US2915599A - Logarithmic amplifier - Google Patents

Logarithmic amplifier Download PDF

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US2915599A
US2915599A US292067A US29206752A US2915599A US 2915599 A US2915599 A US 2915599A US 292067 A US292067 A US 292067A US 29206752 A US29206752 A US 29206752A US 2915599 A US2915599 A US 2915599A
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cathode
circuit
wave
amplitude
resistor
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Robert E Ricketts
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General Electric Co
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General Electric Co
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03GCONTROL OF AMPLIFICATION
    • H03G3/00Gain control in amplifiers or frequency changers without distortion of the input signal
    • H03G3/20Automatic control
    • H03G3/22Automatic control in amplifiers having discharge tubes
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/52Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S15/00
    • G01S7/523Details of pulse systems
    • G01S7/526Receivers
    • G01S7/529Gain of receiver varied automatically during pulse-recurrence period
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06GANALOGUE COMPUTERS
    • G06G7/00Devices in which the computing operation is performed by varying electric or magnetic quantities
    • G06G7/12Arrangements for performing computing operations, e.g. operational amplifiers
    • G06G7/24Arrangements for performing computing operations, e.g. operational amplifiers for evaluating logarithmic or exponential functions, e.g. hyperbolic functions

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  • invention 'relates toU Wave-translating' apparatus 15 and, more particularly, pertainsv to" an' improved loga'i rithmic arnlier', ize., an' amplier exhibiting an input amplitude versus output amplitude" characteristic which is of" logarithmic form.
  • Another object of my invention is to provide an im
  • Fig. 2 is a detailed schematic diagram of a-loga'rithmic ⁇ amplifier constructed in accordance withmy invention 55 and which may be, employed-vin the apparatus shown in4 Fig. I; u
  • Figs. 3A and 4 are graphs illustrating the operating characteristics of portions ofthe circuit shown in Fig. 2;
  • Fig. -5 illustrates a complete antenna-space-pattern 60 plotter and represents anotherl application in which a logarithmic amplifier' may be' employed;
  • Fig. 6 is a detailed schematic' diagram of a logarithmic amplitier which may be incorporated in thearrangement otFig. 4' and* which represents a modification ofmy 65 invention.
  • thel sonal-"apparatus there showny includes? a; transmitter 10 which', under they control of a lceyer- 113 generates pulses of supersonic energy.
  • the pulses of supersonic energy are supplied to ai directional transducer 13 and pulses of a compressional wave are radiated into ⁇ the water medium in which transducer 13 is immersed.
  • Such compressional energy travels through the Water and may impinge upon a reilecting surface of a remote object and, after reilection, returning pulses are intercepted by transducer 13.
  • ⁇ Received pulses are supplied throughthe normally closed pair of contacts of relay 12' to' a receiver 14.
  • the velocity of propagation of sound energy in water is substantially constant, and hence, the range of' a' reflecting object may be determined by measuring the total travel time of returningecho pulses.
  • This measurementV is performed through the use of an acurate time base' sweepprovided by' a sweep generator 22 which may include any Vwell- 4known form ⁇ ofcirc'uitv for' deriving a highly linear saw ⁇ - toothwave that is synchronized with the operation of keyer 11.
  • the savvtooth Wave is' applied to the coils of 'a deection Vyoke 23 that is supportedrfor rotation about the neck ofy cathode ray tube 2e.
  • the electronl beam projected toward the viewing sc'reenof tube 2li2 is: deflectedradially from the screen center in a direction-- dependent upon the orientation of yoke 23 and at a rate proportional to twice' the velocity.v of propaga-tion ofthe energy radiated from transducer
  • transducer 13' is supported for rotation abouti a vertical axis andis mechanically coupled to de# ilection' yokelthrough suitable gearing, illustrated by a vdash line' 24.
  • any' well-known formr of meehano-electri'c device ymayl berv interposed' between ⁇ transducer 13k andi the deflection yoke in installations wherein the'tr'ansducerandthe-yoke are located too far apart to permit the use of a direct mechanical'connec; tion;1
  • yol e ⁇ 23 is rotatably synchronized with transducer 13 andV rotates once foreach revolution of the transducer.
  • a hand wheel 25- isiA mechanically coupled to transeA yducer 13 through suitable gearing illustnated by an eX-A tension 26 of dashl line 24.
  • the azimuthalposi-V tion of transducer I3' is' under the control of hand'wheelKA 25I and ⁇ it is orientedl by anv operatorl so that the axis'A of maximumA directivity interceptsl a' remote Object.
  • indications on the screen are produced which represent one or more remote objects.
  • the distance from the center of the viewing screen to the indication is proportional to the range of the corresponding object and the bearing or azimuthallposition of the object is defined by the angle subtended by a line intercepting the screen center passing through the indication and a vertical reference line through the screen center.
  • the vessel carrying the sonar apparatus is represented at the center of the ⁇ viewing screen of tube 20, it is possible to produce an indication which moves in accordance ⁇ with movements of the vessel.
  • the system disclosed in the application of K, H. Kingdon et al., Serial No. 494,564, filed July 13, 1943, now abandoned, and assigned to the present assignee may be employed for this purpose.
  • Logarithmic amplifier 21 serves this purpose by providing a large amplification factor for weak signals, however, as signal amplitude increases, a compression is effected and the amplifier operates with reduced amplication. In that way, pulses representingy both nearby as well as extremely remote objects may be properly displayed on the viewing screen of cathode ray indicator 20.
  • FIG. 2 of the drawing there is illustrated a detailed schematic diagram of a wave-translating system constructed in accordance ⁇ with my invention and which may be employed as logarithmic amplifier 21 ⁇ of Fig. 1.
  • the output wave of detector 18 is applied to the primary winding of an input transformer 50, the secondary winding of which is shunted by the resistance element of a potentiometer '1.
  • the movable arm of potentiometer 51 is connected to the control electrode of an electron discharge device 52 having its anode directly connected
  • the system further includes another electron discharge 4 4 device 55 having its control electrode directly connected to ground, its cathode directly connected to the cathode of device 52, and its anode connected to the positive terminal source 53 through an anode load impedance 56.
