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1. Interface gt Mux e RSD 1 e RSD 2 Function pe p 0 02 Cyclic ADC Core ANO gt y Analog Input ADC 1 Select Mux AN7 Interface gt Mux gt RSD 1 gt RSD 2 Function p p 0 p 05 Cyclic ADC Core lt p ADC 2 Figure A 1 Cyclic ADC Top Level Block Diagram In most general purpose applications the analog signal that s to be converted by the ADC can have values ranging from ground to the supply voltage This signal is selected via the input select mux depicted in Figure A 2 sampled by the interface function and presented to the ADC core 56F800 ADC Rev 2 14 Freescale Semiconductor a Using the ADC s Operational Modes Swap Channel Select Select Fa ANO Zz a AN1 To Interface z Function ADC 0 AN2 J 7 So AN3 Ly y Single ended VREF 2 Differential Swap Channel Select Select AN4 SL So AN5 __ To Interface Function ADC 1 ANG J Pa S A7 o yi Single ended VREF 2 Differential Figure A 2 Input Select Mux For noise isolation reasons the ADC core in turn uses differential signaling that s within the operational range of its sub functions which is less than the supply voltage and more than ground potential The purpose of the interface functions is to convert the full range sin
2. 5 then the analog value 1 0 is represented by 001 with no error But since the analog value of 0 5 is also represented by the digital value 001 the end points of the analog range represent the maximum error In terms of bits the maximum error can be expressed as 1 2 bit for the 0 5 endpoint and 1 2 bit for the 1 5 endpoint Maximum physical voltage error e can be calculated with the following equation ey 1 LSB voltage range 2 The voltage range of 1 LSB depends on the full scale voltage range that the ADC is set to sample and the total number of digital codes present Analog to Digital converters are specified in the number of bits of resolution If n is the number of bits of resolution then the total number of digital codes present is 2 so the voltage range represented by each bit v can be expressed as Vp Full scale voltage range 2 The maximum physical voltage error e can be expressed as e Full scale voltage range 2 2 2 Static Errors Static errors are characterized by offset error gain error integral non linearity and differential non linearity While static errors can be fully characterized using non varying input signals they affect the conversion of all input signals whether they are static or dynamic Let us first examine gain and offset errors shown by Figure 2 2 Looking at the actual transfer function we see a DC bias error causing the zero crossing to occur at a point other than the origin
3. LO Figure 2 5 Integral Non linearity 2 3 Dynamic Errors In addition to the static error specifications other specifications are commonly given that take into account dynamic error sources This section reviews a few that are specified in the 56F800 Data Sheets In the Data Sheet the dynamic errors are characterized by the Total Harmonic Distortion THD the Signal to Noise plus Distortion SINAD the Spurious Free Dynamic Range SFDR and the Effective Number Of Bits ENOB THD is the rms power in the harmonics of the signal of interest SINAD is the ratio of the rms signal power to the noise floor power plus the harmonic distortion SFDR is the decibel distance of the largest spur or harmonic noise in comparison to the signal of interest For example in the measurement of the specification a signal is injected into the ADC at a frequency of 8K Hz and a Fourier transformation is performed on the samples to yield the energy level as a function of frequency The signal of interest will form the largest decibel dB spike Below this will be a noise floor with several spikes or spurs occurring at specific frequencies The SFDR is the distance in dB of the signal of interest to the largest spur 56F800 ADC Rev 2 6 Freescale Semiconductor Input Impedance A good overall figure of merit that takes into account the effects of the overall noise and the distortion of the signal is the Effective Number Of Bits or ENOB The ENOB tak
