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![Page 2: Owen Duffy VK2OMD vk2omd.net owen@vk2omdowenduffy.net/files/NoiseAndReceivers.pdfOwen Duffy VK2OMD vk2omd.net owen@vk2omd.net. The importance of noise Definition of noise Thermal noise](https://reader034.vdocuments.us/reader034/viewer/2022042508/5f95a11e3be57f17ee35f85a/html5/thumbnails/2.jpg)
� The importance of noise
� Definition of noise
� Thermal noise
� ‘Measuring’ noise
� Other noise distributions
� Noise and amplifiers
� Signal and Noise
� Noise and receivers
� Receiver specifications
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� Receiver noise sources
� Expected ambient noise
� Combining noise sources
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� Noise is one of the two factors in Signal/Noise ratio, a most important indicator of readability of signals
� We often focus on the S part of S/N ...◦ high power transmitters
◦ antenna gain
� ... ignoring the N part!
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� Noise is any unwanted energy that degrades a desired signal
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� Thermal noise (Johnson Noise, Nyquist Noise) is:◦ electronic noise created by the thermal agitation of
electrons inside a conductor◦ created by virtue of the absolute temperature of the
conductor, and independent of any externally applied current
� Thermal noise power per unit bandwidth is approximately independent of frequency (white noise)
� Power available from a resistance is:◦ �� � ���� where◦ B is bandwidth (Hz)◦ T is the absolute temperature of the resistance (K)◦ kB is Boltzmann’s constant (1.38e-23 J/K)
� Noise Power Density available can be calculated as:◦ NPD� ��� /��
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� Noise voltage generated in a resistance is:
◦ �� � 4����� V where
◦ R is resistance (Ω)
� Thermal noise is created by a random process
� Statistical equivalent◦ instantaneous voltage is Gaussian, ie it behaves like
a Normally distributed independent random variable with a mean and variance:
� VDC=mean (0); and
� VRMS= ��������
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0%
5%
10%
15%
20%
25%
30%
35%
40%
45%
-3 -2 -1 0 1 2 3
Pro
babilit
y (%
)
Instantaneous voltage / VRMS
Probability distribution of thermal noise
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� Successive ‘measurements’ don’t capture exactly the same phenomena
� Noise is sampled rather than measured
� Additional element of uncertainty due to the sampling process
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� Measurement instruments / techniques:◦ bandwidth
◦ integration period
◦ true power (RMS voltage)
◦ averaging detector
◦ quasi peak detector
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� Pink noise
� Band limited
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� practical / imperfect amplifiers
� noise equivalences - power, voltage, temperature, resistance
� cascading stages - gain, noise power, equivalent input noise
� system equivalent noise
� source noise
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� Signal to Noise (S/N)◦ conceptual, often not directly measured
� (S+N)/N◦ quite measurable◦ can be converted to S/N, S/N=(S+N)/N-1
� SINAD◦ (S+N+D)/(N+D)◦ similar to (S+N)/N, but recognises Distortion
component
� Noise Factor / Noise Figure◦ the degradation of S/N by a system component
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� S/N ratio - ALWAYS a power ratio◦ can be expressed in dB
◦�
�� 10log
"#$%
"%& 1 dB
◦�
�� 10log 10
'#$%'%
()
*+ & 1 dB
� (S+N)/N ratio - ALWAYS a power ratio◦ can be expressed in dB
◦ 10 log"#$%
"%dB
◦ 20log -#$%
-%dB
� SINAD ratio - ALWAYS a power ratio◦ can be expressed in dB◦ the ratio of the total power level (Signal + Noise +
Distortion) to unwanted power (Noise + Distortion)
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� Noise Figure is a measure of the degradation of S/N ratio - ALWAYS a power ratio expressed in dB
◦ ./ � 10012
#
% 34#
% 567
dB
◦ ./ ��
� 89:� &
�
� ;<=:�
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� Noise Figure◦ good measure, bandwidth independent◦ measurement possible, Y factor method, usually
with known broadband noise source (diode noise source, resistors at known temperature, cold sky, Sun, other Celestial objects)
� Sensitivity◦ bandwidth dependent◦ states signal level for given S/N, (S+N)/N, SINAD◦ measured with Standard Signal Generator and audio
output power measuring instrument (could be automated SINAD meter)
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� Equivalent Noise Temperature◦ good measure, bandwidth independent◦ not usually directly measured◦ can be calculated from Noise Figure◦ not usually expressed in dB◦ mainly used for very low noise systems
� Noise Floor◦ bandwidth dependent◦ equivalent system noise referred to input terminals◦ can be measured directly, but usually calculated
from an indirect measurement◦ often expressed as dBm, need to know bandwidth
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� Minimum Discernable Signal (MDS)◦ bandwidth dependent
◦ ARRL preference, and fundamental to some other ARRL used terms
◦ misleading term (it is possible to copy CW well below MDS)
◦ meaning and measurement is as per Noise Floor
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� Elecraft K3: "Sensitivity: -136 dBm or better (typical), 500Hz b/w.”◦ is preamp ON/OFF?
◦ what is the S/N?
◦ is the 500Hz b/w effective noise bandwidth?
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� Kuhne TR 1296 H-144: “RX gain min 20 dB, Noise figure @ 18 °C typ 1.2 dB”◦ what is worst case NF?
◦ otherwise, complete and meaningful
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� Icom 7800: “Sensitivity (typical) (BW: 2.4 kHz at 10dB S/N) SSB 1.8–29.999 MHz 0.16μV (Preamp 1 ON)”◦ what is worst case?
◦ is bandwidth effective noise bandwidth?
◦ otherwise, complete and meaningful
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� internal
� external (ambient)◦ man made noise (QRM)
◦ galactic noise (Q??)
◦ atmospheric noise (QRN)
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0.0
0.5
1.0
1.5
2.0
2.5
3.0
-30 -25 -20 -15 -10 -5 0
Rela
tive level of
com
bin
ed
sou
rces (d
B)
Relative level of second source (dB)
Combining two noise sources
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� Receiver noise floor (preamp OFF) in 2kHz◦ -125dBm
� 40m residential, assume ambient noise is per ITU-R P.372-8◦ -91dBm with lossless 0dBi antenna
� Ambient noise is 34dB above receiver noise
� For less than 1dB S/N degradation due to receiver noise◦ we want external noise fed to the receiver to be at least
6dB higher
� We can afford antenna system gain to be as low as -28dBi
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� Receiver sensitivity metric converter◦ http://owenduffy.net/calc/RxSensitivityCalc.htm
� Expected ambient noise level◦ http://owenduffy.net/measurement/noise/FSAmbie
ntNoise.htm
� Convert Vpk-Vpp-Vrms-dBV-dBu-mW-dBm◦ http://owenduffy.net/calc/voltcnv.htm
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� The importance of noise
� Definition of noise
� Thermal noise
� ‘Measuring’ noise
� Other noise distributions
� Noise and amplifiers
� Signal and Noise
� Noise and receivers
� Receiver specifications
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� Receiver noise sources
� Expected ambient noise
� Combining noise sources
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� http://owenduffy.net/presentations.htm
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