  • cathode load impedance 54 is common to both devices 52 and 55, these devices are electrically coupled to one another and the cathode load impedance may be considered as being included in a coupling network by means of which the wave derived due to cathode follower action of device ⁇ 52 is applied to the control electrodecathode circuit of device 55, which operates as a groundedgrid cathode-driven amplifier. There is thus derived at anode load impedance 56 an output wave corresponding to the input wave.
  • the system also includes a circuit element, having a non-linear applied potential versus resulting current characteristic, included in the coupling network comprising r impedance 54.
  • This circuit element preferably comprises a pair of unidirectionally conductive, germanium ⁇ diode rectifiers 57 and 58.
  • the cathode of diode 57 is directly connected to the anode of diode 58 and these electrodes are connected through the series combination of a resistor 59 and a coupling condenser 60 to the common connection between the cathodes of devices 52 and 55.
  • the anode of device 57 is connected to the cathode of device 58 through a resistor 61 and the junction of diode 58 with resistor 61 is connected through another resistor 62 to the movable arm of a potentiometer 63, the resistance element of which is connected to a source of potential 64 having its positive terminal grounded. There is thus providel a source of bias potential which is connected in shunt with resistor 61.
  • Fig. 3 is a plot of voltage versus resulting current for the germanium diodes 57 and 58.
  • Curve A illustrates the typical operating characteristic of diode 58 in the absence of a bias potential, i.e., a ⁇ condition wherein the movable tap of potentiometer 63 is positioned at the grounded end of the resistance element. Since diode 57 is poled oppositely to diode 58, its characteristic curve B is shown in the opposite polarity sense in Fig. 3.
  • the diode rectifiers may operate in a suitable manner with zero bias, it has been found that a diode bias of approximately 0.15 volt in the positive or forward direction is preferable. Therefore, the movable tap of potentiometer 63 is adjusted to provide a current L through resistor 61 which results in this bias and the actual operating conditions for the diodes 57 and 58 are represented by the dash curves D and C, respectively.
  • the amplitude of the undulating wave that is developed in the cathode circuit of device 52 varies as a logarithmicfunction of variations in the amplitude of the input wave that is applied to this device.
  • the diodes may thus be considered to operate as a variable attenuator for compressing the undulating potential whieh is developed in the common cathode circuit.
  • This undulating potential produces corresponding vari- ;ations in the control electrode-cathode circuit of device :55 and the ⁇ undulating potential which is derived atan- ⁇ ode resistor 56 of cathode-driven amplifier 55 is similarly a-plot of input-voltage amplitude of a sine wave of vari able amplitude applied to transformer 50 versus output voltage amplitude derived at anode resistor 56, input voltage being' taken to a logarithmic scale. It will be observed that this characteristic is essentially logarithmic over an amplitude range in the applied wave from 1 to 10 volts.
  • an additional translating stage is coupled to anode load impedance 56.
  • This stage comprises an am plier which includes a pentode-type electron discharge device 65 having its control grid circuit coupled by a condenser 47 to anode resistor 56 and its anode circuit coupled by a condenser 48 to the grid circuit of an electron discharge device 66 connected in a cathode follower circuit.
  • a pair of oppositely-poled germanium diodes 67vv and 68 are connected to the control grid of device 65 through a resistor'69 and are connected to potentiometer 63 in the same manner as are diodes 57 and 58.
  • a circuit element having a nonlinear applied potential versus resulting current characteristic in the grid circuit of pentode amplier 65.
  • cathode follower 66 is connected to the positive terminal of source 53 and its cathode is connected to the negative terminal of source 64 through a cathode load resistor 70.
  • the cathode of device 66 is coupled through a condenser 49 to a resistor 71, in turn, connected to another pair of germanium diodes 72 and 73.
  • the circuit for these diodes is identical to the one provided for diodes 57 and 58.
  • the non-linear circuit elements in the grid circuit of amplifier 65 (diodes 67 and 68) and in the cathode circuit of cathode follower 66 (diodes 72 and 73) present respective circuit impedances which decrease with increasing wave amplitude. These circuit elements operate in the same manner as the one containing diodes 57 and 58 to provide additional compression for the wave translating system.
  • the screen potential of pentode amplifier 65 is established at a relatively low value so that for small signals the transconductance of device 65 is low while for signals of greater amplitude this parameter inl creases rapidly. This aids in producing a more nearly logarithmic characteristic by compensating for irregularities in the characteristic which may be caused by the diodes.
  • the resistance values of resistors 59, 69 and 71, which are connected to the several, respective diode circuits, are selected to provide a predetermined slope in the logarithmic characteristic of the translating system shown in Fig.,2.
  • a further adjustment of the logarithmic characteristic may be made by regulating the bias for the several diodes by means of potentiometer 63 and thus the logarithmic function and the degree of compression may be controlled.
  • Electron discharge devices 52 and 57 Dual triode type 12AT7 Electron discharge devices 65
  • Resistor 54 220 ohms
  • Resistor 56 56,000 ohms
  • Resistor 59 500 ohms
  • Resistor 69 10,000 ohms
  • Resistor 70 51,000 ohms
  • Compression circuits heretofore employed usuallyjdei pend upon' many stages of compression so that a small percentage of compressionper stage may beutilized.
  • groundedgrid amplifier 55 Because of the great deg-ree of compression, groundedgrid amplifier 55 always receives a relatively small signal amplitude, regardless of the amplitudeof the input wave applied over transformer 50, and little or no-distortion ⁇ ccurs in the grounded-grid amplifier;
  • a wave-translating system in accordance with my invention requires a fewer number of fstages than heretofore required for a corresponding degree of compression.
  • the system therefore, is more simple and less expensive to construct and yet' it operates efficiently to compress applied waves having amplitudes which may vary over a wide range without introducing serious amounts of distortion.
  • biasp'otential is applied to the diodes, they tend to change in forward resistance with variations in temperature. Moreover, the bias prevents electrolysis or chemical action due to high temperatures which is particularly noticeable in diodes not hermetically sealed. Therefore, the bias arrangement is an importantv factor in maintaining stable operation of theV circuit shown in Fig. 2.
  • resistors which connect each of the several pairs ofdiodes together may be definedras balancing resistors. This is understandable if it is considered that the potential dropv developed across resistor 61 produces the same, quiescent current through diodes 57 and 5S. This causes each pair of diodes to exhibit similar applied voltage versus resulting current character# istics and, hence, not only is stable operation ⁇ promoted, but that distortion which may' result from'non-similar characteristics is minimized.