4. Signaling 56F800 ADC Rev 2 Freescale Semiconductor 19 How to Reach Us Home Page www freescale com E mail support freescale com USA Europe or Locations Not Listed Freescale Semiconductor Technical Information Center CH370 1300 N Alma School Road Chandler Arizona 85224 1 800 521 6274 or 1 480 768 2130 support freescale com Europe Middle East and Africa Freescale Halbleiter Deutschland GmbH Technical Information Center Schatzbogen 7 81829 Muenchen Germany 44 1296 380 456 English 46 8 52200080 English 49 89 92103 559 German 33 1 69 35 48 48 French support freescale com Japan Freescale Semiconductor Japan Ltd Headquarters ARCO Tower 15F 1 8 1 Shimo Meguro Meguro ku Tokyo 153 0064 Japan 0120 191014 or 81 3 5437 9125 support japan freescale com Asia Pacific Freescale Semiconductor Hong Kong Ltd Technical Information Center 2 Dai King Street Tai Po Industrial Estate Tai Po N T Hong Kong 800 2666 8080 support asia freescale com For Literature Requests Only Freescale Semiconductor Literature Distribution Center P O Box 5405 Denver Colorado 80217 1 800 441 2447 or 303 675 2140 Fax 303 675 2150 LDCForFreescaleSemiconductor hibbertgroup com Information in this document is provided solely to enable system and software implementers to use Freescale Semiconductor products There are no express or implied copyright licenses granted hereunder to d
5. So the analog input that causes a zero code to be output in this example is 1 5 to 2 5 code instead of 0 to 0 5 code This offset error is a constant across the entire analog input range We can see the gain error reflected in the diagram in that the actual transfer function doesn t have a 45 degree slope The following equation describes the best fit linear regression of the actual ADC transfer function y Egan X Voerser Egan Gain error value from the component Data Sheet x Actual analog input Vorrset DC input offset voltage from the component Data Sheet y Apparent analog input converted by ADC These effects are linear over the input voltages and frequency and demonstrate that the actual analog input voltage can be solved for and the effects of the gain errors and offset voltages can be removed 56F800 ADC Rev 2 Freescale Semiconductor 3 ADC Transfer Function and Error Sources Output Code 101 Practical Ideal Transfer Function 100 011 B Actual Transfer Function 010 001 gt Analog Input LSB N m t LO Figure 2 2 Gain and Offset Errors In any given system the conversion point of interest to an algorithm can be fairly far removed from the analog input of the ADC as illustrated in Figure 2 3 In these cases gain and DC voltage offsets can be introduced external to the ADC so it is often important to take the entire system into account when analyzing the total g
6. at Out_Pos moves up to replace the charge being taken from C1 Likewise the voltage at Out_Neg moves down to negate the charge increase that occurs on C2 Because all capacitors are of the same size the voltage change that occurred at Cl and C2 is the same at Out_Pos and Out_Neg resulting in a differential signal A functional block diagram of an RSD function contained in the ADC core is depicted in Figure A 4 56F800 ADC Rev 2 16 Freescale Semiconductor Using the ADC s Operational Modes Digital Logic Veep 0 or VREF ee residue k voltage 2x fe ri gt J error correction bit extracted bit Figure A 4 Redundant Signed Digit RSD Functional Block Diagram 56F800 ADC Rev 2 Freescale Semiconductor 17 Conclusion The detailed description of how the RSD stage works can be found in reference manuals addressing the functionality of the cyclic Analog to Digital converter A Robertson diagram depicting the voltage in to residue out and data bits out is depicted in Figure A 5 residue voltage VREF dout 1 0 dout 0 1 dout 0 0 input f voltage VREF VL VH 7 p 7 j VREF Vres 72V VreF Vres 2Vin Vres 2Vin VREF VREF Figure A 5 Robertson Diagram 56F800 ADC Rev 2 Freescale Semiconductor Using the ADC s Operational Modes Once the chosen analog signals have been selected the ADC conversion starts with the s
7. been set Each of the preceding sequences can be coupled with sequential or simultaneous modes enabling a total of six scan modes e Once Sequential e Once Simultaneous e Loop Sequential e Loop Simultaneous e Triggered Sequential Triggered Simultaneous One of these six configurations is coded in the ADC Mode Control bits SMODE 2 0 of the ADC Control Register 1 ADCR1 The scan modes can be triggered in several ways e Directly under software control e By the output of a quadrature timer e ByaPWM reload event The PWM reload event is first routed through a Quadrature Timer that can be used to provide an arbitrary delay before causing the ADC convert command This is discussed in greater detail in application note AN1933 Synchronization of on Chip Analog to Digital Converter on DSP56F80x DSPs To set up a periodic conversion at a specific rate the triggered mode can be used in conjunction with one of the timers to provide the conversion start or sync pulse An interrupt can be generated at the conclusion of the conversion At this point the samples can be and should be read from the ADC result registers These registers are not buffered so the samples must be read before the next conversion writes out to the result registers The ADC can also be set up in a continuous loop mode where a trigger to start conversion is not required But the end of conversion cannot be set to cause an interrupt in this mode so the software mu
