US3307173A - Transient reduction in digital-to analog converters - Google Patents

Transient reduction in digital-to analog converters Download PDF

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US3307173A
US3307173A US360464A US36046464A US3307173A US 3307173 A US3307173 A US 3307173A US 360464 A US360464 A US 360464A US 36046464 A US36046464 A US 36046464A US 3307173 A US3307173 A US 3307173A
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ladder
digital
voltage
output
sections
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Alfred E Popodi
Charles R Pearman
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00Analogue/digital conversion; Digital/analogue conversion
    • H03M1/06Continuously compensating for, or preventing, undesired influence of physical parameters
    • H03M1/08Continuously compensating for, or preventing, undesired influence of physical parameters of noise
    • H03M1/0863Continuously compensating for, or preventing, undesired influence of physical parameters of noise of switching transients, e.g. glitches
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00Analogue/digital conversion; Digital/analogue conversion
    • H03M1/66Digital/analogue converters
    • H03M1/74Simultaneous conversion

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  • This invention relates to digital-to-analog converters and is particularly directed to means for reducing switching transients in the analog output circuit.
  • the conventional digital-to-analog converter comprises a ladder network of resistances, the input of a summing amplifier connected to one end of the ladder, and switches for applying either of two voltages, corresponding to logical 1s and Os, to each of the sections of the ladder.
  • An object of this invention is to provide an improved digital-to-analog converter.
  • a more specific object of this invention is to provide a digital-to-analog converter in which the switching transients are minimized.
  • the objects of this invention are attained by constructing two ladder networks and connecting the output terminals of each ladder into a summing amplifier.
  • the digits of the binary number to be converted are fed into the principal ladder through conventional switching elements
  • the digit voltages are at the same time fed into corresponding sections of the auxiliary ladder through differentiating R.C. networks to simultaneously produce a voltage spike at each resistance section corresponding to the expected transient spike in the principal ladder.
  • the two simultaneous spikes for corresponding sections are equal distances from the output terminal and may be so polarized as to oppose and neutralize each other in the output circuit.
  • Each differentiating network is easily adjusted so as to balance out each switching transient.
  • FIG, 1 is a block diagram of the digital-to-analog converter of this invention
  • FIG. 2 is a schematic circuited diagram of one principal resistance ladder network of the type which may be used in the system of FIG. 1;
  • FIG. 3 is a graph of the output voltage of the converter of this invention.
  • FIG. 4 is a schematic circuit diagram of the auxiliary resistance ladder of the system of FIG. 1.
  • each digit of the digital number is applied simultaneously to corresponding inputs of the auxiliary ladder 14.
  • the output of the auxiliary ladder is connected directly to the junction 13.
  • the conventional summing operational amplifier 15 is employed with the resistive feedback 16 connected between the output of the amplifier and the summing point 13 at the input of the amplifier.
  • the output of the auxiliary ladder contains voltage spikes which are equal in amplitude and opposed in phase to the transient voltage spikes created by the switching circuits in the principal ladder 12.
  • FIG, 3 shows the graph of a sweep voltage that could be applied to one pair of deflection plates where the deflection voltage descends from a miximum voltage value of one polarity to a maximum voltage of opposite polarity.
  • the switch of the most significant binarydigit at the input of the counter operates. It has been found that the current of the most significant bit, when turned off, changes rapidly as shown at 18A, FIG. 3, whereas the bits of the other digits change slowly, as shown at 18B.
  • the problem of generating a smooth ramp is acute since the cathode ray beam remains on during the entire ramp period. Tansients on the ramp not only appear as undesired deflections but also as intensity changes with the changing duty cycle of the logic inputs. Intensity changes confuse the video data input which is presented as intensity modulations on the control grid of the cathode ray tube.
  • the generation of accurate, fast and spike free ramp functions by digital means has presented diflicult problems because spike amplitudes with less than one-tenth of one percent of full CRT deflection can be easily seen by the operator.
  • the object of this invention is to eliminate the voltage spikes shown at 18 in FIG. 3 from the sweep voltage of the converter.
  • FIG. 2 shows a simplified diagram of a digital-to-analog converter using a resistance ladder network with the associated summing amplifier 15 at the output terminal of the ladder.
  • the amplifier 15 converts the ladder output current to its voltage equivalent.
