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HP-AN301-1--Low-noise-division-of 10MHz-oscillators


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    Introduction
    As the frequency of a crystal oscillator increases it becomes increasingly difficult to produce
    high stability resonators. Over a period of about 20 years, the frequency of the state-of-the-art
    high performance crystal oscillators has increased from 100 k Hz to I MHz, then to 5 MHz.
    Currently 10 MHz is the most common frequency available in the highest performance crystal
    oscillators. Although 10 MHz has become accepted as the standard crystal oscillator
    frequency, there are still many applications in communications, navigation, and
    instrumentation which require 5 MHz, I MHz or other frequencies. Many times the system
    designer would like to have a local oscillator or timebase which is not a standard frequency.
    The choices are either to purchase a special frequency oscillator, often at a significant cost
    increase, or to design special interface circuitry to take advantage of the standard frequency
    oscillator. The purpose of this application note is to assist the system designer in designing
    interface circuitry that will produce required frequencies by division (+2, +4, +10 and others) of
    a standard 10 MHz oscillator.

    The system designer, interested in high stability oscillators, would like an interface to the
    system which minimally degrades the oscillator performance. In theory, frequency division
    improves the signal to noise ratio. Practically, interface circuitry cart be designed which induces
    only a small amount of deterioration in performance. This note describes specific circuits
    which have produced as little as 6 dB to 8 dB of phase noise degradation (at 10 kHz
    from the carrier) in divide-by-ten and divide-by-two circuits, respectively, when operating
    on the output of an HP 10811 oscillator. It is a very high stability, ovenized, 10 MHz
    crystal oscillator which, with a good interface, can provide a highly stable, non-10MHz
    signal to a system.

    The total system might look like Figure 1, with the oscillator and interface circuitry supplying
    the timebase signal or local oscillator to the designer's main system. The input conditioning
    modifies the oscillator output so that the divider receives the proper signal levels, then the
    output conditioning provides amplification to the signal levels needed for the time base or local
    oscillator requirement.




    Figure   1

    Noise        Description

    Oscillator noise performance is specified in terms of time domain stability and/or phase noise.
    Time domain stability and phase noise are the time and frequency domain measurements,
    respectively, of the same noise. Time domain stability is divided into two different
    measurements, long term and short term. Long term stability measures the amount of change
    over a day or more and is usually expressed as an aging rate. The aging rate is crystal
    dependent and, in good oscillator design, is not affected by the oscillator electronics. Short
    term stability can be affected by both the electronics and the crystal and includes spurious
    signals. A noisy transistor can make a major difference in the noise.


    Phase noise is usually discussed as random components alone and is comparable to short term
    time domain stability with no spurious signals. During a phase noise measurement a 60 Hz
2   sideband will show up as a discrete frequency while a time domain stability .rneasurement will
      show the 60 Hz sideband as a series of lumps in a graphical plot. Phase noise is normally the
r--   accepted measure used to determine the degradation of the oscillator's performance by the
      interface circuitry.

      A measurement system that can be used for understanding very low phase
      noise measurements is described in the appendix after the sections on input conditioning,
      frequency dividers, and output conditioning.


      Input          Conditioning
      An input stage should accept the signal from the oscillator and shape it for use by the divider
      circuit. The designer, therefore, must first decide on the logic family to be used in the divider
      and then design the input stage accordingly. The HP 10811oscillator output is a 10 MHz
      sinewave of O.SV rms into a sOn load. The 10 MHz signal requires DC level shifting (biasing)
      and squaring before a digital divider can utilize it. The dividers chosen for this application are
      low power Schottky TTL, requiring a low level of 0.8V and a high level of 2.0V. The most
      important characteristics of the input conditioning circuit are: noise since it should be as quiet
      as possible and speed, because sharp transitions help reduce noise. .


      In some applications, emitter coupled transistors (employed as current switches) have been
      used to bias and square the signal from an oscillator. The emitter coupled switch prevents
      saturation of the transistors, thus improving speed and enhancing quiet operation. Another
      technique described by Baughl, is to use a switching diode for the second transistor of an
      emitter coupled pair. Either circuit can be used as the input stage.