8. on a 56F800 component with the ADC in a simultaneous triggered mode using a timer set to provide start pulses at a 100k sample rate 10ps interval the ADC clock set for 5MHz the processor running at 40 MIPS from internal Flash and an ISR at the end of conversion interrupt takes the samples and buffers them The time to perform the conversion is Toony Time to perform conversion 8 5 ADC clock cycles time per cycle 8 5 0 2e 6 1 7us conv T get samples Time available to get samples Trig rate Tconv Time for 6 ADC clock cycles 10us 1 7us 6 0 2e 6 10us 1 7us 1 2us 9 5us At the beginning of the second conversion the result registers still contain the previous data which will not be overwritten for at least 6 ADC clock cycles Ninstr Number of instructions cycles left for software to retrieve samples T get samples Tinstr 9 5us 1 40MHz 380 instructions This example indicates that for high sampling rates the processor may have difficulty keeping up with the ADC samples especially if there is a significant processing load in handling this data and or there are other peripherals that must also be serviced A thorough system analysis is recommended to make sure real time issues are not encountered 4 Conclusion The 56F800 family includes parts with a very powerful and accurate on board ADC peripheral This document has discussed in detail the Data Sheet parameters
9. performed The INL peaks at the minimum or maximum codes and is minimized between the 10 to 90 code range If the user wishes to maximize accuracy he should limit the input swing to be within the 10 to 90 range from ground to Vggr The INL measurement in the Data Sheets is measured using the 10 to 90 range 3 4 Choosing the Right Device The ADC is a System on Chip SoC peripheral that is on the IPBus of the chip The ADC peripheral is identical in all 56F800 components but the performance of the ADC is different across the components The ADC s performance is affected by the physical location of the peripheral in the silicon These layout considerations affect the amount of coupled noise and resistive loads that directly impact the noise figures DC offsets gain errors and the linearity The 56F803 805 807 have significantly better performance than the 56F801 802 So if you are considering the 56F801 802 but find they do not have the required ADC performance then you should move your design to the 56F803 The ADC performance in the areas of gain and voltage offsets was improved over the various revisions of the components as the ADC circuitry was tuned The Data Sheets specify the current revision of the silicon so if you see markedly different voltage and gain offsets verify that you are do not have an old revision of the silicon The 56F827 has the best ADC performance of the 56F800 series Its ADC has been modified slightly to a
10. rate is 5 MHz then the ADC input impedance is i C dv dt so i dt C dv Where dt 1 5e 6 dv 1 volt C le 12 So i Se 6 le 12 1 5e 6 R V I So R 1 5e 6 200K ohms The input impedance at the ADC clock rate of 5MHz can be as low as 200K ohms A typical input configuration for driving the ADC is depicted in Figure 3 2 Using this input configuration if one wants to maintain the signal amplitude to within 10 bits or more of its original amplitude at the anti aliasing capacitor C then the source impedance of what s driving the ADC must be less than Rs Rs Ri 1 2719 Source resistance of the driver Rs Input resistance of the ADC Ri Where Ri 200K ohms 1 27 0009766 Solving for Rs results in Rs 200 ohms If the ADC clock rate were changed to 1MHz then the source impedance of what s driving the ADC must be less than 1K ohms to maintain an effective input signal that s within 10 bit of its original amplitude 56F800 ADC Rev 2 8 Freescale Semiconductor Practical ADC Calibration Increasing the source impedance introduces gain error not a loss in accuracy As the source impedance of the driver goes up the overall transfer gain from the buffer to the output of the ADC will go down As shown in the previous example this is also dependent on the ADC clock rate In other words with a fixed source resistance as the ADC clock rate goes up the overall transfer gain from the buffer to t
