You have the noise figure of the filter/preamp combination correct at 5 dB.

However, you may not be able to ignore the contribution of the spectrum
analyzer. Some (many? most?) have rather high noise figures, well over 20
dB. Your amplifier gain is effectively only 19 dB, so the spectrum analyzer
contribution may not be negligible. The noise power of a 50 ohm resistor in
a 1 Hz bandwidth is -173 dBm. The noise power scales directly with
bandwidth, so in (for example) 1 kHz bandwidth, the noise power would be
-143 dBm. Look at the noise floor of your spectrum analyzer, using its
noise power function, and see high much higher you are than the noise power
of a 50 ohm resistor in the selected bandwidth. This will tell you the
noise figure of the spectrum analyzer.

The antenna is another matter. The antenna factor is a transducer factor.
It is used to tell you the magnitude of the signal produced given a certain
field strength. There is no noise figure as such for the antenna. Since the
antenna is looking at a room temperature ambient (i.e., not looking to
space), its noise is that of a 50 ohm resistor at room temperature
(assuming the antenna impedance is 50 ohms). The signal level is determined
>from the field strength and the antenna factor. So you will have a certain
signal-to-noise ratio at the output of the antenna, given a bandwidth. The
signal-to-noise ratio will be worsened dB for dB by the noise figure of the
filter/amplifier/spectrum analyzer system that follows.

Don Borowski
Schweitzer Engineering Labs
Pullman, WA





[email protected]@majordomo.ieee.org on 04/10/2003 05:38:55 AM

Please respond to [email protected]

Sent by:    [email protected]


To:    [email protected]
cc:
Subject:    Noise Factor



I need verification that I am computing the noise factor (NF) of my
emissions receiver correctly. The system will measure emissions in the 1-10
GHz band and will use a horn antenna followed by a high pass filter
followed
by a preamp feeding a spectrum analyzer. I can ignore the NF of the
spectrum
analyzer. since gain of the preamp is 20 dB, so the total NF will be set by
the other three elements. The NF of the preamp is 4 dB, the insertion loss
of the filter is 1 dB and the antenna factor of the horn is 39 dB at 10
GHz.
I understand that the NF of the filter will be equal to the insertion loss,
1 dB. And the NF of the antenna will be equal to its insertion loss
(antenna
factor), 39 dB at 10 GHz. Therefore the total NF of the three elements will
be the sum of their NFs - i.e., 39 + 1 + 4 = 44 dB.  It seems that I don't
have to be overly concerned about the NF when I select a preamp, since the
only way of reducing the NF significantly would be to improve the antenna
factor. Are my calculations correct?





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