      A sample circuit using the diode technique is shown in Figure 2. The circuit degrades the
      oscillator performance by 3 to 6 dB.* To minimize the degradation it is important to use a
      well regulated DC power supply to prevent spurious signals. This can be the same + 12

r     VDC supply that powers the oscillator circuitry. Also, while building this stage it is
      important to keep the path from the emitter through the diode to ground via the shunt
      capacitor as short as possible. This way, the inductance in the path is minimized so that
      the high frequency gain of the stage is not degraded. This helps to keep the switching
      transitions sharp.


                                            +12 Vdc



                                                                                            {   2N3906

                                                                                       a1
                                                                                                2N2907




                                                                                   ___      j   1NN
                                                                                                1        4150
                                                                                                         4444
                                                                                   l;Hl
                                                                              (ROUGH            1 N      4448

                                                                        EQUlyALENTS)            1N       9146




                                                                                                RI = 1 k!1

                                                                                                R2,R3=215!1
                                                                                                R4 = 909!1

                                                                                                CAPACITORS ARE
                                                                                                X7RDIELECTRIC




      Figure     2




      Dividers

      The divider circuit takes the squared 10 MHz signal from the input stage, divides by the
      chosen integer, and provides a quiet squarewave signal. There are several questions the
      designer needs to consider:
r--      1) Which logic family?-Low       power Schottky is chosen for this application note.
            Schottky is used because it eliminates saturation, increasing the speed of the device, and

      oSee appendix for measurement   system.                                                                    3
            low power is used because it experimentally appears to be the quietest. However, if the
            designer's system uses another logic family, a trade off in performance is possible. It may
            be quieter to use the system's logic in the interface circuit rather than using the LS TTL
            and adding an output stage.                                                  .
        2) Symmetrical or assymmetrical output?-For               this application note, symmetrical
            output is chosen since it can be easily filtered to provide a sinewave output. Symmetrical
            signals have a 50% duty cycle (they are ON for 50'7'0 the time) and they contain no
                                                                     of
            even harmonics. The lack of a second harmonic in the signal makes filtering much
            easier. Assymmetrical output eases the design process for odd integer division but
            causes a loss of signal due to the <50% ON (or OFF) time. Because of the signal loss,
            the signal to noise ratio is lower if the output is converted to a sinewave. Therefore, for
            sinewave output the phase noise may be higher .
        3) Which device?- The choice of a divider IC depends partially on the answers to
            questions (1) and (2). After that the designer must choose a device that provides the
            proper division ratio.
    There are numerous possibilities for integers, dividers, and devices. Therefore, only two
    specific examples will be discussed: symmetrical divide-by-two and divide-by-ten. Other circuits
    can be designed using similar techniques. For an easy symmetrical di~de-by-ten the 74LS290,
    an asynchronous bi-quinary counter, was used (see Figure 3(a)). This device is easily modified
    for either asymmetrical divide-by-two (Figure 3 (b)) or an assymmetrical divide-by-five. The
    74LS290 has four flipflops; three are cascaded together and the fourth can be cascaded onto
    either end, providing bi-quinary, assymmetrcial divide-by-ten and symmetrical divide-by-ten.
    Cascading additional devices will provide many possibilities for additional division.




    Figure   3




    Ideally a divider should improve the phase noise performance in dBc by 20 log N where N is
    the division integer (2, 4, 10 ...). However, since the HP 10811oscillator itself has such low
    phase noise, improvement is not practically possible. Any deterioration or lack of improvement
    in the signal must be due to noise in the divider and the buffer stages. Little additional phase
    noise improvement is seen in the division stage and the combination of input and divider stages
    looks very similar to the input stage alone.

    A subtle trap for the unwary designer is the frequency capability of the divider. Some TTL
    devices do not function at 10 MHz, so the designer much check the frequency capabilities of
    every device used. For example: The 74LS290 has a maximum frequency specification of at
    least 16 MHz for the B input and at least 32 MHz for the A input. For a 20 MHz input signal
    this device probably could not provide asymmetrical divide-by-ten. However, it is adequate for
    a 10 MHz signal.

    Power for the divider can be furnished by either a regulator circuit from the + 12 VDC supply
    or from a separate +5 VDC supply.
4
     Output
r    The output stage mayor may not be necessary since the output requirement will vary for each
     application. The system for which the interface circuitry is being designed is going to have a
     specific timebase or local oscillator need. This may be for a sinewave, one of various logic
     levels (TTL, ECL, ...), or something else entirely. Other requirements for the output stage
     are minimal phase noise degradation and proper amplification to the desired output levels.