11. 3 2 3 Dynamic Errors eeeeeeeeeeeeee 6 2 4 Measurement Methods 0 7 3 Using the 56F800 ADC eee 7 3 1 Input Impedance eee 7 3 2 Practical ADC Calibration 9 3 3 Optimizing Linearity and ENOB 11 3 4 Choosing the Right Device 11 3 5 Using the ADC s Operational Modes istosis aricaatsaterinstessenaeesoaies 11 4 Conclusion oo eeeeeceecceseetecseeeteeneeeseees 13 A 56F800 ADC Internal Structure 14 z O S freescale semiconductor ADC Transfer Function and Error Sources Output Code 101 Ideal Transfer Function 100 011 Practical Ideal 010 Transfer Function 001 gt Analog Input LSB N m lt WO Figure 2 1 Transfer Function 2 1 Quantization Error The practical ideal transfer function used to represent a continuous analog signal as a set of discrete staircase digital codes introduces quantization error As Figure 2 1 shows the width of each step is one code increment or one Least Significant Bit so a range of continuous analog inputs is represented by a single code value The mapping can be represented as seen in Table 2 1 Table 2 1 Quantization Error Analog input Digital Code 4 5 5 5 101 3 5 4 5 100 2 5 3 5 011 1 5 2 5 010 0 5 1 5 001 0 0 5 000 56F800 ADC Rev 2 2 Freescale Semiconductor Static Errors If the value 001 represents the mid point of the analog input range of 0 5 to 1
12. Freescale Semiconductor Application Note 56F800 ADC Understanding 56F800 ADC Specifications and How to Get the Best Performance in Applications Bill Hutchings 1 Introduction This document describes the meaning of the Data Sheet specifications for the Analog to Digital Converter ADC how they are calculated and how they relate to real world signal impairments In addition this note introduces simple methods for getting the best performance from the 56F800 ADC and gives an overview of the differences in ADC performance for the various 56F800 components 2 ADC Transfer Function and Error Sources This section describes the ideal transfer function for an ADC The Data Sheet specifications provide data on how the real ADC transfer function strays from the ideal The theoretical ideal transfer function for an ADC is a straight line but this would require an infinite number of steps and therefore an infinite number of bits to represent A practical theoretical transfer function is a uniform linear staircase function which is shown in Figure 2 1 The Data Sheet ADC specifications describe in quantitative terms how far the component deviates from the ideal transfer function Freescale Semiconductor Inc 2004 2005 All rights reserved AN1947 Rev 2 08 2005 Contents 1 Introduction ooeec 1 2 ADC Transfer Function and Error SOULCES soiien snina 1 2 1 Quantization Error 2 2 2 Static FrrofS onuraren
13. ain and offset errors A calibration step may be required depending on the specific requirements of the end system In the calibration known precise and accurate signals are injected into the system and conversions are performed The actual results of the conversions are compared to the expected values and the error values for gain and offset voltage can be determined These errors can then be removed digitally in the processor or by trimming the analog circuitry before the analog input into the processor ADC Buffering Buffering Sianal of i 56F800 device Isolation Gain Isolation Gain ignal of interest stage stage Figure 2 3 System Gain and Offset Errors The 56F800 devices have been characterized and most of the gain and offset errors have been removed by internal compensation in the chip Designers should analyze the gain and offset errors stated in the Data Sheet for the device being implemented and the requirements for the algorithm they are to perform because it is 56F800 ADC Rev 2 4 Freescale Semiconductor Static Errors possible that no adjustment is required for proper operation If it is determined that the gain and offset errors must be compensated for this is a relatively straightforward proposition because these errors are linear stable over frequency and easily characterized Integral INL and differential non linearity DNL are errors introduced by all ADC units They are quite difficult to compensate and chara