  • the antenna pattern plotting system shown in Fig. 5 represents another application in which a logarithmic amplifier may beremployed.
  • a transmitter supplies radio-frequency energy to an antenna 101, for example', of the horn type, that is mounted for rotation about a vertical axis on arotatably supported carriage 102.
  • a driving motor 103 is mechanically coupled to carriage 102 by a linlrage 104 and continuously rotates the c arf riage and antenna 101.
  • the radio-frequency wave radiated by antenna 101 is intercepted by a parabolic reflector 105 andy directed to the focal point thereof at which a horn-type antenna 106 is disposed.
  • Antenna 106 is connected to a section of a wave guide 107 in which a bolometer (not shown) is positioned.
  • Variations in the intensity of the intercepted radio wave whichdefine the space pattern of antenna 101 as it is rotated, produce changes in resistance in the bolometer.
  • the bolometer is connected inthe input circuit of a logarithmic amplifier 103, as will bel apparent from the following discussion, the bolometer effectively demodulates the intercepted wave threeby to apply an undulation potential to the input of the amplifier.y
  • a recorder' 109 which. may, for example, be of the type including a mov'- able penv that is positioned in accordance with the ampl tude of the wave supplied by amplifier 108.
  • a mechanical linkage 110 synchronizes movement of the recording ⁇
  • bolometer 150 is connected in a series circuit including the primary of an input transformer 151 and a source of potential 152.
  • the changes in resistance of bolometer 150 caused by variations in amplitude of the received Wave energy cause corresponding variations in the flow of current through the primary winding kof the transformer 151 and, yas a result, there is developed in the secondary winding of the transformer a corresponding potential which is applied via a potentiometer 153 to the controly electrode of an electron discharge device 154.
  • the anode ⁇ of ⁇ device 154 is directly to thek positive terminal of a source of anode supply p ⁇ otential ⁇ 155, the
  • cathode is kgrounded through a cathode load resistor 156 and is connected through the series combination of a couplingcondenser 157 and a resistor 158 to a pair of germanium diodes ⁇ 159 and 160 which are connected in backto-back relation.
  • a ground connectionto the diodes completes the cathode circuit for device 154.
  • Cathode resistor 156k is also in the cathode circuit of an electron discharge device 161 havingits control electrodc grounded and its anode connected to the positive terminal source 155 through ank anode resistor 162. yThere is thus provided a cathode follower 154 connected in cascade relation with a cathode-driven amplier 161A and including the diodes 159 and 160 in a common cathode coupling circuit. With the exception of the biasing arrangement illustrated in Fig.
  • this portion of the circuit is essentially identical to that described hereinbefore and the amplitude of the undulating potential which is derived at anode resistor 162 is logarithmically related to the amplitude of the input potential supplied to the control electrode of device 154. This provides the same type of compression which is described in connection with the circuit shown in Fig. 2.
  • Anode resistor 162 is coupled by a condenser 149 to the control grid of a pentode-type electron discharge device 163 having oppositely-poled germanium diodes 164 and 165 ⁇ and a resistor 166 connected in shunt with its grid circuit.
  • the output of pentode ampliier 163 is supplied over a condenser 167 to the control grid of an electron discharge device 168.
  • Device 16S has its anode connected to the positive terminal source 155 and its cathode grounded through a resistor network 169.
  • the grid of device 168 is connected through a grid resistor .170 to a tap of network 169 and the grid further is connected to ground through a resistor 171 and a pair of oppositely-poled germanium diodes 172 and 173.
  • the device 163 may be considered as being included within an additional translating stage which exhibits a non-linear input wave amplitude versus output Wave amplitude characteristic.
  • This stage also includes a pentode-type electron discharge device 174 having the output of cathode follower 168 supplied to its grid circuit via a band-elimination lter 175.
  • This lter serves to attenuate frequency components within a small band which includes that frequency due to rotation of antenna 101 of Fig. 5.
  • the output of pentode amplifier 175 is supplied over a condenser 176v to the control grid of an electron discharge device 177 which is connected in a cathode followerhcir cuit similar to the one iny which device 168 is included and having oppositely-poled 1 germanium diodes 178 and 179 connected in shunt with ⁇ its grid circuit.
  • cathode follower 177 is supplied to the input of another band' elimination lilter 178 having ay characteristic similar to filter 175.
  • the output of iilter 178 is shunted by a circuit including another pair. ⁇ of oppositely-poled germanium diodes 180 and 181. i 1
  • the portion ofthe translating system shown in Fig. 6 including devices 154 and y161 exhibits a characteristic which is approximately logarithmic in form.
  • the additional translatingstage including devices 163, 168,
  • the system also includes an automatic gain control circuit which is associated with the kadditional stage for modifying they over-all characteristic of the system.
  • This circuit 4 includes a diode Yrectifier 182 having its cathode connected to filter 179 at thepoint atk which ak resistor 183, extending from diodes 180 and 181, isk connected.
  • the anode of diode 182 is Connected to a filter network 134 which, in turn, isconnected to a potentiometer 185.
  • This control potential is applied over the movable tap of potentiometer 185, a resistor 186, which is included together with a shunt condenser 187 in a decoupling network, and over a resistance network 188 to the control grid yof pentode 174.
  • the control ⁇ potential is also applied over resistor 186, a resistor ⁇ 189, which is included together with a condenser 190 in another decoupling network, and via a grid resistor 191 to the control elec-V trode of pentode 163.
  • the system thus includes means for applying the control potential to each of the pentode amplifiers 163 and 174. Since this potential increases in a negative sense as the wave amplitude increases, automatic gain control action is effected in a known manner.
  • the amount of gain control action may be regulated. in that Way the slope of the logarithmic, input versus outputcharacteristic may be varied to some extent.
  • the output wave of cathode follower 177 of Fig. 6 is demodulated by a rectier 182, and the undulating components, other than those due to the antenna pattern are attenuated by lter 184.
