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1960-04


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                                                                       HEWLETT-PACKARD

                                                 JOURNAL
                                                  T E C H N I C A L   I N F O R M A T I O N   F R O M   T H E   - h p -   L A B O R A T O R I E S
                                                                                                                                                                             Vol.11 No. 8-10

JBLISHED BY THE HEWLETT-PACKARD COMPANY, 1501 PAGE MILL ROAD, PALO ALTO, CALIFORNIA                                                                                            APR.-JUNE, 1960




                                    The Effect of jut-Circuit Non-Linearity
                                on the Amplitude Stability of RC Oscillators
           Ed. Note: In the RC oscillator the amplitude          which the oscillator has exhibited an exag                control element is presented in the following
           of oscillation is controlled by a thermally-          gerated response to such disturbances (see                article. We believe the analysis will be of
           sensitive resistance in the form of a small           Fig. 2 below). In a few cases actual envelope             general interest because it takes into ac
           tungsten lamp. This control element gives             instability has been observed. Although this              count the effect of the small non-linearity
           the oscillator its characteristic constancy of        effect was generally attributed to tube                   that exists in the amplifier portion of the
           output level over a wide range of operating           anomalies, since aging or replacing the                   oscillator circuit, where previous analyses
           conditions. In practice, for example, the os          tubes removed the effect, over a period of                have assumed an ideally linear amplifier.
           cillator's response is quite slight to such dis
                                                                 time the impression began to form that a                  The analysis shows that, if the amplifier were
           turbances as hum, microphonics, a change
                                                                 more definite factor was involved.                        in fact ideally linear, the envelope response
           with tuning in the impedance ratios in the
           frequency-determining network, or a change               The envelope response was then investi                 to amplitude disturbances would be some
           in loading at the oscillator output.                  gated analytically by Bernard M. Oliver,                  JOO c/fa more than it is. It shows further that
             At the same time, and in contrast to the            -hp- vice-president for R & D, and his analy              the amplifier must have a slight compression
           great majority of cases, experience with the          sis of the RC oscillator envelope response to             for the oscillator to be practical. This agrees
           RC oscillator has disclosed instances in              amplitude disturbances introduced into the                with observed results.


      In the years since the introduction of the RC oscil                                      yields results which are in close agreement with ob
         lator, many analyses have been made of the power-                                     served performance.
      sensitive feedback-controlling mechanism that                                               It is shown that amplifier non-linearity so slight as
      regulates the level of oscillation. To the author's                                      to cause insignificant waveform distortion has a pro
      knowledge, these analyses have all assumed perfect                                       found effect on envelope stability. In fact, were it not
                                   linearity in the amplifier                                  for this slight non-linearity, it would be virtually
               SEE ALSO:
        Using VLF Standard
                                   circuit. Predicted perform                                  impossible to build a simple lamp-stabilized RC os
          Broadcasts         p. 8  ance, however, does not al                                  cillator with good envelope stability over a wide
        De Gaulle visits -hp- p. 3
                                   ways agree with experience.                                 frequency range. This is borne out by the fact that oc
      In particular, the envelope stability is usually much                                    casionally oscillators show up in production which,
      better (i.e., transient disturbances in oscillation am                                   because of a fortuitous combination of tube charac-.
      plitude die out much more rapidly) than the linear                                       teristics, exhibit extremely low distortion. Invariably
      theory predicts, especially for the higher oscillator                                    these units give trouble with envelope "bounce", i.e.,
      frequency ranges. The analysis presented here in                                         they have a highly oscillatory response to envelope
      cludes the effect of non-linearity in the amplifier, and                                 disturbances. In some cases, actual instability occurs




                                                                                                        Fig. 2. Oscillogram showing unusual squeg-
                                                                                                        ging-type transient response produced in
                            Fig. 1. Basic circuit of RC oscillator. Constancy of                        RC oscillator by making linearity of ampli
                            output level is achieved by controlling amplitude of                        fier portion of circuit extremely high. Slight
                            oscillation with thermally-sensitive resistance Ri, a                       amplifier compression gives normal response
                              small tungsten lamp in negative feedback circuit.                                      shown in Fig. 7(a).


      P R I N T E D   I N   U . S . A .                                                                                           C O P Y R I G H T   1 9 6 0   H E W L E T T - P A C K A R D   C O .




                                                                      



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