14. chieve gains in linearity and noise performance To achieve these results the maximum ADC internal clock frequency has been lowered from SMHz to 2 5MHz 3 5 Using the ADC s Operational Modes This section is not intended to replace the data published in the DSP56F800 User Manual but to add clarification The reader must use the information located in the manual to fully understand this section 56F800 ADC Rev 2 Freescale Semiconductor 11 Using the 56F800 ADC First consider samples in the ADC and how they relate to the scan modes ADC Inputs can be configured for either single ended or differential mode and a user can mix single ended and differential inputs Samples may be taken either one at a time sequential mode or two at a time simultaneous mode The mapping of input pin to sample number is arbitrary with one exception the same input pin cannot be used for both sides of a simultaneous sample pair For example AN2 ANS is a valid sample pair but not AN2 AN2 The ADC captures converts up to eight samples at a time in a scan There are several different scan modes 1 Once single The ADC starts to sample just one time using the START bit or by a sync pulse This mode must be re armed by writing to the ADCR1 register again before capturing another scan 2 Triggered Sampling begins with every recognized START command or sync pulse 3 Loop The ADC continuously take samples as long as power is on and the STOP bit has not
15. coupling 1 8pf 2 Parasitic capacitance due to the chip bond pad ESD protection devices and signal routing 2 04pf 3 Equivalent resistance for the ESD isolation resistor and the channel select mux 500 ohms 4 Sampling capacitor at the sample and hold circuit 0 0 0 eee Ipf 56F800 ADC Rev 2 Freescale Semiconductor 7 Using the 56F800 ADC When interfacing to the ADC one must be concerned with the ADC clock rate and the size of the sampling capacitor which is 1pf and depicted in Figure 3 1 as 4 This capacitor is charged to the sampling voltage and discharged to Vpp 2 during each ADC clock cycle This effectively creates a switched cap implementation of a resistor that is dependent on clock rate and voltage level at the input This switched cap equivalent resistance is effectively the input impedance to the ADC The equivalent circuit shown in Figure 3 1 is valid for realistic operating conditions and ADC clock rates The circuit in Figure 3 1 is present at any specific analog input during the time that the analog input is being converted and the analog mux is feeding the input into the appropriate sample and hold circuitry During periods when another input is being muxed into the sample and hold circuitry and converted or if no conversion occurs the external circuitry will see a very high input resistance at the analog input pin As an example if the input voltage is 1 volt greater than Vppp 2 and the ADC clock
16. cterize In general a designer will need to determine the required linearity for a particular algorithm and choose the system components accordingly As with gain and offset errors integral and differential non linearity errors can be introduced at any part of the system and are not limited to the ADC The integral and differential non linearity errors are closely related to one another As shown in Figure 2 4 the width of each conversion step of the output code sequence is not the same This non uniformity in step width is the source of the differential and integral non linearity The differential non linearity is the difference in width from the ideal case in each step and is measured in LSBs In the specific case shown in Figure 2 4 the net result of the non linearities is an under representation of the code sequences 011 and 101 which have a negative differential non linearity because the width is less than the ideal 1 LSB bit width The sequence 100 will be over represented and has a positive differential non linearity because the step width is greater than 1 LSB It is possible in some ADCs that the differential non linearity will cause output codes to be missing completely or repeated An ADC s Monotonicity is guaranteed when the digital output codes increase or remain the same with increasing analog input voltage Monotonicity is guaranteed in the 56F800 components A maximum differential non linearity of one 1 LSB or less also ensures a monoto
17. es into account the noise floor of the component and reflects the best achievable dynamic accuracy of the ADC The ENOB reflects the best case achievable noise free number of bits The ENOB number specifically does not include the static gain offset and linearity errors The dynamic range of an ADC refers to the decibel ratio of the smallest to the largest value that can be represented The dynamic range of an ADC is fully dependent on the bits of resolution The following equation calculates the dynamic range of an ADC Dynamic Range 20log9 2 n is the number of bits of resolution 2 4 Measurement Methods Each 56F800 component s ADC is characterized in accordance with IEEE Std 1241 2000 for gain offset DNL INL SNR THD SFDR SINAD and ENOB The Gain offset INL and DNL are performed using the code density method which uses a noise free sine wave Gain and offset are calculated doing a least squared fit from the histogram data obtained from the digitized sine wave 3 Using the 56F800 ADC This section explores some of the issues that must be considered to get the best performance from the ADC in your system and how to choose an appropriate 56F800 component in terms of ADC performance 3 1 Input Impedance An equivalent circuit for an analog input is shown in Figure 3 1 ADC analog input Figure 3 1 Equivalent Analog Input Circuit 1 Parasitic capacitance due to package pin to pin and pin to package base
