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advertisement 1096/140 Updated Operational Amplifier Selection Guide for Optimum Noise Performance – Design Note 140 Frank Cox Eight years ago, George Erdi wrote a very useful Design Note (DN6) that presented information to aid in the selec- tion of op amps for optimum noise performance, in both graphical and tabular form. Design Note 140 is an update of DN6. It covers new low noise op amps as well as some high speed op amps. Although a great deal has changed in eight years, especially in electronics, noise is still a critical issue in op amp circuit design and the LT ® 1028 is still the lowest noise op amp for low source impedance a pplications. The amount of noise an op amp circuit will produce is determined by the device used, the total resistance in the circuit, the bandwidth of the measurement, the tempera- ture of the circuit and the gain of the circuit. A convenient figure of merit for the noise performance of an op amp is the spectral density or spot noise. This is obtained by normaliz- ing the measurement to a unit of bandwidth. Here the unit is 1Hz and the noise is reported as “nV/ Hz.” The noise in a particular application bandwidth can be calculated by mul- tiplying the spot noise by the square root of the application bandwidth. Some other simplifications are made to facilita te compari- son. For instance, the noise is referred to the input of the circuit so that the effect of the circuit gain, which will vary with application, does not confuse the issue. Also, the calculations assume a temperature of 27 °C or 300°K. The formula used to calculate the spot noise and the schematic of the circuit used are shown in Figure 1. Figures 2 through 4 plot the spot noise of selected op amps vs the equivalent source resistance. The first two plots show precision op amps intended for low frequency applica- tions, whereas the last plot shows high speed voltage- feedback op amps. There are two plots for the low frequency op amps because at very low frequencies (less than about 200Hz) an additional noise mechanism, which is inversely proportional to frequency, becomes important. This is called 1/f or flicker noise. Figure 2 shows slightly higher levels of noise due t o this contribution. , LTC and LT are registered trademarks of Linear Technology Corporation. WHERE: V TR1 , V TR2 AND V TR3 ARE THERMAL NOISE FROM RESISTORS Req = 4kT = (16.56)(10) –21 J R2 + (R1)(R3) R1 + R3 )  ) AND V n IS THE VOLTAGE SPOT NOISE AND I n IS THE CURRENT SPOT NOISE OF THE OP AMP AS GIVEN ON THE DATA SHEET. V = (4kT)R eq + V n 2 + I n 2 (R eq 2 ) IS THE INPUT REFERRED SPOT NOISE IN A 1Hz BANDWIDTH. Figure 1 Studying the formula and the plots leads to several conclu- sions. The values of the resistors used should be as small as possible to minimize noise, but since the feedback resistor is a load on the output of the op amp, it must not be too small. For a small equivalent source resistance, the voltage noise dominates. As the resistance increases, the resistor noise becomes most important. When the source resistance is greater than 100k, the current noise dominates because the contribution of the current noise is proportional to R eq , whereas the resistor noise is proportional to the R eq . For low frequency applications and a source resistance greater than 100k, the LT1169 JFET input op amp is the obvious choice. Not only does the LT1169 have an ex- tremely low current noise of 0.8fA/ Hz , it also has a very low voltage noise of 6nV/ Hz. The LT1169 also has excel- lent DC specifications, with a very low input bias current of 3pA (typical), which is maintained over the input common mode range, and a high gain of 120dB. + I n V n V TR2 R2 V TR3 R3 V TR1 DN140 F01 R1

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    1096/140

    Updated Operational Amplifier Selection Guide forOptimum Noise Performance Design Note 140Frank Cox

    Eight years ago, George Erdi wrote a very useful DesignNote (DN6) that presented information to aid in the selec-tion of op amps for optimum noise performance, in bothgraphical and tabular form. Design Note 140 is an update ofDN6. It covers new low noise op amps as well as some highspeed op amps. Although a great deal has changed in eight

    years, especially in electronics, noise is still a critical issuein op amp circuit design and the LT1028 is still the lowestnoise op amp for low source impedance applications.

    The amount of noise an op amp circuit will produce isdetermined by the device used, the total resistance in thecircuit, the bandwidth of the measurement, the tempera-ture of the circuit and the gain of the circuit. A convenientfigure of merit for the noise performance of an op amp is thespectral density or spot noise. This is obtained by normaliz-ing the measurement to a unit of bandwidth. Here the unit is1Hz and the noise is reported as nV/Hz. The noise in aparticular application bandwidth can be calculated by mul-

    tiplying the spot noise by the square root of the applicationbandwidth.

    Some other simplifications are made to facilitate compari-son. For instance, the noise is referred to the input of thecircuit so that the effect of the circuit gain, which will varywith application, does not confuse the issue. Also, thecalculations assume a temperature of 27C or 300K.

    The formula used to calculate the spot noise and theschematic of the circuit used are shown in Figure 1. Figures2 through 4 plot the spot noise of selected op amps vs theequivalent source resistance. The first two plots show

    precision op amps intended for low frequency applica-tions, whereas the last plot shows high speed voltage-feedback op amps. There are two plots for the lowfrequency op amps because at very low frequencies (lessthan about 200Hz) an additional noise mechanism, whichis inversely proportional to frequency, becomes important.This is called 1/f or flicker noise. Figure 2 shows slightlyhigher levels of noise due to this contribution.

    , LTC and LT are registered trademarks of Linear Technology Corporation.