  • the series resistances 30 are uniformly of one unit of resistance while the shunt resistances 31 are each two units of resistance.
  • the left end of the ladder is grounded through the terminal resistance 32, also of two units of resistance.
  • the junction 13 is connected to the right hand end or output of the ladder.
  • the number of sections in the ladder network correspond, of course, with the number of significant places in the binary number to be converted. Each logical 0 or 1 from the least to the most significant digit is applied to the control circuit 33 from the binary number source 11.
  • the particular switching elements shown comprise transistors 34.
  • the transistors are of the NPN type so that any one of the transistors can be turned off by a negative base voltage.
  • the collector When turned otf, the collector will be clamped at the reference potential applied, in all sections, to the terminal 35.
  • the collector is connected through the diode 36 to the terminal, the diode being forwardly biased through high resistances 35.
  • the various voltage divisions are summed at point 13 according to the significance of the digits involved.
  • Zero logic inputs to terminals 33 causes the transistors to turn on and ground the reference voltage. It has been found that the negative going edge of the binary pulse at input terminals 33 which turns off the transistor is always slower than the positive going edge. The negative going edge of the switching voltage turns the ladder bit current on, and the turn-on of a ladder current is always slower than its turn-off time. In addition to this there exists the inherent time delay between the triggered and the non-triggered output side of the fiip-fllops of the counter register 11 which is the source of the binary digits. When the most significant bit is switched off by a relatively fast positive-going switching pulse edge, the other bits are simultaneously switched on by their relatively slower negative-going inputs. This causes a current deficiency in the ramp producing a negative current spike. Likewise, other spikes are generated at different times by the ladder bits. Fortunately, all transients have the same polarity which is negative in the example here assumed.
  • Novel means for spike compensation according to this invention are shown in FIG. 4.
  • compensation is achieved by adding weighted, positive, correcting currents to the operational amplifier.
  • these compensating currents are derived from the same binary source that drives the digital-to-analog converter 12. That is, the compensating current is derived from the logic switching voltage itself.
  • the necessary weighting is performed in a simple auxiliary ladder network so proportioned as to simulate the propagation delays in the main ladder, FIG. 2, of the converter.
  • ladder 14 comprises series resistance 4-0 and shunt resistances 41 of the same relative values as resistances 30 and 31 of the principal ladder network, FIG. 2.
  • the auxiliary ladder is similarly terminated at each end and the output end is connected to the summing point 13.
  • Each shunt resistor 41 is connected to the digital input through a differentiating circuit.
  • the differentiating circuit comprises, here, the series coupling condenser 44 and the grounded shunt resistance 45.
  • the resistance 45 is paralleled with the diode 46 and is connected between the condenser 44 and ground.
  • Resistances 47 are for isolating and voltage dividing. Because of the polarization of diode 46, only positive correcting pulses can enter the auxiliary ladder. Negative going switching voltages are clamped to ground by diode 46 and cannot contribute negative corrections.
  • Resistors 45 can each be made variable to permit optimizing the corrective effect of each digit.
  • the operating speed of the converter can be increased and where the output of the converter is employed to generate a sweep voltage the elimination of transients is particularly important.
  • the polarities of voltages and component values may, of course, be changed without departing from the scope of this invention.
  • each network including a plurality of serially connected attenuation sections corresponding in number to the number of said binary digits, said networks having a common output terminal,
  • means to buck transient voltages at said output terminal generated by said contributing elements comprising a diiferentiating circuit connected between each attenuating section of said second ladder network and one terminal of said register for generating voltage spikes equal and opposite in polarity to said transient voltages.
  • a ladder network including a plurality of serially connected attenuation sections corresponding in number of the binary digits.
  • means to minimize transient switching voltages at the input of said amplifier comprising a plurality of differentiating circuits, said differentiating circuits being connected, respectively, between each output terminal of said register and the input of said amplifier.
  • a principal resistance ladder network said network including a plurality of serially connected attenuation sections, said sections corresponding in number to the number of digits,
  • auxiliary ladder including a plurality of serially connected attenuation sections corresponding to the sections of said principal ladder
  • difierentiating circuits connected, respectively, between each register output terminal and each section of said auxiliary ladder and means for adjusting the amplitude of each differentiated voltage to equal and oppose each switch transient voltage of said principal ladder.