  • a system for logarithmically amplifying a range of ylarge and small amplitude signals comprising a cathode follower, a cathode driven amplifier, a common cathode circuit electrically coupling said cathode follower to said cathode driven amplifier, means for applying said large and small amplitude signals to said cathode follower, a first circuit having an impedance which varies inversely with applied signal amplitude connected across said common cathode circuit for logarithmically compressing said large amplitude signals substantially without compressing said small amplitude signals, a second circuit similar to said first circuit for logarithmically compressing said uncompressed small amplitude signals and said logarithmically compressed large amplitude signals after amplification by said cathode driven amplifier, an additional signal amplifying stage having a nonlinear input signal amplitude versus output signal amplitude characteristic which complements said previously mentioned signal compression and amplification to provide a substantially logarithmic amplification characteristic for said system.
  • a cathode follower circuit a cathode ⁇ driven grounded grid amplifier circuit, a common cathode resistance electrically coupling said cathode follower circuit to said cathode driven amplifier circuit, means for applying large and small amplitude signals to said cathode follower circuit, a first compression circuit comprising a pair of oppositely poled diodes coupled across said common cathode resistance for logarithmically compressing said large amplitude applied signals substantially without compressing said small amplitude signals, said cathode driven amplier circuit responsive to said compressed large amplitude signals and said uncompressed small amplitude signals for providing amplified output signals, a pentode type amplifier, a second compression circuit comprising a pair of oppositely poled diodes responsive to said amplified output signals for providing logarithmically compressed output signals, means responsive to said logarithmically compressed amplified output signals for providing logarithmically amplilied versions of said first mentioned small and large Vdirectionally conductive devices, second means

Description

Dec.' l, 1959 R. E. RICKETTS LOGARITHMIC AMPLIFIER 2 Sheets-Sheet 1 Filed June 6. 1952 His Atftl ohney.
Dec. 1, 1959 R. E. mcKE'r-rs 2,915,599
LOGARITHMIC AMPLIFIER Filed June 6. 1952 2 Sheets-Sheet 2 F121 '3 1:5 |.5 57 l|8 z'l Mlxen m1'. Fam. Loemn'nmc AMPLIFIER osclLLAroR AMPLHHER' TEU-OR AMPLIFIER w P L-TRANSMITTER* KEYER @Eil-:giron Inventor: 'Rober-t. BRicketts,
" His Attorney.
"inv
United St 2,915,599 LOGARITHMIC AMPLIFIER Robert' E'. Ricketts, Auburn', N.Y., assignor to General Electric Company, a corporation of New 'iiorltV Application June 6, 1952Serial- No.` 292,067
s claims. (ci. 179-171) invention 'relates toU Wave-translating' apparatus 15 and, more particularly, pertainsv to" an' improved loga'i rithmic arnlier', ize., an' amplier exhibiting an input amplitude versus output amplitude" characteristic which is of" logarithmic form.
It is' an object of rny invention to providesan' improved 20 logarithmic amplifier which is simple andI inexpensive to construct, and yet is entirely stable and efficient in operation.
Another object of my invention is to provide an im;
proved logarithmic amplier which aiords amplitude 25 means for deriving' an output wave' front the vcathodeJ 35 driven amp-liner that; correspends'tn the input wave'. A circuit element having a` nonlinear'I or logarithmic inputl voltage' versus'l resulting current characteristic' is coupled to the commonf cathode impedance' and` thus' the` output wave varies as a. non-linear or logarithmic function of 40 variations inl theinput wave.Y i *l The novel features. which I. believe to be characteristic of myl invention arefs'e't forthv withl particular-ity in the appended claims The invention itself, however, both taszto itsorganization? andvmetho'd' of operation togetherV 45 withrturther objectsrand advantages, thereof,- may best bef understood by referencetov the following; description taken in connection withl the' accompanying drawing inwhich:
Fig.,1-represents-, in.y block diagram'forin', a `complete 50 underwater sound echo-'rangingapparatus, commonly referred. toas sonar equipment andA which includes a f logarithmicl amplier that may embody myl invention;
Fig. 2 is a detailed schematic diagram of a-loga'rithmic `amplifier constructed in accordance withmy invention 55 and which may be, employed-vin the apparatus shown in4 Fig. I; u
Figs. 3A and 4 are graphs illustrating the operating characteristics of portions ofthe circuit shown in Fig. 2;
Fig. -5 illustrates a complete antenna-space-pattern 60 plotter and represents anotherl application in which a logarithmic amplifier' may be' employed; and
Fig. 6 is a detailed schematic' diagram of a logarithmic amplitier which may be incorporated in thearrangement otFig. 4' and* which represents a modification ofmy 65 invention.
v Referring.nowy to Eig. lof? the'y drawing, thel sonal-"apparatus there showny includes? a; transmitter 10 which', under they control of a lceyer- 113 generates pulses of supersonic energy.- lKeyer 1.1 controls' the. energization 70 of the actuating coil of a mechano-electric relay 112-there` by'to closezthenormallyopen contacts-of asetof= singleatent i The cathode: followerv` and the cath- 3o 2, pole double-throw relay contacts for the duration of each generated pulse. Thus, the pulses of supersonic energy are supplied to ai directional transducer 13 and pulses of a compressional wave are radiated into` the water medium in which transducer 13 is immersed. Such compressional energy travels through the Water and may impinge upon a reilecting surface of a remote object and, after reilection, returning pulses are intercepted by transducer 13.
`Received pulses are supplied throughthe normally closed pair of contacts of relay 12' to' a receiver 14.
