March 17, 1959 woo F, cHow ETAL 2,878,386 STABLE TRANSISTOR OSCILLATOR Filed Feb. 26, 1957 FlG.l. 15 INVENTORI WOO F. CHOW , DEAL!) A. PAYNTER , TH ‘M TTORNEY United States Patent 0 "ice 2,878,386 Patented Mar. 17, 1959 2 best be understood by reference to the following descrip tion taken in connection with the accompanying drawing in which Fig. l is a circuit diagram illustrating one embod iment of our invention; Fig. 2 is a circuit diagram similar to the circuit of Fig. l in a form modi?ed for facilitating 2,878,386 STABLE TRANSISTOR OSCILLATOR Woo F. Chow and Donald A. Paynter, Syracuse, N. _Y., assignors to General Electric Company, a corporation of New York Application February 26, 1957, Serial No. 642,429 5 Claims. (Cl. 250-36) an impedance analysis of the circuit; Fig. 3 is the T-equiv alent circuit of the transistor shown in Figs. 1 and 2; and Fig. 4 is a simpli?ed equivalent circuit of the circuit of Fig. 2. Referring now to the drawings, in Fig. 1 we have 10 shown an NPN transistor 10 having base electrode l1,_ emitter electrode 12 and collector electrode 13. An emit ter biasing resistor R, is connected between emitter elec trode l2 and a common point 14 which may be main Our invention relates to stable transistor oscillators 15 tained at ground potential as indicated. A base biasing and more particularly to transistor oscillators employing resistor R1 is connected between base electrode 11 and series resonant L-C circuits for stabilization. common point 14. A load impedance R1, is connected In the prior art it has been conventional to stabilize between collector electrode 13 and terminal 15, terminal oscillators by the use of inductor (L) and capacitor (C) 15 being connected to a source of potential V+, the other circuits for moderate degrees of stability, and by the use 20 side of which is connected to ground. Dropping or volt of non-linear components such as crystals where the need age dividing resistor R, is connected between base elec for a greater degree of stability justi?es the expense. trode 11 and terminal 15. An inductor L2 and a capaci~ Both series and parallel L-C circuits have been used tor C3 are connected in series across emitter biasing re to stabilize oscillators. Among the circuits employing sistor R, and an inductor L, and capacitor C1 are con series L-C resonance is an oscillator described by J. K. 25 nected in series across base biasing resistor R1. Clapp in his article “An inductance-capacitance oscillator The circuit of Fig. 1 illustrates one embodiment of the of unusual frequency stability,” Proceedings of the tuned emitter, tuned base oscillator of our invention. The I. R. B, vol. 36, p. 356, March 1948. Various modi?ca D. C. circuit includes the four resistors R1, R2, R3, and tions employing series L-C resonant combinations have R1, and the voltage supply V+. The values of these re also been devised. 30 sistances can be selected on the basis of standard ampli In stabilizing the frequency of a transistor oscillator ?er design procedure, subject to the modi?cations which with L-C combinations it is desirable that the values of will appear later in the analysis of the oscillator circuit. the external inductances and capacitances control the This resistor con?guration is suitable for good D. C. sta frequency of oscillation to the substantial exclusion of bilization. The two series tuned L-C networks, compris variations in the transistor parameters or the oscillator 35 ing inductor L1 and capacitor C1 and inductor L2 and supply voltage. Since L-C components can be made very capacitor C, respectively, form the resonant elements of stable, at high degree of frequency stability can then be the oscillator network. Oscillation will occur when the achieved without the use of elaborate non-linear com negative resistance present from base 11 of transistor 10 pensation techniques. to the common terminal 14 is sut?cient to cancel the Accordingly, it is a principal object of our invention 40 losses in the resonant circuit formed by inductor L1 and to provide a stable transistor oscillator. Another object of our invention is to provide a tran capacitor C1. ‘ Turning now to Fig. 2, we have shown the circuit of Fig. 1 re-drawn to facilitate a mathematical analysis. Re sistances r; and r, are the internal loss resistances of L; sistor oscillator having a high degree of stability without necessitating the use of non-linear circuit elements. A further object of our invention is to provide a stable 45 and L3 respectively and Rh is given by transistor oscillator employing series resonant L-C net works. RlRa A still further object of our invention is to provide a R1+R8 stable transistor oscillator employing series resonant L-C where R, and R, are the same as indicated in Fig. l. The networks which will provide a higher degree of stability than has been heretofore obtainable by the use of such networks. In carrying out our invention in one form thereof, a 50 remainder of the circuit differs from the circuit of Fig. 1 transistor having base, emitter and collector electrodes is connected in common