Description

Feb. 28 1967 PQPODI ETAL 3,307,173
TRANSIENT REDUCTION IN DIGITAL-TO-ANALOG CONVERTERS Filed April 16, 1964 2 Sheets-Sheet 1 I4 AUXILIARY LADDER CRT j /5 DEFLECTION v v /9 DIGITAL TO ANALOG LADDER --I /3 LLl/O H I ,5 I A 1 I COUNTER-REGISTER DIGITAL POSITION INPUT CLOCK, START AND STOP FROM AUXILIARY LADDER ANALOG OUTPUT 2 d MSB MB DIGITAI. DIGITAL DIGITAL INPUT INPUT INPUT INVENTORS ALFRED 5. POPOD/ CHARLES R. PEARMAN BY ATTO G/VEYS Feb. 28, 1967 A. E. POPODI ETAL TRANSIENT REDUCTION IN DIGITAL-TO"ANALOG CONVERTERS Filed April 16, 1964 2 Sheets-Sheet 2 ALL LADDER BITS ON T N E R R U C ALL L'ADDER BITS OFF TlME MSB (CURRENT TURNED OFF) ALL omen B lTS TURNED ON men/u. DIGITAL INPUT INPUT INVENTORS ALFRED E. POPOD/ BY CHARL E5 R. PEA RMAN United States Patent ()fitice 3,307,173 Patented Feb. 28, 1967 3,307,173 TRANSIENT REDUCTION IN DIGITAL-TO- ANALOG CONVERTERS Alfred E. Popodi, Glen Burnie, and Charles Pearman, Baltimore, Md., assignors, by mesne assignments, to the United States of America as represented by the Secretary of the Navy Filed Apr. 16, 1964, Ser. No. 360,464 4 Claims. (Cl. 340347) This invention relates to digital-to-analog converters and is particularly directed to means for reducing switching transients in the analog output circuit.
The conventional digital-to-analog converter comprises a ladder network of resistances, the input of a summing amplifier connected to one end of the ladder, and switches for applying either of two voltages, corresponding to logical 1s and Os, to each of the sections of the ladder.
-Where high switch speeds are employed and measurable currents are interrupted transient voltages inevitably result. Smoothing condensers cannot be employed in the output circuit because of the non-uniform nature of the transients arriving at the output from different points along the ladder. Added capacity, of course, reduces the speed with which the converter can be operated.
An object of this invention is to provide an improved digital-to-analog converter.
A more specific object of this invention is to provide a digital-to-analog converter in which the switching transients are minimized.
The objects of this invention are attained by constructing two ladder networks and connecting the output terminals of each ladder into a summing amplifier. The digits of the binary number to be converted are fed into the principal ladder through conventional switching elements The digit voltages are at the same time fed into corresponding sections of the auxiliary ladder through differentiating R.C. networks to simultaneously produce a voltage spike at each resistance section corresponding to the expected transient spike in the principal ladder. The two simultaneous spikes for corresponding sections are equal distances from the output terminal and may be so polarized as to oppose and neutralize each other in the output circuit. Each differentiating network is easily adjusted so as to balance out each switching transient.
Other objects and features of this invention will become apparent to those skilled in the art by referring to the preferred embodiment described in the following specification and shown in the accompanying drawings'in which:
FIG, 1 is a block diagram of the digital-to-analog converter of this invention;
FIG. 2 is a schematic circuited diagram of one principal resistance ladder network of the type which may be used in the system of FIG. 1;
FIG. 3 is a graph of the output voltage of the converter of this invention; and
FIG. 4 is a schematic circuit diagram of the auxiliary resistance ladder of the system of FIG. 1.
Referring to FIG. 1, it will be assumed that the two voltages representing the logical ones and zeros of each of the significant places in a binary number appear in parallel on 11 output lines, 10, of the counter-register 11. The digital number is converted in the principal resistance ladder 12 to a voltage at junction 13 corresponding in amplitude to the digital number. Details of one resist ance ladder 12 are shown by way of example in FIG. 2.