wherein after amplification inv an'. amplifier 15, the pulses of supersonic 'energy are converted'to an intermediate frequency by a mixe'rloscil'lato'r stage 16. The intermedi'atetreq'uency pulses are' arnplied' in an' amplitier 17 and a detector 18 produces a demodulated' pulse' typev output wave which is supplied to control electrode 19 of a cathode' ray indicator 20 through a logarithmic amplifier 21, thev purpose 'and' details of' which willbel described hereinafter. v
As is generally well-known, the velocity of propagation of sound energy in water is substantially constant, and hence, the range of' a' reflecting object may be determined by measuring the total travel time of returningecho pulses. This measurementV is performed through the use of an acurate time base' sweepprovided by' a sweep generator 22 which may include any Vwell- 4known form` ofcirc'uitv for' deriving a highly linear saw`- toothwave that is synchronized with the operation of keyer 11. The savvtooth Wave is' applied to the coils of 'a deection Vyoke 23 that is supportedrfor rotation about the neck ofy cathode ray tube 2e. Thus, with the oc'- currence-of each pulse ofsupersonic energy'in transmitter 1t), the electronl beam projected toward the viewing sc'reenof tube 2li2 is: deflectedradially from the screen center in a direction-- dependent upon the orientation of yoke 23 and at a rate proportional to twice' the velocity.v of propaga-tion ofthe energy radiated from transducer In order to derive targetl bearing as well as range information, transducer 13' is supported for rotation abouti a vertical axis andis mechanically coupled to de# ilection' yokelthrough suitable gearing, illustrated by a vdash line' 24. Ofcourse, any' well-known formr of meehano-electri'c deviceymayl berv interposed' between` transducer 13k andi the deflection yoke in installations wherein the'tr'ansducerandthe-yoke are located too far apart to permit the use of a direct mechanical'connec; tion;1 Inl any event, yol e`23 is rotatably synchronized with transducer 13 andV rotates once foreach revolution of the transducer.
A hand wheel 25- isiA mechanically coupled to transeA yducer 13 through suitable gearing illustnated by an eX-A tension 26 of dashl line 24. Thus, the azimuthalposi-V tion of transducer I3' is' under the control of hand'wheelKA 25I and` it is orientedl by anv operatorl so that the axis'A of maximumA directivity interceptsl a' remote Object. This is accomplished in accordance with well-known' sonar techniques, a pair of head phones usually being coupled to detector 18"so that the operator may have bothy an aural as well as a visual presentation of re-` The output wave from logarithmic ampliiier 21 of receiver 14 is applied to control electrode 19 with such polarity that received pulses increasethe intensity of the electron beam projectedl toward the viewingscreen'` off cathode ray tube 20. At the same time, thesweep wave;
from generator 22 detlects the electron beam from the H 3 center of viewing screen 25 in'a radial direction corresponding to the orientation of transducer 13.` Thus, indications on the screen are produced which represent one or more remote objects. The distance from the center of the viewing screen to the indication is proportional to the range of the corresponding object and the bearing or azimuthallposition of the object is defined by the angle subtended by a line intercepting the screen center passing through the indication and a vertical reference line through the screen center.
Although in the described arrangement, the vessel carrying the sonar apparatus is represented at the center of the `viewing screen of tube 20, it is possible to produce an indication which moves in accordance `with movements of the vessel. For example, the system disclosed in the application of K, H. Kingdon et al., Serial No. 494,564, filed July 13, 1943, now abandoned, and assigned to the present assignee may be employed for this purpose.
As is generally well-known, compressional wave energy is highly attenuated by the water medium through which it is propagated. At the usual supersonic frequencies employed in the sonar equipment illustrated in Fig. 1, this attenuation amounts to four decibels per thousand yards or, more generally stated, amplitude varies as the inverse square of distance. Consequently, the pulse wave amplitude supplied by detector 18 varies widely for remote objects at different distances Within the operating range of the equipment.
If such widely varying pulse amplitudes are applied through a linear amplifier to control electrode 19 of cathode ray tube 20, remote objects at bothshort and extreme ranges could not be accurately displayed. For example, if the gain of receiver 14 is made high enough to permit the translation of pulses of small amplitude from objects at extreme ranges, then pulses from nearby objects would be of so great an amplitude as to cause abnormal operation of cathode ray tube 20 and the indications produced thereby would occupy too large an area of the viewing screen to permit accurate range and bearing measurements. On the other hand, if the amplification of receiver 14 is reduced to accommodate reflected energy from nearby objects, then refiected energy from objects at extreme ranges would not have sufficient amplitude to produce an indication on the viewing screen.
Thus, it is apparent that a translating stage having a non-linear input amplitude versus output amplitude characteristic, such as of logarithmic form, could obviate this difiiculty. Logarithmic amplifier 21 serves this purpose by providing a large amplification factor for weak signals, however, as signal amplitude increases, a compression is effected and the amplifier operates with reduced amplication. In that way, pulses representingy both nearby as well as extremely remote objects may be properly displayed on the viewing screen of cathode ray indicator 20.
Referring now to Fig. 2 of the drawing, there is illustrated a detailed schematic diagram of a wave-translating system constructed in accordance `with my invention and which may be employed as logarithmic amplifier 21 `of Fig. 1.
- The output wave of detector 18 is applied to the primary winding of an input transformer 50, the secondary winding of which is shunted by the resistance element of a potentiometer '1. The movable arm of potentiometer 51 is connected to the control electrode of an electron discharge device 52 having its anode directly connected The system further includes another electron discharge 4 4 device 55 having its control electrode directly connected to ground, its cathode directly connected to the cathode of device 52, and its anode connected to the positive terminal source 53 through an anode load impedance 56. Since cathode load impedance 54 is common to both devices 52 and 55, these devices are electrically coupled to one another and the cathode load impedance may be considered as being included in a coupling network by means of which the wave derived due to cathode follower action of device `52 is applied to the control electrodecathode circuit of device 55, which operates as a groundedgrid cathode-driven amplifier. There is thus derived at anode load impedance 56 an output wave corresponding to the input wave.
The system also includes a circuit element, having a non-linear applied potential versus resulting current characteristic, included in the coupling network comprising r impedance 54. This circuit element preferably comprises a pair of unidirectionally conductive, germanium `diode rectifiers 57 and 58. The cathode of diode 57 is directly connected to the anode of diode 58 and these electrodes are connected through the series combination of a resistor 59 and a coupling condenser 60 to the common connection between the cathodes of devices 52 and 55. The anode of device 57 is connected to the cathode of device 58 through a resistor 61 and the junction of diode 58 with resistor 61 is connected through another resistor 62 to the movable arm of a potentiometer 63, the resistance element of which is connected to a source of potential 64 having its positive terminal grounded. There is thus providel a source of bias potential which is connected in shunt with resistor 61.