emitter con?guration and provided 55 with proper biasing means in order to establish a stable D. C. operating point. A series resonant L-C network is connected from the transistor emitter electrode to a com only in that the source of voltage is not shown. The impedance Z; in the base circuit externally between base electrode 11 and common point 14 is given by (1) mon point. The values of inductance and capacitance in this network are selected in order to insure oscillation 60 The impedance Z, in the emitter circuit between emitter in the circuit. A second series L-C network is connected electrode 12 and common point 14 is given by from the transistor base electrode to the common point. The combined values of inductance and capacitance in the two series resonant L-C networks determine the fre quency of oscillation of the transistor oscillator circuit 66 to the substantial exclusion of variations in supply voltage and transistor parameters resulting from temperature changes and other eliects. Consider the T-equivalent circuit for transistor 10 as shown in Fig. 3, where n,’ represents the transistor equiv alent base resistance at high frequencies, ra represents the in the appended claims. Our invention itself, however, 70 emitter resistance, 2,, represents the collector impedance together with further objects and advantages thereof, can and it represents the current gain. Since 2;, of Equation The novel features which we believe to be charac teristic of our invention are set forth with particularity 2,878,386 3 4 In order to maintain oscillation 2, is in series with the emitter resistance re the input im pedance Z; of the common emitter stage is E l6)z[r.+w.bl+<r.'+r.+r.>(1+1)] (13) (I) w 2 was From Equation 11 we have the frequency of oscillation (14) 10 (15) 15 Thus, the frequency of oscillation is very nearly the res onant frequency of the circuit formed by the series con nection of L1, I4, C1, and C2 and the circuit will oscillate provided that L2 and C2 are chosen according to the con 20 dition stated in Equation 13. One set of values for the embodiment shown in Fig. 1 illustrating a typical operational design is as follows: “a: the low frequency a R1=R,=R3 ______________________ __ohms__ 10K L1=L3 C3 1;, -----------------------------_______________________________ _________________________ .._llh_._ __d0_____ .._/1,uf__ 1 t0 110 frequency at which a is 3 db below its low frequency C1 _______________________________ "MAL- 510 value :10. ‘1+ ____________________________ __volts__ and wc=2irfv where f,l is the a cutoff frequency which is the When the frequency is near the resonant frequency f0 30 of L1><C, and Lgxcg, the e?ect of Rb and R, can be Transistor 10 _______ .._. _________________ __ 20 2N78 1 Variable. The inductances of inductors L1 and L2 are adjusted for the desired frequency and the amount of feedback, as is indicated by good sinusoidal output at the transistor 35 collector 13. The stability with respect to supply voltage neglected, thus variations of the above circuit is of the order of 7 parts per million per 12% variation of voltage. This de gree of stability is a considerable improvement over the Combining Equations 3, 4, 5, 6 and 8 and simplifying stability of the above-mentioned Clapp oscillator for in the result by assuming R1, is of the order of 103 ohms and 40 stance, which in its transistorized form is of the order of 200 to 400 parts per million for a 10% variation in sup ply voltage as speci?ed by E. Keonjian in his article “Stable transistor oscillator,” IRE Transactions of we have PGCT, vol. CT-3, No. 1, p. 38, March 1956. The above circuit analysis and comparison with the 45 corresponding Clapp oscillator show that the series— tuned base, series-tuned emitter transistor-oscillator of the present invention is capable of producing A. C. voltages of excellent frequency stability without the use of non-linear compensation techniques. (9) It will be obvious to those skilled in the art that A simpli?cation of the circuit of Fig. 2 is shown in 50 other biasing configurations can be used employing at the Fig. 4 from which the loop impedance is same time the circuitry of our invention. Thus, while we have shown a particular embodiment of our invention, it will be understood, of course, that we do not wish 55 to be limited thereto since many modi?cations may be made and we therefore contemplate by the appended (10) At the resonant frequency of the entire circuit of Fig. 4 80 Patent of the United States is: 1. A series tuned transistor oscillator comprising a wL1--;1C—l+wL=-;-1@—%(n+r=)=0 transistor having base, emitter and collector electrodes, or sL‘1-i+=-,L=--1—=i’-"(r.