According to this invention, each digit of the digital number is applied simultaneously to corresponding inputs of the auxiliary ladder 14. The output of the auxiliary ladder is connected directly to the junction 13. To convert the currents added at junction 13 to an analog voltage, the conventional summing operational amplifier 15 is employed with the resistive feedback 16 connected between the output of the amplifier and the summing point 13 at the input of the amplifier. As will appear below, the output of the auxiliary ladder contains voltage spikes which are equal in amplitude and opposed in phase to the transient voltage spikes created by the switching circuits in the principal ladder 12.
It will be assumed that a sweep voltage is to be generated and that the analog output of the amplifier 15 is applied to the deflection circuit of the cathode ray tube 19 where the most minute transients can be seen on the screen. FIG, 3 shows the graph of a sweep voltage that could be applied to one pair of deflection plates where the deflection voltage descends from a miximum voltage value of one polarity to a maximum voltage of opposite polarity. At the center of the deflection the switch of the most significant binarydigit at the input of the counter operates. It has been found that the current of the most significant bit, when turned off, changes rapidly as shown at 18A, FIG. 3, whereas the bits of the other digits change slowly, as shown at 18B.
The problem of generating a smooth ramp is acute since the cathode ray beam remains on during the entire ramp period. Tansients on the ramp not only appear as undesired deflections but also as intensity changes with the changing duty cycle of the logic inputs. Intensity changes confuse the video data input which is presented as intensity modulations on the control grid of the cathode ray tube. The generation of accurate, fast and spike free ramp functions by digital means has presented diflicult problems because spike amplitudes with less than one-tenth of one percent of full CRT deflection can be easily seen by the operator. As stated, the object of this invention is to eliminate the voltage spikes shown at 18 in FIG. 3 from the sweep voltage of the converter.
FIG. 2 shows a simplified diagram of a digital-to-analog converter using a resistance ladder network with the associated summing amplifier 15 at the output terminal of the ladder. The amplifier 15 converts the ladder output current to its voltage equivalent. The series resistances 30 are uniformly of one unit of resistance while the shunt resistances 31 are each two units of resistance. The left end of the ladder is grounded through the terminal resistance 32, also of two units of resistance. The junction 13 is connected to the right hand end or output of the ladder. The number of sections in the ladder network correspond, of course, with the number of significant places in the binary number to be converted. Each logical 0 or 1 from the least to the most significant digit is applied to the control circuit 33 from the binary number source 11.
The particular switching elements shown comprise transistors 34. The transistors are of the NPN type so that any one of the transistors can be turned off by a negative base voltage. When turned otf, the collector will be clamped at the reference potential applied, in all sections, to the terminal 35. The collector is connected through the diode 36 to the terminal, the diode being forwardly biased through high resistances 35. Hence when the various transistors are turned off and the collectors are clamped to a positive voltage, in the example shown, the various voltage divisions are summed at point 13 according to the significance of the digits involved.
Zero logic inputs to terminals 33 causes the transistors to turn on and ground the reference voltage. It has been found that the negative going edge of the binary pulse at input terminals 33 which turns off the transistor is always slower than the positive going edge. The negative going edge of the switching voltage turns the ladder bit current on, and the turn-on of a ladder current is always slower than its turn-off time. In addition to this there exists the inherent time delay between the triggered and the non-triggered output side of the fiip-fllops of the counter register 11 which is the source of the binary digits. When the most significant bit is switched off by a relatively fast positive-going switching pulse edge, the other bits are simultaneously switched on by their relatively slower negative-going inputs. This causes a current deficiency in the ramp producing a negative current spike. Likewise, other spikes are generated at different times by the ladder bits. Fortunately, all transients have the same polarity which is negative in the example here assumed.
Novel means for spike compensation according to this invention are shown in FIG. 4. For the downgoing current ramp here assumed, where all transients have negative polarities, compensation is achieved by adding weighted, positive, correcting currents to the operational amplifier. According to this invention these compensating currents are derived from the same binary source that drives the digital-to-analog converter 12. That is, the compensating current is derived from the logic switching voltage itself. The necessary weighting is performed in a simple auxiliary ladder network so proportioned as to simulate the propagation delays in the main ladder, FIG. 2, of the converter.