The operation of the portion of the circuit described above may be more easily understood by referring to Fig. 3 which is a plot of voltage versus resulting current for the germanium diodes 57 and 58. Curve A illustrates the typical operating characteristic of diode 58 in the absence of a bias potential, i.e., a` condition wherein the movable tap of potentiometer 63 is positioned at the grounded end of the resistance element. Since diode 57 is poled oppositely to diode 58, its characteristic curve B is shown in the opposite polarity sense in Fig. 3. v Although the diode rectifiers may operate in a suitable manner with zero bias, it has been found that a diode bias of approximately 0.15 volt in the positive or forward direction is preferable. Therefore, the movable tap of potentiometer 63 is adjusted to provide a current L through resistor 61 which results in this bias and the actual operating conditions for the diodes 57 and 58 are represented by the dash curves D and C, respectively.
j From an inspection of curve C-D, it will be observed that for undulating potentials at cathode resistor 54 of extremely small amplitude there is essentially no diode current ow. However, as the amplitudeincreases diode 58 conducts current during positive half cycles and diode 57 conducts current during negative half cycles. The amount of conduction in the diodes increases non-linearly with increasing input amplitudes. In other words, the impedance presented by the diodes in the cathode circuit of electron discharge device 52 decreases as the wave amplitude increases. Since the diode characteristics are of logarithmic form, the amplitude of the undulating wave that is developed in the cathode circuit of device 52 varies as a logarithmicfunction of variations in the amplitude of the input wave that is applied to this device.
The diodesmay thus be considered to operate as a variable attenuator for compressing the undulating potential whieh is developed in the common cathode circuit. This undulating potential produces corresponding vari- ;ations in the control electrode-cathode circuit of device :55 and the` undulating potential which is derived atan- `ode resistor 56 of cathode-driven amplifier 55 is similarly a-plot of input-voltage amplitude of a sine wave of vari able amplitude applied to transformer 50 versus output voltage amplitude derived at anode resistor 56, input voltage being' taken to a logarithmic scale. It will be observed that this characteristic is essentially logarithmic over an amplitude range in the applied wave from 1 to 10 volts.
Inorder more closely to approximate the desired logarithmic characteristic in the wave translating system shown in Fig. 2, an additional translating stage is coupled to anode load impedance 56. This stage comprises an am plier which includes a pentode-type electron discharge device 65 having its control grid circuit coupled by a condenser 47 to anode resistor 56 and its anode circuit coupled by a condenser 48 to the grid circuit of an electron discharge device 66 connected in a cathode follower circuit. A pair of oppositely-poled germanium diodes 67vv and 68 are connected to the control grid of device 65 through a resistor'69 and are connected to potentiometer 63 in the same manner as are diodes 57 and 58. There is thus included a circuit element having a nonlinear applied potential versus resulting current characteristic in the grid circuit of pentode amplier 65.
The anode of cathode follower 66, of course, is connected to the positive terminal of source 53 and its cathode is connected to the negative terminal of source 64 through a cathode load resistor 70. The cathode of device 66 is coupled through a condenser 49 to a resistor 71, in turn, connected to another pair of germanium diodes 72 and 73. The circuit for these diodes is identical to the one provided for diodes 57 and 58.
The non-linear circuit elements in the grid circuit of amplifier 65 (diodes 67 and 68) and in the cathode circuit of cathode follower 66 (diodes 72 and 73) present respective circuit impedances which decrease with increasing wave amplitude. These circuit elements operate in the same manner as the one containing diodes 57 and 58 to provide additional compression for the wave translating system. Moreover, the screen potential of pentode amplifier 65 is established at a relatively low value so that for small signals the transconductance of device 65 is low while for signals of greater amplitude this parameter inl creases rapidly. This aids in producing a more nearly logarithmic characteristic by compensating for irregularities in the characteristic which may be caused by the diodes.
The resistance values of resistors 59, 69 and 71, which are connected to the several, respective diode circuits, are selected to provide a predetermined slope in the logarithmic characteristic of the translating system shown in Fig.,2. A further adjustment of the logarithmic characteristic may be made by regulating the bias for the several diodes by means of potentiometer 63 and thus the logarithmic function and the degree of compression may be controlled.
In a particular embodiment of the above-described circuit which has been found to operate satisfactorily in practice, the following circuit constants were used:
Electron discharge devices 52 and 57 Dual triode type 12AT7 Electron discharge devices 65 Type 6BA6 Electron discharge devices 66 Type 6C4 Germanium diodes 57, 58, 67, 68, 72 and 73 IN69 Resistor 54 220 ohms Resistor 56 56,000 ohms Resistor 59 500 ohms Resistors 81, 62 51 ohms Resistor 69 10,000 ohms Resistor 70 51,000 ohms Resistor 71 y 6,800 ohms Condensers 48, 49, 50 0.1 microfarad Condenser 60 25 microfarads Supply 53 +220 volts ,supply 63 -180 volts Compression circuits heretofore: employed usuallyjdei pend upon' many stages of compression so that a small percentage of compressionper stage may beutilized. in order to avoid distortion. In the circuit of Fig. 2-,V anv ex'- tremely large degree of compression is achieved in the cathode circuit of cathode follower 52 because this stage provides a low-impedance driving source. This' causes the diodes to operate very efficiently in compressing waves of large amplitude. As` a result, although a greater ratio of attenuation is effected in one stage than heretofore possible, the envelope or general wave configuration of a wave of highA amplitude is essentially preserved: Because of the great deg-ree of compression, groundedgrid amplifier 55 always receives a relatively small signal amplitude, regardless of the amplitudeof the input wave applied over transformer 50, and little or no-distortion` ccurs in the grounded-grid amplifier;
Stated another way,- the extremely lw impedance achieved in the cathode circuit that is'common to devices 52, and 55 `causes the diodes to' operatein' an extremely logarithmic fashion since the degree of attenuation closely follows the configuration of the curves shownin Fig. 3. lf, as in prior 'art arrangements, a high impedanceV circuit is employed, the diodes cannot operate in this manner.
It is thus apparent that a wave-translating system in accordance with my invention requires a fewer number of fstages than heretofore required for a corresponding degree of compression. The system, therefore, is more simple and less expensive to construct and yet' it operates efficiently to compress applied waves having amplitudes which may vary over a wide range without introducing serious amounts of distortion.
It has been found that unless a biasp'otential is" applied to the diodes, they tend to change in forward resistance with variations in temperature. Moreover, the bias prevents electrolysis or chemical action due to high temperatures which is particularly noticeable in diodes not hermetically sealed. Therefore, the bias arrangement is an importantv factor in maintaining stable operation of theV circuit shown in Fig. 2.