+rn wC'; we; a: claims to cover any such modi?cations as fall within the true spirit and scope of our invention. What we claim as new and desire to secure by Letters (11> In order to produce oscillation a‘ncg‘ative resistance in the impedance 2, must exist. Thus biasing means connected to said transistor electrodes for establishing a stable direct current operating point for 65 said transistor, a series tuned inductance-capacitance network connected from said emitter to a common point, a load impedance connected from said collector elec trode through a source of potential to said common point, said load impedance being small compared with the out 70 put impedance of said transistor, and a series tuned in ductance-capacitance network connected from said base electrode to said common point, whereby the frequency of oscillation of said oscillator will be substantially de termined by said series tuned inductance-capacitance net works. 2,878,886 5 6 minal; a load impedance connected between said col‘ lector electrode and the other terminal of said source, transistor having base, emitter and collector electrodes, said load impedance being small compared with the out~ biasing means connected to said transistor electrodes for put impedance of said transistor; a voltage dividing re establishing a stable direct current operating point for sistor connected between said base electrode and said said transistor, a series tuned inductance-capacitance net other terminal; a series tuned inductance-capacitance work connected from said emitter electrode to a common network connected across said base biasing resistor; and point, said inductance-capacitance network providing a a series tuned inductance-capacitance network connected capacitive reactance which is large at the frequency of across said emitter biasing resistor, said emitter induct oscillation compared with its inductive reactance and the ance-capacitance network providing a capacitive react 10 input resistive components of said transistor, 21 load im ance which is large at the frequency of oscillation com pedance connected from said collector electrode through pared with its inductive reactance and the input resistive a source of potential to said common point, said load im components whereby the values of the two series tuned 2. A series tuned transistor oscillator comprising a pedance being small compared with the output impedance inductance-capacitance networks determine the frequency of said transistor and a series tuned inductance-capaci tance network connected from said base electrode to 15 of oscillation to the substantial exclusion of the variation in transistor parameters. said common point whereby the effect of variations of 5. A series tuned transistor oscillator comprising a transistor parameters on the frequency of oscillation of transistor having base, emitter, and collector electrodes, said oscillator are minimized, said frequency being sub stantially determined by said series tuned inductance a source of direct current potential, resistance means transistor having base, emitter and collector electrodes, connected between said transistor electrodes and said source for establishing a stable direct current operating point for said transistor, a load impedance connected biasing means connected to said transistor electrodes for establishing a stable direct current operating point for said transistor, a ?rst inductor and a ?rst capacitor con nected in series from said emitter electrode to a common capacitance network connected from said emitter to said common point, said emitter network proportioned to capacitance networks. 3. A series tuned transistor oscillator comprising a from said collector electrode through a source of po tential to said common point, a series tuned inductance have a net capacitive reactance so as to present a nega point, said ?rst capacitor being small enough to provide tive input resistance between said base and said common a capacitive reactance which is large at the frequency of point, a series tuned inductance-capacitance network oscillation compared to the combined impedance of said ?rst inductor and the input resistive components of said 30 connected from said base to said common point so as to oscillate in conjunction with said negative input re transistor, a load impedance connected from said collec sistance, the inductance-capacitance values of said series tor electrode through a source of potential to said com tuned circuits determining the frequency of oscillation to mon point, said load impedance being small compared the substantial exclusion of variations in transistor pa with the transistor output impedance, and a second in ductor and a second capacitor connected in series from 35 rameters. said base electrode to said common point whereby the References Cited in the ?le of this patent combined values of said inductors and capacitors deter mine the frequency of oscillation of said oscillator. UNITED STATES PATENTS 4. A series tuned transistor oscillator comprising a transistor having base, emitter and collector electrodes; a source of direct current potential; a base biasing re sistor connected between said base electrode and one ter minal of said source; an emitter biasing resistor con nected between said emitter electrode and said one ter 40 1,896,781 2,382,954 Llewellyn ____________ __ Feb. 7, 1933 Beaudoin ____________ __ Aug. 21, 1945 2,438,382 2,750,508 Born _______________ __ Mar. 23, 1948 Waldhaur ___________ __ June 12, 1956