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    DAC/ADC

    by

    D.V.Kamat , Faculty

    Department of E&C Engg., MIT

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    Digital versus Analog

    Most values are analog in nature

    -temperature , speed ,pressure , position etc

    Digital systems are used to process information

    -CDs,MP3,DVDs

    Need to convert an analog signal in to digital value Perform digital operations on data

    Need to convert the digital result back into an

    analog quantity

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    DAC & ADC

    DAC Digital-to-Analog Converter

    Converts n-bit digital value to an analog voltage

    ADC

    Analog-to-Digital ConverterConverts analog voltage to a digital value

    ADC and DAC operations are required at the

    input and output from a digital processingsystem that deals with analog quantities.

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    4

    Digital to Analog Converter

    What is a digital to analog converter (DAC)?

    Converts digital input signal to an analog output

    signal

    0

    10

    1

    0

    01

    1

    0

    11

    1

    1

    00

    1

    1

    00

    1

    1

    01

    0

    1

    01

    1 DAC

    http://www.ti.com/ww/de/graphics/shared/icn-dac-symbol.gif
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    Types of DACs

    Binary Weighted Resistor DAC

    R/2R Ladder DAC

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    Binary Weighted Resistor DAC

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    Binary Weighted Resistor DAC

    Analysis

    Recall inverting summer Op-Amp:

    Set the input resistor values at

    multiple powers of two.

    Using KCL and Op-Amp properties

    V(-) = V(+) = 0 V

    Inverting summer Op-Amp

    Starting from V1 and going through V3, this would give each input

    voltage exactly half the effect on the output as the voltage before it.

    R

    V

    R

    V

    R

    VRVout

    42

    321

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    8

    Binary Weighted Resistor DAC

    The output will be:

    )2

    ...2

    ( 1021

    Rb

    Rb

    RbRVrefVs n

    nn

    )2...22(2

    _012

    2

    1

    1

    1bbbb

    VrefVs n

    n

    n

    n

    n

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    Binary Weighted Resistor DAC

    Example:

    )248(8

    _ 0123 bbbbVrefVout

    4n

    VrefVref

    Vout8

    3))1(1)1(2)0(4)0(8(

    8

    _

    )2...22(2

    _012

    2

    1

    1

    1bbbb

    VrefVsV n

    n

    n

    n

    nout

    refreffs VVV 9375.02

    12

    4

    4

    Full scale voltage:

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    Binary Weighted Resistor DAC

    Advantage

    Easy design principle

    Disadvantages Requirement of several

    different precise inputresistor values: one

    unique value per binaryinput bit. (High bit DACs)

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    11

    Resolution

    The variation of the output voltage corresponding to

    the variation of the least significant binary bit (LSB)

    Inversely proportional to the number of bits

    NLSB

    VV

    2Resolution Ref

    http://www.google.co.in/imgres?imgurl=http://www.ti.com/ww/de/graphics/shared/icn-adc-symbol.gif&imgrefurl=http://www.ti.com/ww/de/prod_dc.html&h=34&w=41&sz=1&tbnid=6LPvJnW_OPRL3M:&tbnh=34&tbnw=41&prev=/images?q=ADC+symbol&zoom=1&q=ADC+symbol&hl=en&usg=__ZquR_5jyZZLvqda6-OeefYmauMc=&sa=X&ei=5sXCTOOSM4quvgOTuOzSCA&ved=0CCYQ9QEwBA
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    An analog-to-digital converter (abbreviated ADC, A/D

    or A to D) is a device that converts a continuousquantity to a discretedigital number.

    ADC output may be fed to Digital displays in

    consumer electronic applications and accuracy ofthese consumer electronic applications depend on

    the accuracy of the A/D conversion.

    Resolution is a function of the number of data bits inthe ADC output. Resolution has a direct impact on

    the accuracy of the ADC system

    ADC Analog-to-Digital Converter

    http://en.wikipedia.org/wiki/Discrete_signalhttp://en.wikipedia.org/wiki/Digitalhttp://www.google.co.in/imgres?imgurl=http://www.ti.com/ww/de/graphics/shared/icn-adc-symbol.gif&imgrefurl=http://www.ti.com/ww/de/prod_dc.html&h=34&w=41&sz=1&tbnid=6LPvJnW_OPRL3M:&tbnh=34&tbnw=41&prev=/images?q=ADC+symbol&zoom=1&q=ADC+symbol&hl=en&usg=__ZquR_5jyZZLvqda6-OeefYmauMc=&sa=X&ei=5sXCTOOSM4quvgOTuOzSCA&ved=0CCYQ9QEwBAhttp://en.wikipedia.org/wiki/Digitalhttp://en.wikipedia.org/wiki/Discrete_signal
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    A digital signal is an approximation of an analog one

    ADC Analog-to-Digital Converter

    http://en.wikipedia.org/wiki/File:ADC_voltage_resolution.svg
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    14

    Types of ADC are as follows:

    1. Counter type ADC

    2. Successive approximation type ADC

    3. Flash type ADC or Direct conversion ADC

    Types Of ADC

    http://en.wikipedia.org/wiki/Flash_ADC
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    A direct conversion ADC or flash ADC (also called

    parallel A/D converter) consists of a bank of

    comparators, each one comparing the input signal to

    a unique reference voltage. The comparator outputs

    are given to the inputs of a priority encoder circuit,

    which then produces a binary output for each voltagerange.