18. esign or fabricate any integrated circuits or integrated circuits based on the information in this document Freescale Semiconductor reserves the right to make changes without further notice to any products herein Freescale Semiconductor makes no warranty representation or guarantee regarding the suitability of its products for any particular purpose nor does Freescale Semiconductor assume any liability arising out of the application or use of any product or circuit and specifically disclaims any and all liability including without limitation consequential or incidental damages Typical parameters that may be provided in Freescale Semiconductor data sheets and or specifications can and do vary in different applications and actual performance may vary over time All operating parameters including Typicals must be validated for each customer application by customer s technical experts Freescale Semiconductor does not convey any license under its patent rights nor the rights of others Freescale Semiconductor products are not designed intended or authorized for use as components in systems intended for surgical implant into the body or other applications intended to support or sustain life or for any other application in which the failure of the Freescale Semiconductor product could create a situation where personal injury or death may occur Should Buyer purchase or use Freescale Semiconductor products for any such unintended or
19. ge b is the code offset The transfer equations for the resulting conversion code for node A and node B are Ya mXa b and Yb mXb b Using these two equations the ADC transfer gain is m Ya Yb Xa Xb The offset code is b Ya mXa or b Yb mXb Note Using either equation should result in the same answer Finally the resulting code that s been corrected for gain and offset error for any input voltage is X Y b m To obtain an acceptable level of accuracy when converting the calibration node voltages make multiple measurements then average the result Also the resistor values in the calibration network should be 200 ohms or less when operating the ADC at 5MHz The resistor values can double in size when the ADC clock frequency is halved so for an ADC clock frequency of 1MHz during calibration the resistor value in the calibration network could be as large as 1K ohms Example The voltages at nodes A and B were converted by the ADC and found to be 2570 and 1273 respectively The ideal codes that should have resulted from the conversion of the voltage at nodes A and B are Xa 2 3 4095 2730 and Xb 1 3 4095 1365 Therefore the transfer gain m is m Ya Yb Xa Xb 2570 1273 2730 1365 1297 1365 95 The code offset b is 2570 2730 95 23 5 56F800 ADC Rev 2 Freescale Semiconductor Using the ADC s Operational Modes When this ADC is converting an input
20. gle ended or differential signal into a scaled differential signal during the sampling process of Analog to Digital conversion A functional diagram of the interface function is depicted in Figure A 3 56F800 ADC Rev 2 Freescale Semiconductor 15 Conclusion input select mux interface function equivalent ckt 05 C3 analog 500 02 C1 01 amp pos input Ss output amp neg pad 1pf input Out_Pos 3 8pf 02 parasitic z 0 Differential pad amp Vpop 2 Amplifier A pkg cap amp neg 02 1pf 0 amp pos 2 A output VREF 12 input we we Out_Neg for single ended conversions C2 a SQ 2 Vpp 2 c4 02 Figure A 3 Interface Function Functional Block Diagram The interface function depicted in Figure A 3 works on the principle of charge conservation and distribution The switches labeled 0 are closed during the first half of a clock cycle and those labeled 0 are closed during the second half of a clock cycle Also all capacitors are of the same size typically in the picofarad range For a single ended signal during 0 the input signal and Vppr 2 are sampled onto capacitors C1 and C2 During 04 capacitors C1 and C2 are shorted together and charge is redistributed between C1 and C2 so that the voltage on C1 and C2 becomes equal If the input signal were larger than Vppf 2 then the voltage on C1 is reduced and the voltage on C2 is increased during 0 In response to this charge movement the voltage
