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Re: [Antennaware] Antenna amplifier noise

To: "DAVID CUTHBERT" <telegrapher9@gmail.com>, "Guy Olinger, K2AV" <olinger@bellsouth.net>
Subject: Re: [Antennaware] Antenna amplifier noise
From: "Andy Ikin" <andrew.ikin@btopenworld.com>
Date: Sun, 26 Apr 2009 14:13:49 +0100
List-post: <antennaware@contesting.com">mailto:antennaware@contesting.com>
Many thanks Guy and David for your replies.

I certainly have something to think about.

Concerning antenna directivity, I am looking to improve the integral amplifier 
in my K9AY Phased Array( 500kHz to 2MHz ). There may be an issue that the array 
gain may be too low for Trans Pacific Dx at the bottom end of the AM Band. Also 
extra gain is needed to over come any feeder pickup and noise in the Phasing 
Controller. Hence, I was trying to find a simple way of comparing amplifiers.

Btw, I manufacture MW Loop and K9AY Phased arrays in very small numbers for MW 
Dxers.

73

Andrew

  ----- Original Message ----- 
  From: DAVID CUTHBERT 
  To: Andy Ikin 
  Cc: antennaware@contesting.com 
  Sent: Saturday, April 25, 2009 5:06 PM
  Subject: Re: [Antennaware] Antenna amplifier noise


  The noise figure of an amplifier tells us the input referred noise in a 1 Hz 
noise bandwidth. A 0 dB Noise Figure (NF) tells us the amp input noise is -174 
dBm. 

  Convert the noise power of the amp output and the input noise of the RX into 
linear units (watts), add the powers, and convert back to decibels. Now refer 
it to the amp input. 

  To start, you need to specify the noise bandwidth. Given your example, and 
neglecting the 30% modulation as we don't need this, you say the RX S/N ratio 
is 10 dB given a signal of -101 dBm. The RX input noise is -111 dBm. For now 
let's say the RX noise bandwidth is 6 kHz. 

  The amp input referred noise, given the 3 dB NF, has a noise power of -133 dB 
in 6 kHz. Here is how this is figured:

  -174 dBm + 3 dB + 10LOG(6000) = -133 dBm. Remember, this is input referred. 
The noise at the 20 dB gain amp output is -133 dBm + 20 dB = -113 dBm = 5.0 fW. 

  The RX input noise is -111 dB = 7.94 fW. 

  5.0 fW + 7.94 fW = 12.94 fW = -109 dBm. This is the new noise referred to the 
RX input. But we want to know the noise referred to the amp input. It is -109 
dBm - 20 dB = -129 dBm. 

  So, the RX noise of -111 dBm is now -129 dBm with the amp. This is a decrease 
in noise of 18 dB. What is the new NF? 
  -129 dBm - 10LOG(6000) - (-174 dBm) = 7 dB. 

  What is the NF of the receiver alone? -111 dBm - 10LOG(6000) = -149 dBm gives 
us the input referred noise. NF = -149 dBm - (-174 dBm) = 25 dB. 

     Dave WX7G

   
  On 4/25/09, Andy Ikin <andrew.ikin@btopenworld.com> wrote: 
    Hello Folks,

    Is the following, a valid method to either measure amplifier excess noise 
or make a meaningful comparison?

    Assume one measures the S/N of a AM Rx to be say 10dB S/N at 30 percent 
modulation for an input signal -101dBm.

    Then one re-measures the Rx S/N with a 20dB noiseless pre-amp. Would the Rx 
sensitivity, 10dB S/N now be a theoretical -121dBm????

    If so, then, if the 20dB amplifier had a NF of 3dB, the measured Rx 
sensitivity for 10dB S/N would be 3dB less i.e. -118dBm!!!!!

    For example, the well respected DXeng RPA-1 HF Pre-amp. has gain of 15.8dB 
at 500kHz. This amplifier increases the RX sensitivity 10dB S/N to -112dBm. If 
the amplifier was noiseless then the RX sensitivity for 10dB S/N would be 
-116.8dBm! So the difference between the noiseless amplifier and the measured 
sensitivity is 4.8dB. Can I assume that 4.8dB is the NF??? I would have expect 
a NF of over 4dB as this amplifier uses resistor feedback.

    I also have a transformer feedback amplifier, gain 14.6dB at 500kHz. This 
amplifier increases the RX sensitivity 10dB S/N to -113dBm. If the amplifier 
was noiseless then the RX sensitivity for 10dB S/N would -115.6dBm. So the 
difference between the noiseless amplifier and the measured sensitivity is 
2.6dB. Can I assume that 2.6dB is the NF???

    The Rx is an NRD525. A HP 8568B Spectrum Analyser and Marconi 2019A signal 
generator is used for amplifier gain measurement and Rx sensitivity.

    I assume that there is probably a flaw in the above rational, but the 
figures don't seem too "way out"!!!

    73

    Andrew
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