    A bank ofcomparators compare the input signal in

    parallel with different reference voltages.

    Flash ADC

    http://en.wikipedia.org/wiki/Flash_ADChttp://en.wikipedia.org/wiki/Comparatorhttp://en.wikipedia.org/wiki/Flash_ADChttp://en.wikipedia.org/wiki/Flash_ADChttp://en.wikipedia.org/wiki/Comparatorhttp://en.wikipedia.org/wiki/Flash_ADChttp://en.wikipedia.org/wiki/Flash_ADChttp://en.wikipedia.org/wiki/Flash_ADC
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    3-bit flash ADC circuit

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    Vrefis a stable reference voltage provided by a precision voltage

    regulator.As the analog input voltage exceeds the reference voltage at each

    comparator, the comparator outputs will change or saturate to a

    high state.

    The priority encoder generates a binary number based on the

    highest-order active input, ignoring all other active inputs.

    Fl h C t l

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    Flash Converter example

    Fl h C t l

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    Flash Converter example

    Number of comparators = number of quantization levels

    Converterinput

    Comparator Outputs Encoder Output

    range (V) A B C D E F G

    < 1 0 0 0 0 0 0 0 000>1-2 1 0 0 0 0 0 0 001>2-3 1 1 0 0 0 0 0 010>3-4 1 1 1 0 0 0 0 011>4-5 1 1 1 1 0 0 0 100>5-6 1 1 1 1 1 0 0 101>6-7 1 1 1 1 1 1 0 110>7 1 1 1 1 1 1 1 111

    M it d d it f Fl h ADC

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    Benefits :

    i. Flash converters are extremely fast compared to many other

    types of ADCs. Direct conversion is very fast, capable of

    gigahertz sampling rates. Hence , flash ADCs are employed in

    Gigahertz applications like radar detection, wide band radioreceivers and optical communication links.

    ii. Construction and design procedure of Flash converter is

    simple and straight forward.

    iii. They are accurate, and easy to operate.iv. They are often used forvideo, wideband communications, or

    other fast signals in optical storage

    Merits and demerits of Flash ADC

    M i d d i f Fl h A

    http://en.wikipedia.org/wiki/Gigahertzhttp://en.wikipedia.org/wiki/Videohttp://en.wikipedia.org/wiki/Optical_storagehttp://en.wikipedia.org/wiki/Optical_storagehttp://en.wikipedia.org/wiki/Optical_storagehttp://en.wikipedia.org/wiki/Optical_storagehttp://en.wikipedia.org/wiki/Videohttp://en.wikipedia.org/wiki/Gigahertz
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    Drawbacks :

    i. A Flash converter requires a huge number of comparators

    compared to other ADCs, especially as the precision

    increases.

    ii. The 3-bit flash ADC requires 7 comparators. A 4-bit versionwould require 15 comparators. A Flash converter requires

    comparators for an n-bit conversion. The number of

    comparators needed, doubles with each additional bit,

    requiring a large expensive circuit. ADCs of this type have alarge die size, a high input capacitance, high power

    dissipation.

    iii. The size and cost of all those comparators makes Flash

    converters generally impractical for precisions much greater

    than 8 bits (255 comparators).

    Merits and demerits of Flash ADC

    http://en.wikipedia.org/wiki/Comparatorhttp://en.wikipedia.org/wiki/Die_(integrated_circuit)http://en.wikipedia.org/wiki/Capacitancehttp://en.wikipedia.org/wiki/Capacitancehttp://en.wikipedia.org/wiki/Die_(integrated_circuit)http://en.wikipedia.org/wiki/Comparator
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    -

    +

    D-AConverter

    Counterclock and

    control logic

    comparitor

    analogue input

    Counter-ramp ADC

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    Comprises a D-A converter, a single comparator, a counter, a clock

    and control logicWhen a conversion is required

    A signal (conversion request) is sent to the converter and thecounter is reset to zero

    a clock signal increments the counter until the reference voltagegenerated by the D-A converter is greater than the analogueinput

    At this point in time the output of the comparator goes to alogic 1, which notifies the control logic the conversion has

    finished

    The value of the counter is output as the digital value

    Counter-ramp ADC

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    END