d1 d2 d3 d4 gnd aat3151b
aat3151b high efficiency 1x/1.5x charge pump for white led applications 2 3151b.2007.09.1.0 pin descriptions pin configuration tdfn33-12 (top view) d4 en/set c1+ 1 c1- vout c2+ d3 d2 d1 gnd vin c2- 2 3 4 5 6 12 11 10 9 8 7 pin # symbol function 1 d4 current sink input #4. 2 en/set as 2 cwire serial interface control pin. 3 c1+ flying capacitor 1 positive terminal. connect a 1f ceramic capacitor between c1+ and c1-. 4 c1- flying capacitor 1 negative terminal. 5 vout charge pump output to drive load circuit. requires a 1f or larger ceramic capacitor con- nected between this pin and ground. 6 c2+ flying capacitor 2 positive terminal. connect a 1f ceramic capacitor between c2+ and c2-. 7 c2- flying capacitor 2 negative terminal. 8 vin input power supply. requires a 1f or larger ceramic capacitor connected between this pin and ground. 9 gnd ground. 10 d1 current sink input #1. 11 d2 current sink input #2. 12 d3 current sink input #3. ep exposed paddle (bottom). connect to gnd directly beneath package.
aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 3 absolute maximum ratings 1 thermal information 3 symbol description value units p d maximum power dissipation 4 2.0 w ja maximum thermal resistance 50 c/w symbol description value units v in input voltage -0.3 to 6 v v en/set en/set to gnd voltage -0.3 to v in + 0.3 v i out 2 maximum dc output current 150 ma t j operating junction temperature range -40 to 150 c t lead maximum soldering temperature (at leads, 10 sec) 300 c 1. stresses above those listed in absolute maximum ratings may cause permanent damage to the device. functional operation at co ndi- tions other than the operating conditions specified is not implied. only one absolute maximum rating should be applied at any o ne time. 2. based on long-term current density limitation. 3. mounted on an fr4 board. 4. derate 20mw/c above 25c.
aat3151b high efficiency 1x/1.5x charge pump for white led applications 4 3151b.2007.09.1.0 electrical characteristics 1 c in = c out = c 1 = c 2 = 1.0f; t a = -40c to +85c, unless otherwise noted. typical values are t a = 25c, v in = 3.5v. symbol description conditions min typ max units input power supply v in operation range 2.7 5.5 v 1x mode, 3.0 v in 5.5, active, 0.3 1 no load current i cc operating current 1.5x mode, 3.0 v in 5.5, active, 1 3 ma no load current 50a setting, 1x mode 50 a i shdn shutdown current en/set = 0 1 a i dx i sink current accuracy 2 i set = 30ma, t a = 25c 27 30 33 ma i (d-match) current matching between any v f :d1:d4 = 3.6v 0.5 % two current sink inputs 3, 4 v th 1x to 1.5x transition threshold at i set = 20ma 150 mv any i sink pin charge pump section t ss soft-start time 100 s f clk clock frequency 1000 khz en/set v il enable threshold low v in = 2.7v 0.4 v v ih enable threshold high v in = 5.5v 1.4 v t en/set lo en/set low time 0.3 75 s t en/set _ hi _ min minimum en/set high time 50 ns t en/set _ hi _ max maximum en/set high time 75 s t off en/set off timeout 5 500 s t lat en/set latch timeout 6 500 s i en/set en/set input leakage -1 1 a 1. the aat3151b is guaranteed to meet performance specifications over the -40c to +85c operating temperature range and is assured by design, characterization, and correlation with statistical process controls. 2. determined by the average of all active channels. 3. current matching is defined as the deviation of any sink current at i out = 20ma and 2ma. 4. specification applies only to the tri-mode charge pump. 5. the en/set pin must remain logic low (less than v il ) for the duration of longer than 500s to guarantee the off timeout. 6. the en/set pin must remain logic high (greater than v ih ) for the duration of longer than 500s to guarantee the latch timeout.
aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 5 typical characteristics current matching vs. temperature temperature ( c) current (ma) 19.0 19.2 19.4 19.6 19.8 20.0 20.2 20.4 -40 -20 0 20 40 60 80 channel 2 channel 3 channel 1 channel 4 turn-on to 1.5x mode (v in = 3.5v; 20ma load) time (100s/div) en (2v/div) cp (2v/div) i in (200ma/div) v sink (500mv/div) turn-off from 1.5x mode (v in = 3.5v; 20ma load) time (500s/div) en (2v/div) i in (100ma/div) v f (1v/div) 3151b backlight efficiency vs. supply voltage supply voltage (v) efficiency (%) 30 40 50 60 70 80 90 100 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 20ma 1ma 10.2ma turn-on to 1x mode (v in = 4.2v; 20ma load) time (100s/div) en (2v/div) cp (2v/div) i in (200ma/div) v sink (500mv/div)
aat3151b high efficiency 1x/1.5x charge pump for white led applications 6 3151b.2007.09.1.0 typical characteristics en/set off timeout vs. input voltage input voltage (v) en/set off timeout ( s) 0 50 100 150 200 250 300 350 400 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 -40 c 25 c 85 c input ripple vs. input voltage input voltage (v) amplitude (mv) 0 2 4 6 8 10 12 14 16 18 20 2.50 2.75 3.00 3.25 3.50 3.75 4.00 4.25 4.50 4.75 5.00 30ma 20ma 10.2ma load characteristics (v in = 4.2v; 1.5x mode; 30ma load) time (500ns/div) v in (40mv/div) v sink (40mv/div) cp (40mv/div) en/set latch timeout vs. input voltage input voltage (v) en/set latch timeout ( s) 0 50 100 150 200 250 300 350 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 -40 c 25 c 85 c load characteristics (v in = 3.7v; 1.5x mode; 15ma load) time (500ns/div) v in (40mv/div) v sink (40mv/div) cp (40mv/div) load characteristics (v in = 3.9v; 1.5x mode; 20ma load) time (500ns/div) v in (40mv/div) v sink (40mv/div) cp (40mv/div)
aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 7 typical characteristics enable threshold high vs. input voltage input voltage (v) enable threshold high (v) 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 -40 c 25 c 85 c enable threshold low vs. input voltage input voltage (v) enable threshold low (v) 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 -40 c 25 c 85 c
aat3151b high efficiency 1x/1.5x charge pump for white led applications 8 3151b.2007.09.1.0 functional block diagram 1x and 1.5x charge pump d/a d/a d/a d/a 6 x 16 bit rom as 2 cwire interface soft-start control 1mhz oscillator voltage reference vin en/set gnd d4 d3 d2 d1 vout c1+ c1- c2+ c2- functional description the aat3151b is a dual mode load switch (1x) and high efficiency (1.5x) charge pump device intended for white led backlight applications. to maximize power conversion efficiency, an internal sensing circuit monitors the voltage required on each constant current sink input and sets the load switch and charge pump modes based on the input battery voltage and the current sink input voltage. as the battery discharges over time, the aat3151b charge pump is enabled when any of the four cur- rent sinks near dropout. the aat3151b requires only four external compo- nents: two 1f ceramic capacitors for the charge pump flying capacitors (c 1 and c 2 ), one 1f ceramic input capacitor (c in ), and one 1f ceram- ic charge pump output capacitor (c out ). the aat3151b constant current sinks can drive four individual leds with a maximum current of 30ma per channel. the as 2 cwire serial interface enables the aat3151b and sets the constant cur- rent sink magnitudes. constant current output level settings the constant current level for the led channels is set via the as 2 cwire serial interface according to a logarithmic scale. in this manner, led brightness appears to change linearly when the settings in the scale are traversed. because the inputs d1 to d4 are true independent constant current sinks, the voltage observed on any single given input will be determined by the difference between v out and the actual forward voltage (v f ) of the led being driven. since the constant current levels for the aat3151b are programmable, no pwm (pulse width modula- tion) or additional control circuitry are needed to control led brightness. this feature greatly reduces the burden on a microcontroller or system ic to manage led or display brightness, allowing the user to "set it and forget it." with its high-speed seri- al interface (>1mhz data rate), the led current
aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 9 drive can be changed successively to brighten or dim leds in smooth transitions (e.g., to fade out) or in abrupt steps, giving the user complete program- mability and real-time control of led brightness. for each max current scale, there are 16 current level settings separated from one another by approximately 1db. code 1 is full-scale current and code 15 is full-scale current attenuated by roughly 14db. code 16 is reserved as a "no current" setting (see table 1). the aat3151b has an additional low current mode with reduced quiescent current. this mode is especially useful for low-current applications where a continuous, low-current state is maintained. the reduction in quiescent current significantly reduces the impact due to maintaining a continuous back- lighting state. table 1: constant current programming levels (ma) 2 . as 2 cwire serial interface the as 2 cwire single wire interface is used