21. he output of the ADC will go down Figure 3 2 shows a typical circuit for the input of the ADC analog input Rs R R R Output resistance of input buffer R Anti aliasing circuit resistance C Anti aliasing circuit capacitance The value of the anti aliasing capacitor C does not affect the transfer gain or accuracy of the ADC However it does limit the bandwidth of the input signal for anti aliasing considerations Ra py TO input of Input Ro Ca Buffer Figure 3 2 Typical Input Configuration 3 2 Practical ADC Calibration It s recommended that a user implements an auto calibration network on his board so that he can find the gain and offset for the specific ADC that s used in addition to the errors introduced by the aliasing and buffering circuitry A simple calibration network consists of an array of matched precision resistors as shown in Figure 3 3 Node A Node B Veep SKS A A f 0 6666 VreF 0 3333 VREF Figure 3 3 Example Calibration Circuitry 56F800 ADC Rev 2 Freescale Semiconductor 9 Using the 56F800 ADC Calibration is typically used to remove the effects of gain and offset from a specific reading The transfer function relating an ideal code to a measured code that has gain and offset is shown in the following equation Y X b m Where Y is the measured code corresponding to a specific input voltage m is the transfer gain of the ADC X is the ideal code corresponding to this input volta
22. nic transfer function with no missing or repeated codes All 56F800 components have a maximum differential non linearity of 1 LSB or less Output Code 101 100 011 Ideal Transfer Non linear transfer function 010 001 Analog Input LSB N o LO Figure 2 4 Non linear Static Errors 56F800 ADC Rev 2 Freescale Semiconductor 5 ADC Transfer Function and Error Sources Integral non linearity is the summation of the previous differential non linearity errors at any given point In the 56F800 devices integral non linearity is specified by using test equipment to determine the actual transfer function of the ADC then performing a linear regression to produce a best fit straight line for the actual transfer function When the integral non linearity is measured the gain and offset errors are nullified The integral non linearity is specified in LSBs of the conversion code outputs so a specification of 3 LSBs means that at any given analog input the summation of previous differential errors produces an output code where the error from the ideal is within the range of 3 output codes The maximum specification for the integral non linearity is the point of greatest distance of the best fit straight line transfer function from the ideal transfer function and is again expressed in LSBs Output Code 1 01 Real best fit transfer function 100 Ideal Transfer 011 010 001 Analog Input LSB N m lt
23. signal that s at mid scale Vppp 2 it produces a code of 1922 Correcting this result using the offset and gain derived previously yields X Y b m 1922 23 5 95 2048 Using this calibration method corrects for the effects of gain and offset 3 3 Optimizing Linearity and ENOB In order to achieve optimal results in ENOB terms all sources of coupled noise should be minimized These can be from sources internal or external to the chip The ADC has operational sweet spots where the digital noise from its internal environment has a minimal coupling effect These sweet spots occur when the ADC clock prescaler is set to values of 4 9 or 14 If not operating at one of these sweet spots the accuracy of the ADC typically drops by 1 2 of a bit In addition to minimizing the internal noise sources care must be taken in design of the external noise coupling To achieve optimal results the board should have separate analog and digital power and ground planes and very clean Vpprf signals Using these methods the best practically achievable ENOB will be as stated in the Data Sheet Since noise is modeled as a Gaussian distribution the noise power can be lowered through a scheme of oversampling the input and averaging the samples In the averaging process noise spikes will tend to cancel each other out lowering the overall noise power and thus increasing the ENOB SNR improvement is proportional to the amount oversampling and averaging