In FIG. 4, ladder 14 comprises series resistance 4-0 and shunt resistances 41 of the same relative values as resistances 30 and 31 of the principal ladder network, FIG. 2. The auxiliary ladder is similarly terminated at each end and the output end is connected to the summing point 13. Each shunt resistor 41 is connected to the digital input through a differentiating circuit. The differentiating circuit comprises, here, the series coupling condenser 44 and the grounded shunt resistance 45. The resistance 45 is paralleled with the diode 46 and is connected between the condenser 44 and ground. Resistances 47 are for isolating and voltage dividing. Because of the polarization of diode 46, only positive correcting pulses can enter the auxiliary ladder. Negative going switching voltages are clamped to ground by diode 46 and cannot contribute negative corrections. Resistors 45 can each be made variable to permit optimizing the corrective effect of each digit.
The component values shown in the drawings have been successfully used for to 8 voltage logic signals With approximately 220 nanoseconds rise and 80 nanoseconds fall times. There was a 7 to 1 reduction in the transient amplitude and the equally important decrease in pulse duration was about to 1.
By connecting the auxiliary ladder in parallel with the digital-to-analog converter, the operating speed of the converter can be increased and where the output of the converter is employed to generate a sweep voltage the elimination of transients is particularly important. The polarities of voltages and component values may, of course, be changed without departing from the scope of this invention.
What is claimed is:
1. In combination in a digital-to-analog converter;
a register having a series of output terminals for generating binary digit voltages of progressive significance,
a first and a second ladder network, each network including a plurality of serially connected attenuation sections corresponding in number to the number of said binary digits, said networks having a common output terminal,
a source of reference potential,
a plurality of switch elements, said elements being connected, respectively, between said reference source and the sections of said first ladder network and being responsive, respectively, to different digit voltages to selectively add the attenuation of different sections to produce a voltage at said output terminal which is the analog of the digital number of said register,
means to buck transient voltages at said output terminal generated by said contributing elements comprising a diiferentiating circuit connected between each attenuating section of said second ladder network and one terminal of said register for generating voltage spikes equal and opposite in polarity to said transient voltages.
2. In combination in a digital-to-analog converter;
a register having a series of output terminals for generating binary digit voltages of progressive significance,
a ladder network including a plurality of serially connected attenuation sections corresponding in number of the binary digits.
a summing amplifier connected to the output terminal of said network,
a source of reference potential,
a plurality of switch elements, said elements being connected respectively between said reference source and the sections of said ladder network and being responsive, respectively, to said binary voltages,
means to minimize transient switching voltages at the input of said amplifier comprising a plurality of differentiating circuits, said differentiating circuits being connected, respectively, between each output terminal of said register and the input of said amplifier.
3. In combination in a digital-to-analog converter;
a register having a series of output terminals for a series of binary number digits,
a principal resistance ladder network, said network including a plurality of serially connected attenuation sections, said sections corresponding in number to the number of digits,
a summing amplifier connected to the output end of said ladder,
an auxiliary ladder, said auxiliary ladder including a plurality of serially connected attenuation sections corresponding to the sections of said principal ladder,
difierentiating circuits connected, respectively, between each register output terminal and each section of said auxiliary ladder and means for adjusting the amplitude of each differentiated voltage to equal and oppose each switch transient voltage of said principal ladder.
4. The combination defined in claim 3 further comprising a cathode ray tube, one deflection circuit of said tube being connected to the output of said summing amplifier.
No references cited.
MAYNARD R. WILBUR, Primary Examiner.