to set the possible combinations of current levels and led channel states. as 2 cwire relies on the number of rising edges of the en/set pin to address and load the registers. as 2 cwire latches data or address after the en/set pin has been held high for time t lat . address or data is differentiated by the number of en/set ris- ing edges. since the data registers are 4 bits each, the differentiating number of pulses is 2 4 or 16, so that address 1 is signified by 17 rising edges, address 2 by 18 rising edges, and so forth. data is set to any number of rising edges between 1 and including 16. a typical write protocol is a burst of en/set rising edges, signifying a particular address, followed by a pause with en/set held high for the t lat timeout period, a burst of rising edges signifying data, and a t lat timeout for the data registers. once an address is set, then multi- ple writes to the corresponding data register are allowed. when en/set is held low for an amount of time greater than t off , the aat3151b enters shutdown mode and draws less than 1a from the supply. address 1 is the default address on the first rising edge after the aat3151b has been disabled. whenever shutdown mode is entered, all registers are reset to 1. 20ma max 1 30ma max 15ma max data i out (ma) i out (ma) i out (ma) 1 20.0 30.0 15.0 2 17.8 26.7 13.3 3 15.9 23.8 11.9 4 14.3 21.4 10.7 5 12.7 19.0 9.5 6 11.1 16.7 8.3 7 10.2 15.2 7.6 8 8.9 13.3 6.7 9 7.9 11.9 6.0 10 7.0 10.5 5.2 11 6.3 9.5 4.8 12 5.7 8.6 4.3 13 5.1 7.6 3.8 14 4.4 6.7 3.3 15 4.1 6.2 3.1 16 0.0 0.0 0.0 1. the device defaults to the 20ma max scale. use the max current register to change the max scale. 2. there is an additional low current mode with currents down to 50a. see the low current register settings section.
aat3151b high efficiency 1x/1.5x charge pump for white led applications 10 3151b.2007.09.1.0 as 2 cwire serial interface timing address data 1 en/set 2 17 18 address data reg 1 data reg 2 1 2 . . . n <= 16 12 1 1 n t hi t lo t lat t lat as 2 cwire addressing a number of addresses are available to control all of the part's functionality. use address 1 to pro- gram all four led channels to any one of 16 pos- sible settings that depend on the max current scale setting. use address 4 to program the max current register, which sets the max current scale. address 5 programs the low current register. the low current register controls the highly efficient low current mode. when the max current register is programmed to 1, 4, or 5, changing the data for address 1 will result in the corresponding values found in the constant current programming levels table. when the max current register is programmed to 4, the part is pro- grammed to operate in low current mode and the data for address 1 is irrelevant. in low current mode, the low current register takes precedence. see table 4 for the available current level settings. table 2: low current register settings. max current and low current registers use the max current and low current registers to program constant current settings outside of the 20ma max scale. by default (without changing the max current register), the aat3151b operates in the 20ma max scale (see constant current programming levels). for example, to change to the 30ma max scale, address the max current register with 20 rising edges and pause for t lat . program the max current register with 2 rising edges and pause for t lat . the part will next operate in the same data row, but for the setting found in the 30ma max col- umn. next, to change to a different setting on the 30ma max scale, address the d1-d4 register with 17 rising edges. program the new constant cu rrent level with 1-16 rising edges. the part will update to the new data setting according to the constant current programming levels table. the aat3151b has a distinct low current mode with ultra-low quiescent current. for drive currents of 2ma or less, the part operates with significantly reduced quiescent current. this is particularly use- ful for applications requiring an "always on" condi- tion, such as transmissive displays. as an exam- ple, to change to low current mode, address the max current register with 20 rising edges and pause for t lat . program the max current register with 4 rising edges and pause for t lat . address the low current register with 21 rising edges and pause for t lat . program the low current register with 1-16 rising edges. the part will update to the new low current mode setting and operate with significantly reduced quiescent current. en/set addressed address edges register 1 17 d1-d4 current 4 20 max current 5 21 low current
aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 11 table 3: max current register settings address 4. table 4: low current register settings address 5. disabled current sinks current sink inputs that are not used should be dis- abled. to disable and properly terminate unused current sink inputs, they must be tied to v out . properly terminating unused current sink inputs is important to prevent the charge pump modes from prematurely activating. when properly terminated, only a small sense current flows for each disabled channel. the sense current for each disabled chan- nel is 120a. the aat3151b is also equipped with an "auto-dis- able" feature to protect against an led failure condition. thermal protection the aat3151b has a thermal protection circuit that will shut down the charge pump if the die tempera- ture rises above the thermal limit, as is the case during a short-circuit of the vout pin. applications information led selection the aat3151b is specifically intended for driving white leds. however, the device design will allow the aat3151b to drive most types of leds with for- ward voltage specifications ranging from 2.0v to 4.3v. led applications may include main and sub- lcd display backlighting, camera photo-flash appli- cations, color (rgb) leds, infrared (ir) diodes for remotes, and other loads benefiting from a regulat- ed output current generated from a varying input voltage. since the d1 to d4 constant current sinks are matched with negligible voltage dependence, the led brightness will be matched regardless of the specific led forward voltage (v f ) levels. in some instances (e.g., in high luminous output applications such as photo flash), it may be neces- sary to drive high-v f type leds. the low dropout current sinks in the aat3151b make it capable of driving leds with forward voltages as high as 4.3v at full current from an input supply as low as 3.0v. current sinks can be paralleled to drive high-cur- rent leds without complication. device switching noise performance the aat3151b operates at a fixed frequency of approximately 1mhz to control noise and limit har- monics that can interfere with the rf operation of cellular telephone handsets or other communica- tion devices. back-injected noise appearing on the input pin of the charge pump is 20mv peak-to- peak, typically ten times less than inductor-based dc/dc boost converter white led backlight solu- tions. the aat3151b soft-start feature prevents noise transient effects associated with inrush cur- rents during start-up of the charge pump circuit. power efficiency and device evaluation the charge pump efficiency discussion in the follow- ing sections only accounts for the efficiency of the charge pump section itself. due to the unique circuit architecture and design of the aat3151b, it is very difficult to measure efficiency in terms of a percent value comparing input power over output power. data d1-d4 (ma) 1 0.05 2 0.5 31 42 data max current 1 20ma max scale 2 30ma max scale 3 15ma max scale 4 low current mode 1 1. low current mode requires the max current register to be set to low current mode. low current mode is unaffected by the sett ings for addresses 1-3.
aat3151b high efficiency 1x/1.5x charge pump for white led applications 12 3151b.2007.09.1.0 since the aat3151b inputs are pure constant cur- rent sinks and typically drive individual loads, it is dif- ficult to measure the output voltage for a given input (d1 to d4) to derive an overall output power meas- urement. for any given application, white led for- ward voltage levels can differ, yet the load drive cur- rent will be maintained as a constant. this makes quantifying output power a difficult task when taken in the context of comparing to other white led driver circuit topologies. a better way to quantify total device efficiency is to observe the total input power to the device for a given led current drive level. the best white led driver for a given applica- tion should be based on trade-offs of size, external component count, reliability, operating range, and total energy usage... not just % efficiency . the aat3151b efficiency may be quantified under very specific conditions and is dependent upon the input voltage versus the output voltage seen across the loads applied to inputs d1 through d4 for a given constant current setting. depending on the combination of v in and voltages sensed at the cur- rent sinks, the device will operate in load switch mode. when any one of the voltages sensed at the current sinks nears dropout, the device will operate in 1.5x charge pump mode. each of these modes will yield different efficiency values. refer to the fol- lowing two sections for explanations for each oper- ational mode. load switch mode efficiency the aat3151b load switch mode is operational at all times and functions alone to enhance device power conversion efficiency when v in is greater than the voltage across the load. when in load switch mode, the voltage conversion efficiency is defined as output power divided by input power: the expression to define the ideal efficiency ( ) can be rewritten as: -or- charge pump section efficiency the aat3151b contains a fractional charge pump that will boost the input supply voltage when v in is less than the voltage required on the constant cur- rent sink inputs. the efficiency ( ) can be simply defined as a linear voltage regulator with an effec- tive output voltage that is equal to one and one half or two times the input voltage. efficiency ( ) for an ideal 1.5x charge pump can typically be expressed as the output power divided by the input power. in addition, with an ideal 1.5x charge pump, the output current may be expressed as 2/3 of the input current. the expression to define the ideal efficiency ( ) can be rewritten as: -or- (%) = 100 v out 1.5v in ?? ?? = p out = v out i out = v out p in v in 1.5i out 1.5v in = p ou t p in (%) = 100 v out v in ?? ?? = p out = v out i out = v out p in v in i out v in = p ou t p in
aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 13 capacitor selection careful selection of the four external capacitors c in , c 1 , c 2 , and c out is important because they will affect turn-on time, output ripple, and transient per- formance. optimum performance will be obtained when low equivalent series resistance (esr) ceramic capacitors are used. in general, low esr may be defined as less than 100m . a value of 1f for all four capacitors is a good starting point when choosing capacitors. if the constant current sinks are only programmed for light current levels, then the capacitor size may be decreased. capacitor characteristics ceramic composition capacitors are highly recom- mended over all other types of capacitors for use with the aat3151b. ceramic capacitors offer many advantages over their tantalum and alu- minum electrolytic counterparts. a ceramic capac- itor has very low esr, is lowest cost, has a small- er pcb footprint, and is non-polarized. low esr ceramic capacitors help maximize charge pump transient response. since ceramic capacitors are non-polarized, they are not prone to incorrect con- nection damage. equivalent series resistance esr is an important characteristic to consider when selecting a capacitor. esr is a resistance internal to a capacitor that is caused by the leads, internal connections, size or area, material composition, and ambient temperature. capacitor esr is typi- cally measured in milliohms for ceramic capacitors and can range to more than several ohms for tanta- lum or aluminum electrolytic capacitors. ceramic capacitor materials ceramic capacitors less than 0.1f are typically made from npo or c0g materials. npo and c0g materials generally have tight tolerance and are very stable over temperature. larger capacitor val- ues are usually composed of x7r, x5r, z5u, or y5v dielectric materials. large ceramic capacitors (i.e., greater than 2.2f) are often available in low- cost y5v and z5u dielectrics, but capacitors greater than 1f are not typically required for aat3151b applications. capacitor area is another contributor to esr. capacitors that are physically large will have a lower esr when compared to an equivalent material smaller capacitor. these larger devices can improve circuit transient response when compared to an equal value capacitor in a smaller package size.
aat3151b high efficiency 1x/1.5x charge pump for white led applications 14 3151b.2007.09.1.0 ordering information package information 3 tdfn33-12 all dimensions in millimeters. top view bottom view detail "a" side view 3.00 0.05 index area detail "a" 1.70 0.05 3.00 0.05 0.05 0.05 0.23 0.05 0.75 0.05 2.40 0.05 0.43 0.05 0.45 0.05 0.23 0.05 0.1 ref pin 1 indicator (optional) c0.3 all analogictech products are offered in pb-free packaging. the term pb-free means semiconductor products that are in compliance with current rohs standards, including the requirement that lead not exceed 0.1% by weight in homogeneous materials. for more information, please visit our website at http://www.analogictech.com/pbfree. package marking 1 part number (tape and reel) 2 tdfn33-12 zoxyy AAT3151BIWP-T1 1. xyy = assembly and date code. 2. sample stock is generally held on part numbers listed in bold . 3. the leadless package family, which includes qfn, tqfn, dfn, tdfn and stdfn, has exposed copper (unplated) at the end of the lead terminals due to the manufacturing process. a solder fillet at the exposed copper edge cannot be guaranteed and is not re quired to ensure a proper bottom solder connection.
aat3151b high efficiency 1x/1.5x charge pump for white led applications 3151b.2007.09.1.0 15 advanced analogic technologies, inc. 3230 scott boulevard, santa clara, ca 95054 phone (408) 737- 4600 fax (408) 737- 4611 ? advanced analogic technologies, inc. analogictech cannot assume responsibility for use of any circuitry other than circuitry entirely embodied in an analogictech pr oduct. no circuit patent licenses, copyrights, mask work rights, or other intellectual property rights are implied. analogictech reserves the right to make changes to their products or specifications or to discontinue any product or service with- out notice. except as provided in analogictechs terms and conditions of sale, analogictech assumes no liability whatsoever, an d analogictech disclaims any express or implied war- ranty relating to the sale and/or use of analogictech products including liability or warranties relating to fitness for a part icular purpose, merchantability, or infringement of any patent, copyright or other intellectual property right. in order to minimize risks associated with the customers applications, adequa te design and operating safeguards must be provided by the customer to minimize inherent or procedural hazards. testing and other quality control techniques are utilized to the extent an alogictech deems necessary to support this warranty. specific testing of all parameters of each device is not necessarily performed. analogictech and the analogictech logo are trad emarks of advanced analogic technologies incorporated. all other brand and product names appearing in this document are registered trademarks or trademarks of their respective holder s.

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