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Summing of phase noise masks

Discussion in 'Electronic Design' started by koxe, Apr 18, 2007.

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  1. koxe

    koxe Guest

    Dear All!

    I looked nearly one week to find this information, but I failed so I
    want to ask this forum for help.

    My problem is to calculate the phase noise of a satellite radio link.
    The link consists of L-Band up-converter block up-converter, LNB and L-
    band downconverter. All these components introduce phase noise, which
    I have measured. My question is how can I calculate the resultant
    phase noise if I concatinate all blocks.

    First consideration:
    All blocks are frequency converters based on mixing, hence a
    multiplication in time domain will be represented by a convolution of
    the frequency domain. So can I convolve all phase noise measuremenst
    to obtain the eintire phase noise?

    Second consideration:
    Phase noise is per definition a phase modulation with noisy character.
    represents the magnitude of a spectral line compared to the carrier
    power. So if I simply convolve phase noise measurements I ignore the
    character of the phase noise and would assume Gaussian behavior.

    So I would be glad to read your oppinoins.
  2. Mark

    Mark Guest

    I assume you have phase noise plots for each unit, not just a single

    Take the dBc/Hz value for each frequency, convert each value to a
    numerical power value , P =10^(dBc/10), then ADD the powers form
    enach unit for each frequncy, i.e add all the powers at 10kHz offset
    for example, then convert each summed power back to dB dB =
    10*log(P). You have to add the phase noise power at each frequency
    for each can't add dB directly so you have to convert dB to
    numberical power, ADD, then convert back to dB.


    If you have just a single number at a single offset frequency , you
    probably don't have enough meaningfull information


  3. By the way, noise is added as squares and then taken
    the root of it, not just adding the amplitudes.

  4. Mark

    Mark Guest

    I beg to differ,,, in the procedure above, we are adding noise POWER
    numbers which can be added directly. If we were combining noise
    VOLTAGE numbers, then yes squares/root are needed. But since the
    numbers are already POWERS, direct simple addition is correct.

  5. koxe

    koxe Guest

    Thank you for your ideas!

    But I am not sure if your method is mathematically correct. A
    frequency shifter like the L-band converter uses a mixer. Mixer are
    mathematically represented by a multiplier. Hence two time signals are
    multiplied, which corresponds to a convolution in the frequency
    domain. So if I have two signals with the measured phase noise, my
    approach would be the convolve these two signals to obtain the entire
    phase noise. As you described the convolution has to be performed with
    non dB values.

    I tried both method in Matlab, and observed only slight differences in
    the result. The convolution gave a more smoothed result, but in
    average the results mainly the same.

    Many thanks again for your ideas!

  6. Mark

    Mark Guest

    what you say above is true but the end result is that the mixer simply
    takes whatever phase noise is present on the LO signal and "adds" it
    onto the converted signal. Adds means using the method described.
    Another way to think about it is....phase noise is unwanted FM
    modulation with noise as the modulating singal.... Whatever FM is
    present on the LO will also be imparted onto the converted signal. If
    the LO shifts up by 10 Hz, the converted signal will also shift (up or
    down) by 10 Hz.

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