The resistors which connect each of the several pairs ofdiodes together, such as resistor 61, may be definedras balancing resistors. This is understandable if it is considered that the potential dropv developed across resistor 61 produces the same, quiescent current through diodes 57 and 5S. This causes each pair of diodes to exhibit similar applied voltage versus resulting current character# istics and, hence, not only is stable operation` promoted, but that distortion which may' result from'non-similar characteristics is minimized.
The antenna pattern plotting system shown in Fig. 5 represents another application in which a logarithmic amplifier may beremployed. A transmitter supplies radio-frequency energy to an antenna 101, for example', of the horn type, that is mounted for rotation about a vertical axis on arotatably supported carriage 102. A driving motor 103 is mechanically coupled to carriage 102 by a linlrage 104 and continuously rotates the c arf riage and antenna 101. l
The radio-frequency wave radiated by antenna 101 is intercepted by a parabolic reflector 105 andy directed to the focal point thereof at which a horn-type antenna 106 is disposed. Antenna 106 is connected to a section of a wave guide 107 in which a bolometer (not shown) is positioned. Variations in the intensity of the intercepted radio wave, whichdefine the space pattern of antenna 101 as it is rotated, produce changes in resistance in the bolometer. The bolometer is connected inthe input circuit of a logarithmic amplifier 103, as will bel apparent from the following discussion, the bolometer effectively demodulates the intercepted wave threeby to apply an undulation potential to the input of the amplifier.y
The output of amplifier 10Svsupplied to a recorder' 109 which. may, for example, be of the type including a mov'- able penv that is positioned in accordance with the ampl tude of the wave supplied by amplifier 108. A mechanical linkage 110 synchronizes movement of the recording` Referring now to Fig. 6, which illustratesin detailed schematic form, wave-translating apparatus which may be employedinlogarithmic amplifier `108 of Fig. 5, a
' bolometer 150,y shown as a resistance, is connected in a series circuit including the primary of an input transformer 151 and a source of potential 152. The changes in resistance of bolometer 150 caused by variations in amplitude of the received Wave energy cause corresponding variations in the flow of current through the primary winding kof the transformer 151 and, yas a result, there is developed in the secondary winding of the transformer a corresponding potential which is applied via a potentiometer 153 to the controly electrode of an electron discharge device 154. y
` The anode` of `device 154 is directly to thek positive terminal of a source of anode supply p`otential`155, the
negative terminal of which is grounded. Its cathode is kgrounded through a cathode load resistor 156 and is connected through the series combination of a couplingcondenser 157 and a resistor 158 to a pair of germanium diodes`159 and 160 which are connected in backto-back relation. A ground connectionto the diodes completes the cathode circuit for device 154. f f
' Cathode resistor 156k is also in the cathode circuit of an electron discharge device 161 havingits control electrodc grounded and its anode connected to the positive terminal source 155 through ank anode resistor 162. yThere is thus provided a cathode follower 154 connected in cascade relation with a cathode-driven amplier 161A and including the diodes 159 and 160 in a common cathode coupling circuit. With the exception of the biasing arrangement illustrated in Fig. 2, this portion of the circuit is essentially identical to that described hereinbefore and the amplitude of the undulating potential which is derived at anode resistor 162 is logarithmically related to the amplitude of the input potential supplied to the control electrode of device 154. This provides the same type of compression which is described in connection with the circuit shown in Fig. 2.
Anode resistor 162 is coupled by a condenser 149 to the control grid of a pentode-type electron discharge device 163 having oppositely-poled germanium diodes 164 and 165 `and a resistor 166 connected in shunt with its grid circuit. The output of pentode ampliier 163 is supplied over a condenser 167 to the control grid of an electron discharge device 168. Device 16S has its anode connected to the positive terminal source 155 and its cathode grounded through a resistor network 169. The grid of device 168 is connected through a grid resistor .170 to a tap of network 169 and the grid further is connected to ground through a resistor 171 and a pair of oppositely-poled germanium diodes 172 and 173. Thus,
because of the inclusion of diodes 164, 165, 172 and 173 and because of a relatively low screen potential provided for device 163, the device 163 may be considered as being included within an additional translating stage which exhibits a non-linear input wave amplitude versus output Wave amplitude characteristic.
l This stage also includes a pentode-type electron discharge device 174 having the output of cathode follower 168 supplied to its grid circuit via a band-elimination lter 175. This lter serves to attenuate frequency components within a small band which includes that frequency due to rotation of antenna 101 of Fig. 5. The output of pentode amplifier 175 is supplied over a condenser 176v to the control grid of an electron discharge device 177 which is connected in a cathode followerhcir cuit similar to the one iny which device 168 is included and having oppositely-poled 1 germanium diodes 178 and 179 connected in shunt with `its grid circuit. The output of cathode follower 177 is supplied to the input of another band' elimination lilter 178 having ay characteristic similar to filter 175. The output of iilter 178 is shunted by a circuit including another pair.` of oppositely-poled germanium diodes 180 and 181. i 1
As pointed out in connection with circuit shown in Fig. 2, the portion ofthe translating system shown in Fig. 6 including devices 154 and y161 exhibits a characteristic which is approximately logarithmic in form. The additional translatingstage including devices 163, 168,
174 and 177 provides a non-linear input wave amplitude versus output wave amplitude characteristic which together withthe approximated function kofithe preceding stage. effects` a ysubstantially logarithmic over-all char-y acteristic for the system of Fig. 6. This, of course, is required in order to kproduce accurate recordings on the` logarithmic paper in recorder 109. f
. The system also includes an automatic gain control circuit which is associated with the kadditional stage for modifying they over-all characteristic of the system. This circuit 4includes a diode Yrectifier 182 having its cathode connected to filter 179 at thepoint atk which ak resistor 183, extending from diodes 180 and 181, isk connected. The anode of diode 182 is Connected to a filter network 134 which, in turn, isconnected to a potentiometer 185. There is thus provided means coupled to cathode follower 177 forderiving a control potential which varies in accordance with variations in amplitude of the wave applied to the system of Fig. 6. f f
- This control potential is applied over the movable tap of potentiometer 185, a resistor 186, which is included together with a shunt condenser 187 in a decoupling network, and over a resistance network 188 to the control grid yof pentode 174. The control` potential is also applied over resistor 186, a resistor` 189, which is included together with a condenser 190 in another decoupling network, and via a grid resistor 191 to the control elec-V trode of pentode 163. The system thus includes means for applying the control potential to each of the pentode amplifiers 163 and 174. Since this potential increases in a negative sense as the wave amplitude increases, automatic gain control action is effected in a known manner.