J. WALLACE, Assistant Examiner.

Claims (1)

1. IN COMBINATION IN A DIGITAL-TO-ANALOG CONVERTER; A REGISTER HAVING A SERIES OF OUTPUT TERMINALS FOR GENERATING BINARY DIGIT VOLTAGES OF PROGRESSIVE SIGNIFICANCE, A FIRST AND A SECOND LADDER NETWORK, EACH NETWORK INCLUDING A PLURALITY OF SERIALLY CONNECTED ATTENUATION SECTIONS CORRESPONDING IN NUMBER TO THE NUMBER OF SAID BINARY DIGITS, SAID NETWORKS HAVING A COMMON OUTPUT TERMINAL, A SOURCE OF REFERENCE POTENTIAL, A PLURALITY OF SWITCH ELEMENTS, SAID ELEMENTS BEING CONNECTED, RESPECTIVELY, BETWEEN SAID REFERENCE SOURCE AND THE SECTIONS OF SAID FIRST LADDER NETWORK AND BEING RESPONSIVE, RESPECTIVELY, TO DIFFERENT DIGIT VOLTAGES TO SELECTIVELY ADD THE ATTENUATION OF DIFFERENT SECTIONS TO PRODUCE A VOLTAGE AT SAID OUTPUT TERMINAL WHICH IS THE ANALOG OF THE DIGITAL NUMBER OF SAID REGISTER,
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Cited By (15)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3381290A (en) * 1964-09-17 1968-04-30 Ibm Function generator system
US3427609A (en) * 1964-11-17 1969-02-11 Bendix Corp Electronic step integrator
US3462757A (en) * 1964-11-12 1969-08-19 Westinghouse Electric Corp Memory and conversion circuit
US3508249A (en) * 1966-04-04 1970-04-21 Gordon Eng Co Digital-to-analog converter
US3594782A (en) * 1969-03-20 1971-07-20 Bell Telephone Labor Inc Digital-to-analog conversion circuits
US3665458A (en) * 1970-05-14 1972-05-23 Boeing Co Capacitor ladder network
US3683165A (en) * 1970-07-23 1972-08-08 Computer Sciences Corp Four quadrant multiplier using bi-polar digital analog converter
US3728719A (en) * 1972-03-20 1973-04-17 Us Navy R-2r resistive ladder, digital-to-analog converter
US3984830A (en) * 1974-10-18 1976-10-05 Westinghouse Electric Corporation Complementary FET digital to analog converter
US4020485A (en) * 1972-04-03 1977-04-26 Ampex Corporation Non-linear digital-to-analog converter for servo circuit
US4616212A (en) * 1985-03-07 1986-10-07 Xerox Corporation Two stage weighted capacitor digital to analog converter
US5134400A (en) * 1991-01-07 1992-07-28 Harris Corporation Microwave multiplying D/A converter
EP0539116A2 (en) * 1991-10-25 1993-04-28 Western Atlas International, Inc. Method and apparatus for generating correction signals for forming low distortion analog signals
US10784886B1 (en) 2019-09-27 2020-09-22 Nxp Usa, Inc. Segmented digital to analog converter
US10790848B2 (en) 2018-06-04 2020-09-29 Nxp Usa, Inc. Segmented resistive digital to analog converter

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
None *

Cited By (16)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3381290A (en) * 1964-09-17 1968-04-30 Ibm Function generator system
US3462757A (en) * 1964-11-12 1969-08-19 Westinghouse Electric Corp Memory and conversion circuit
US3427609A (en) * 1964-11-17 1969-02-11 Bendix Corp Electronic step integrator
US3508249A (en) * 1966-04-04 1970-04-21 Gordon Eng Co Digital-to-analog converter
US3594782A (en) * 1969-03-20 1971-07-20 Bell Telephone Labor Inc Digital-to-analog conversion circuits
US3665458A (en) * 1970-05-14 1972-05-23 Boeing Co Capacitor ladder network
US3683165A (en) * 1970-07-23 1972-08-08 Computer Sciences Corp Four quadrant multiplier using bi-polar digital analog converter
US3728719A (en) * 1972-03-20 1973-04-17 Us Navy R-2r resistive ladder, digital-to-analog converter
US4020485A (en) * 1972-04-03 1977-04-26 Ampex Corporation Non-linear digital-to-analog converter for servo circuit
US3984830A (en) * 1974-10-18 1976-10-05 Westinghouse Electric Corporation Complementary FET digital to analog converter
US4616212A (en) * 1985-03-07 1986-10-07 Xerox Corporation Two stage weighted capacitor digital to analog converter
US5134400A (en) * 1991-01-07 1992-07-28 Harris Corporation Microwave multiplying D/A converter
EP0539116A2 (en) * 1991-10-25 1993-04-28 Western Atlas International, Inc. Method and apparatus for generating correction signals for forming low distortion analog signals
EP0539116A3 (en) * 1991-10-25 1995-04-05 Halliburton Geophys Service
US10790848B2 (en) 2018-06-04 2020-09-29 Nxp Usa, Inc. Segmented resistive digital to analog converter
US10784886B1 (en) 2019-09-27 2020-09-22 Nxp Usa, Inc. Segmented digital to analog converter

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