    WHERE: VTR1, VTR2 AND VTR3 ARE THERMAL NOISE FROM RESISTORS

    Req=

    4kT = (16.56)(10)21 J

    R2 +(R1)(R3)R1 + R3 ))

    AND Vn IS THE VOLTAGE SPOT NOISE AND In IS THE CURRENT SPOT NOISE OF THEOP AMP AS GIVEN ON THE DATA SHEET.

    V = (4kT)Req + Vn2 + In2(Req2)

    IS THE INPUT REFERRED SPOT NOISE IN A 1Hz BANDWIDTH.

    Figure 1

    Studying the formula and the plots leads to several conclu-sions. The values of the resistors used should be as small aspossible to minimize noise, but since the feedback resistoris a load on the output of the op amp, it must not be too small.For a small equivalent source resistance, the voltage noisedominates. As the resistance increases, the resistor noisebecomes most important. When the source resistance isgreater than 100k, the current noise dominates because thecontribution of the current noise is proportional to Req,whereas the resistor noise is proportional to the Req.

    For low frequency applications and a source resistancegreater than 100k, the LT1169 JFET input op amp is theobvious choice. Not only does the LT1169 have an ex-tremely low current noise of 0.8fA/Hz , it also has a verylow voltage noise of 6nV/Hz. The LT1169 also has excel-lent DC specifications, with a very low input bias current of3pA (typical), which is maintained over the input commonmode range, and a high gain of 120dB.

    +

    In

    VnVTR2R2

    VTR3

    R3

    VTR1

    DN140 F01

    R1

  • 7/29/2019 Updated Operational Amplifier Selection Guide for Optimum Noise Performance

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    LINEAR TECHNOLOGY CORPORATION 1996

    LT/GP 1096 155K PRINTED IN THE USALinear Technology Corporation1630 McCarthy Blvd., Milpitas, CA 95035-7417(408) 432-1900q FAX: (408) 434-0507 qTELEX: 499-3977

    For literature on our Operational Amplifiers,call 1-800-4-LINEAR. For applications help,call (408) 432-1900, Ext. 2593

    Table 1. Best Op Amp for Lowest Noise vs Source Resistance

    BEST OP AMP

    SOURCE R (Req) 10Hz PRECISION 1000Hz PRECISION 10kHz HIGH SPEED

    0 to 500 LT1028, LT1115, LT1128 LT1028, LT1115, LT1128 LT1220/21/22/24/25/26

    500 to 1.5k LT1007, LT1037 LT1028, LT1115, LT1128 LT1220/21/22/24/25/26

    1.5k to 3k LT1124/25/26/27 LT1028, LT1115, LT1128 LT1220/21/22/24/25/26

    3k to 5k LT1124/25/26/27 LT1007, LT1037 LT1220/21/22/24/25/26

    5k to 10k LT1124/25/26/27 LT1124/25/26/27 LT1354/57/60/63

    10k to 20k LT1001/02 LT1113, LT1124/25/26/27 LT1354/57/60/63

    20k to 100k LT1001/02 LT1055/56/57/58, LT1113, LT1169 LT1351

    100k to 1M LT1022, LT1055/56/57/58, LT1022, LT1055/56/57/58, LT1113 LT1351LT1113, LT1122, LT1169 LT1122, LT1169, LT1457

    1M to 10M LT1022, LT1055/56/57/58, LT1022, LT1055/56/57/58, LT1113LT1113, LT1122, LT1169 LT1122, LT1169, LT1457

    High speed op amps, here defined by slew rates greater than100V/s, are plotted in Figure 4. These op amps come in awider range of speeds than the precision op amps plotted inFigures 2 and 3. The faster parts will generally have slightlymore spot noise, but because they will most likely beselected on the basis of speed, a selection of parts is plotted.For example, the LT1354LT1363 (these are single opamps; duals and quads are available) are close in noise

    performance and consequently cluster close together on theplot, but have a speed range of 12MHz GBW to 70MHz GBW.

    The same information is presented in tabular form inTable 1. EQUIVALENT SOURCE RESISTANCE ()

    1

    3

    30

    300

    SPOT

    NOISE

    (nV/Hz) 100

    1000

    10 100k 10M

    DN140 F03

    0.31k 10k 1M100

    10

    LT1028LT1128

    LT1124

    LT1169

    RESISTOR NOISE ONLY

    LT1007LT1037

    EQUIVALENT SOURCE RESISTANCE ()

    1

    3

    30

    300

    SPOT

    NOISE

    (nV/Hz) 100

    1000

    10 100k 10M

    DN140 F02

    0.31k 10k 1M100

    10

    LT1028LT1128 LT1001

    LT1124

    LT1169LT1007LT1037

    RESISTOR NOISE ONLY

    Figure 4. 10kHz Spot Noise vs Equivalent Source Resistance(High Speed Amplifiers)

    EQUIVALENT SOURCE RESISTANCE ()

    1

    3

    30

    300

    SPOT

    NOISE

    (nV/Hz) 100

    1000

    10 100k 1M

    DN140 F04

    0.31k 10k100

    10

    LT1351

    RESISTOR NOISE ONLY

    LT1220LT1221LT1222LT1224

    LT1225LT1226

    LT1334LT1357LT1360LT1363

    Figure 3. 1kHz Spot Noise vs Equivalent Source Resistance

    Figure 2. 10Hz Spot Noise vs Equivalent Source Resistance