In operation, by adjusting the movable tap of potentiometer 185, the amount of gain control action may be regulated. in that Way the slope of the logarithmic, input versus outputcharacteristic may be varied to some extent.
The output wave of cathode follower 177 of Fig. 6 is demodulated by a rectier 182, and the undulating components, other than those due to the antenna pattern are attenuated by lter 184. The resulting unidirectional potential which appears at the upper end of the re'- sistance element of potentiometer 185, representing the variations 1in the wave energy produced by rotation of antenna 101 (Fig. 5) compressed in logarithmic fashion, is appliedto recorder 109.
The same advantagesv enumerated in connection with Fig. 2, apply to the use of the diodes 159 and 166 in the cathode circuit of devices 154 and 161 and hence need not be restated. Moreover, the use of the additional stage ofcompression (including devices 163, 168, 174
4and 177), incorporating automatic gain control, in combe made, and hence, it is contemplated by the appended claims to cover any such modifications as fall within the true spirit and scope of my invention.
What I claim as new and desire to secure by Letters Patent of the United States is:
1. A system for logarithmically amplifying a range of ylarge and small amplitude signals comprising a cathode follower, a cathode driven amplifier, a common cathode circuit electrically coupling said cathode follower to said cathode driven amplifier, means for applying said large and small amplitude signals to said cathode follower, a first circuit having an impedance which varies inversely with applied signal amplitude connected across said common cathode circuit for logarithmically compressing said large amplitude signals substantially without compressing said small amplitude signals, a second circuit similar to said first circuit for logarithmically compressing said uncompressed small amplitude signals and said logarithmically compressed large amplitude signals after amplification by said cathode driven amplifier, an additional signal amplifying stage having a nonlinear input signal amplitude versus output signal amplitude characteristic which complements said previously mentioned signal compression and amplification to provide a substantially logarithmic amplification characteristic for said system.
2. In combination, a cathode follower circuit, a cathode `driven grounded grid amplifier circuit, a common cathode resistance electrically coupling said cathode follower circuit to said cathode driven amplifier circuit, means for applying large and small amplitude signals to said cathode follower circuit, a first compression circuit comprising a pair of oppositely poled diodes coupled across said common cathode resistance for logarithmically compressing said large amplitude applied signals substantially without compressing said small amplitude signals, said cathode driven amplier circuit responsive to said compressed large amplitude signals and said uncompressed small amplitude signals for providing amplified output signals, a pentode type amplifier, a second compression circuit comprising a pair of oppositely poled diodes responsive to said amplified output signals for providing logarithmically compressed output signals, means responsive to said logarithmically compressed amplified output signals for providing logarithmically amplilied versions of said first mentioned small and large Vdirectionally conductive devices, second means responsive to said first output signals developed across said cathode load resistance for amplifying said first output signals to provide second output signals, said second means comprising a grounded grid amplifier, third means for cornpressing the amplitude of said second output signals to provide third output signals comprising a pair of oppositely poled unidirectionally conductive devices, fourth means for amplifying said third output signals to provide fourth output signals whose amplitudes bear a logarithmic relationshipI to the amplitudes of said first mentioned large and small amplitude signals comprising a pentode amplifier biased to exhibit a non-linear input signal amplitude versus output signal amplitude characteristic.
References Cited in the file of this patent UNITED STATES PATENTS 2,118,175 DOba May 24, 1938 2,330,109 Brown Sept. 21, 1943 2,342,238 Barney Feb. 22, 1944 2,383,420 Scoles Aug. 2l, 1945 2,460,907 Schroeder Feb. 8, 1949 2,548,913 Schreiner et al. Apr. 17, 1951 FOREIGN PATENTS 475,446 Great Britain Nov. 19, 1937 OTHER REFERENCES Alred: An Anticlutter Radar Receiver- Journal of the Ilust. of Elect. Eng- (British), November 1948, vol. 95, Part III, No. 38, pp. 4594465.
Ross: Design of Cathode Coupled AmplifiersWireless Engineer, vol. 27, pages 212 to 215 (July 1950).
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Cited By (1)

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US3614720A (en) * 1969-11-13 1971-10-19 Us Navy Logarithmic three-color display sonar

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US2118175A (en) * 1935-04-20 1938-05-24 Bell Telephone Labor Inc Control circuits
US2330109A (en) * 1941-03-14 1943-09-21 Radio Patents Corp Electrical apparatus
US2342238A (en) * 1941-12-31 1944-02-22 Bell Telephone Labor Inc Variable attenuation circuits
US2383420A (en) * 1941-08-08 1945-08-21 Vickers Electrical Co Ltd Thermionic valve circuits
US2460907A (en) * 1944-12-28 1949-02-08 Rca Corp Cathode-coupled wide-band amplifier
US2548913A (en) * 1946-04-17 1951-04-17 Edmund D Schreiner Radio receiver with logarithmic response circuit

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Publication number Priority date Publication date Assignee Title
US2118175A (en) * 1935-04-20 1938-05-24 Bell Telephone Labor Inc Control circuits
GB475446A (en) * 1935-09-30 1937-11-19 Telefunken Gmbh Improvements in or relating to electric impedance networks
US2330109A (en) * 1941-03-14 1943-09-21 Radio Patents Corp Electrical apparatus
US2383420A (en) * 1941-08-08 1945-08-21 Vickers Electrical Co Ltd Thermionic valve circuits
US2342238A (en) * 1941-12-31 1944-02-22 Bell Telephone Labor Inc Variable attenuation circuits
US2460907A (en) * 1944-12-28 1949-02-08 Rca Corp Cathode-coupled wide-band amplifier
US2548913A (en) * 1946-04-17 1951-04-17 Edmund D Schreiner Radio receiver with logarithmic response circuit

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3614720A (en) * 1969-11-13 1971-10-19 Us Navy Logarithmic three-color display sonar

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