    Since individual output needs will vary substantially, this application note will address directly
    only TTL and sinewave outputs. The quietest output will be the TTL from the divider as there
    will be no additional stages in the interface to add noise. The output of the TTL device
    functioning as the divider may be applied to any system with TTL requirements; of course, it is
    necessary to follow fan-out restrictions of the divider .


    Additional amplification and signal conditioning will add some amount of noise. A circuit which
    supplies a sinewave output of 1 Vrms into 500 is shown in Figure 4. This circuit adds about 2
    dB of noise* to the output. Note that shorting the output of this stage causes the collector of
    the second transistor to suffer very large voltage swings. If the load impedance isn't matched
    to the output impedance, filtering problems may occur since the filter does an impedance
    transformation. A low pass filter is used to produce the sinewave from a squarewave. A
    capacitor and an inductor, resonant at the desired output frequency, provide additional band
    pass filtering at the frequency of interest.




    Figure    4




    Figure    5

    Another possible output stage, shown in Figure 5, provides an amplified squarewave output.
    The shape of this squarewave depends on transformer parameters, especially its primary
    magnetizing inductance. If the primary inductance is not high enough, an inordinate amount of
    *See appendix for measurement system.                                                                5
    sag or droop will occur in the signal. The transformer also does an impedance transformation
    on the output. This circuit introduces about the same amount of noise* as the one in Figure 4.
    but it is isolated better. The amplifiers are similar in function: the one in Figure 5 outputs 1.5V
    peak to peak squarewave into 50!1 and it uses fewer components. The designer has a trade off
    of simplicity and squarewave versus sinewave.

    Complete circuits are shown in Figure 6. Typical measurements data for each circuit is shown
    in Table 1. The .C(f) values represent the combined noise of both oscillators or oscillator/
    interface combinations. These are worst case .C(f) values. The corrected values can vary from
    one oscillator being actually at the listed value and the other being at least 6 dB better to both
    oscillators being 3 dB better than the measured value.




    Figure      6



                                                        Table 1

                                                                     frequency (Hz)
             What was measured?             Output circuit        (offset from carrier)    .C(f)   (dB)



             10811vs 10811                                                10k                 -160
                                                                           lk                 -157
                                                                         100                  -148

             10811 + 2                                                     ~Ok                -153
              V5.                              Figure     4                 lk                -152
             10811 + 2                                                   100                  -147

             10811+ 10                                                    10k                -154
              vs.                              Figure     4                    lk            -152
             10811+ 10                                                   100                 -145

             10811 + 2                                                     10k               -152
              VS.                              Figure     5                    lk            -151
             10811 + 2                                                                       -147
6                                                                        100


    *See appendix for measurement system.
    Appendix
r
    Measurement
    Measuring low phase noise can be very difficult. This appendix is added to describe the system
    used, with the intention of giving the reader some understanding of how the measurements
    were made. It is not intended to provide a cookbook measurement system. For those
    interested in actually making low phase noise measurements, Fischer's papers on frequency
    stability3 and frequency domain measurements2 should be helpful.

    What is phase noise and how is it measured? Phase noise is the amount of phase jitter or
    variations in zero crossings of a signal. It can also be described as random FM or PM
    sidebands on the signal. If non-random or discrete frequency sidebands are present, it is more
    meaningful to specify and discuss the non-random components separately. Phase noise is
    usually described in one of two ways.
        S", (f)-the spectral density of phase modulation in a 1 Hz bandwidth, or
           'c(f)-the single sideband phase noise-to-carrier ratio in a 1 Hz bandwidth which, for high
                   purity signals, is ~ S", (f) -3 dB.
    Phase noise can be measured by several different techniques,2 most of which use spectrum
    analyzers. When the phase noise is lower than the noise floor of the spectrum analyzer ,
    mixing/filtering techniques must be used. Measurements for this application were made using
    a double-balanced mixer and a low pass filter for a quadrature mixing technique (see Figure 7).
    This is a phase locked loop; the null meter and oscilloscope are used to monitor the phase lock.




    Figure   7

    This system mixes two signals in phase quadrature (90



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