24. st poll the ADC status register to know when the conversion has been completed Because the ADC peripheral has an internal pipeline the first conversion requires 8 5 ADC clock cycles and each additional conversion requires 6 ADC clock cycles The 2 5 clock cycle difference is the time required to fill the pipeline In the triggered modes or the once mode the pipeline must be filled whenever a sync pulse or START command is issued In the loop mode the pipeline is filled only once at the very beginning of the process 56F800 ADC Rev 2 Freescale Semiconductor Using the ADC s Operational Modes For example the ADC is set up in sequential triggered mode with only the first four samples enabled The number of clock cycles required for the conversion follows Nox Sample conversion Sample conversion Sample2 conversion Sample3 conversion 8 5 6 0 6 0 6 0 26 5 ADC clock cycles The samples which are not to be converted must be disabled in the ADC sample disable register Any samples that are not disabled will be converted and will add to the total ADC conversion time The ADC conversion time calculated previously is only the amount of time the ADC requires to perform the conversion But in a real system the samples must be removed from the result registers using software typically run from an ISR associated with the end of conversion interrupt As an example of this constraint assume a system running
25. unauthorized application Buyer shall indemnify and hold Freescale Semiconductor and its officers employees subsidiaries affiliates and distributors harmless against all claims costs damages and expenses and reasonable attorney fees arising out of directly or indirectly any claim of personal injury or death associated with such unintended or unauthorized use even if such claim alleges that Freescale Semiconductor was negligent regarding the design or manufacture of the part e eo freescale semiconductor Freescale and the Freescale logo are trademarks of Freescale Semiconductor Inc All other product or service names are the property of their respective owners This product incorporates SuperFlash technology licensed from SST Freescale Semiconductor Inc 2004 2005 All rights reserved AN1947 Rev 2 08 2005
26. what they measure and how they are measured It has discussed at a high level the performance characteristics across the family of components but the reader should consult the Data Sheet for the component being implemented to find the latest performance characteristics Additionally it has explored ways to achieve optimal performance out of the ADC as well as some of the modes of operation and performance items to consider 56F800 ADC Rev 2 Freescale Semiconductor 13 Conclusion Appendix A 56F800 ADC Internal Structure This appendix describes the internal structure of the 56F800 ADC peripheral The cyclic ADC designed for the 56F800 components consists of a dual cyclic ADC core dual interface function and an analog input select mux The input select mux routes the analog inputs of choice to either ADC 1 or ADC 2 While in the simultaneous mode both converters are used in a synchronous fashion for converting two signals at the same time The interface function that follows the input select mux samples the single ended or differential input signal and converts it to a scaled differential within the operational range of the ADC The ADC coreconsists of two Redundant Signed Digit RSD sections that resolve one bit of the Analog to Digital conversion during each half ADC sample clock cycle Figure A 1 depicts a top level block diagram of the 56F800 components cyclic converter
27. ync signal going high as depicted in Figure A 6 The input signals to be converted are sampled onto capacitors C1 and C2 shown in Figure A 3 during 9 in preparation for conversion during 8 During 0 the sampled signals are converted to scaled differential signals and passed into the first RSD block shown in Figure A 1 where a data bit is extracted and its capacitors are charged in preparation for calculating the residue The residue from the first RSD stage is then calculated on 0 and passed into the second RSD stage where another data bit is extracted and its capacitors are charged in preparation for calculating the residue The residue in the second stage is then calculated and passed back into the first RSD stage during 9 where another bit is extracted and preparations are made for calculating the residue The resulting residue continues to be passed back and forth between the two RSD stages until the required number of bits have been extracted The signaling diagram shown in Figure A 6 is for a 12 bit extraction Both ADCs sample their input signals on the first full phase 2 prior to the start of ADC conversion ADC conversion starts on the first full phase 1 _ following the rise of the sync signal 02 al 02204 02 04 Os 04 05 04 O2 04 02 04 O2 04 O2 ADC Clock Sync P lt Translation Phase Data rdy RSD Phase Figure A 6 ADC

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