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Noise Figure
March 30, 2012
Agilent Technologies
1
Why Do We Care About Noise?
Noise causes system impairments
• Degrades quality of service of TV, cell phones
• Limits range of radar systems
• Increases bit-error rate in digital systems
Ways to improve system signal-to-noise ratio (SNR)
• Increase transmit power
• Decrease path loss
• Lower receiver-contributed noise
• Generally easier and less expensive to decrease receiver noise than to increase transmitted power
I
Q
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What’s the Difference Between Noise Figure
and Phase Noise?
Both are figures-of-merit characterizing the amount
of undesired noise from a component or system
Noise figure characterizes additive noise from
amplifiers, mixers, frequency converters, and antennas
Phase noise characterizes noise around an RF carrier signal
• Most often used for oscillators
or signal sources
• Sometimes used
to look at additive
carrier noise as it
passes through
a component
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Noise Figure Definition
Noise figure is defined in terms of SNR degradation:
F = (So/No)
(Si/Ni) =
(No)
(G x Ni) (noise factor)
NF = 10 x log (F) (noise figure)
DUT
So/No
Si/Ni
Gain
Test system is assumed to be 50 Ω
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Effective Noise Temperature
Available noise power of a passive termination = kTB
• k is Boltzmann’s constant (1.38 x 10-23 J/K)
• kTB = -174 dBm in a 1 Hz bandwidth (@ 290o K)
• For a given system bandwidth, noise is related to temperature
Amount of noise produced by a device can be expressed as an equivalent noise temperature (e.g., 15 dB ENR => 8880K)
Noise factor can be expressed as effective input noise temperature
• Not the physical temperature of the input termination
• Theoretical temperature of input termination connected to a noiseless device resulting in the same output noise power
Te = 290 x (F-1)
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Noise Figure Measurement Techniques
Y-factor (hot/cold source)
• Used by NFA and spectrum-analyzer-based solutions
• Uses noise source with a specified “excess noise ratio” (ENR)
• Measures noise figure and gain
Cold source (direct noise)
• Used by vector network analyzers (e.g. PNA-X)
• Uses cold (room temperature) termination only plus separate gain measurement
• Allows single connection S-parameters and noise figure (and more)
+28V
Diode off Tcold
Diode on Thot
Noise source
346C 10 MHz – 26.5 GHz
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Y-Factor Technique
Thot (on)
Tcold (off)
Pout (hot)= kBGa(Thot + Te)
Pout (cold)= kBGa(Tcold + Te)
Pout (hot)
Pout (cold) Y =
Thot – Y x Tcold
Y – 1 Te =
Noise Receiver
Te
290 Fsys = 1+
Calibration:
Noise Receiver
DUT
FDUT = Fsys – Frcv - 1
Ga DUT
Y-factor yields gain and noise figure
Unknown variables
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Graphical Representation of Y-Factor Technique
Noise Power Out
Pout (cold) Pout (hot)
Pin (cold)
Pin (hot)
DUT
Noise added
by amplifier
Pin
Poutamplifier gain
Nois
e P
ow
er
In
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Cold Source Technique
Pout= kBGa(Tcold + Te)
Pout
kToBGa
Fsys =
Noise Receiver DUT
Calibration:
Noise Receiver
FDUT = Fsys – Frcv - 1
GDUT
Need to know available gain very accurately
(Ga is function of S11, S22 and Gs)
Unknown variable
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Phase Noise
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Phase Noise Overview
What is “Phase Noise”?
• A random, side band noise
• Caused by phase fluctuations of an oscillator
t
P(t)
In the time domain, PN shows as jitters
Phase noise P(f)
In freq. domain, PN appears as noise sidebands
Phase noise
f
Carrier
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Phase Noise Overview
How to define “Phase Noise”?
3 elements:
- Offset freq. from carrier freq.
- Power spectral density (in 1 Hz
BW)
- Relative to carrier power in dBc
f0 fm (offset freq.)
1 Hz BW
SSB
P0
dBc/Hz @ offset freq. fm
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Overview of PN Measurement Methods
Basic concepts for PN measurement
• A pure sine wave: V(t)=V0sin 2f0t
• Contaminated with noises (A(t): AM noise; (t): M noise)
V(t) = V0 [1+A(t)]sin[2(f0t+(t))]
1) Direct Spectrum Analysis 2) Demodulate + Baseband Analysis
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Direct Spectrum Measurement Method
• Easy to configure and use
• Quick phase noise check
• Log pot
• Spot frequency (PN change vs. time)
• rms PN, rms Jitter, residual FM
• X-Series phase noise application automates
the PN measurements
• Limited by SA internal PN floor
• Caution: Direct Spectrum method requires
AM << PM
DUT
Phase noise result in Log Plot
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Why is phase noise important for radar app?
Vehicle-mounted radar
• Highest performance radar transceiver
designs demand the best phase noise to
find moving targets, fast or slow
Better PN lower skirt
Better chance to find Doppler
reflection signals
V target Faster Slower
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Frequency
Power
Frequency
Power
OFDM sub-
carriers
Local oscillator
with phase noise
Phase noise
Frequency
Power
Down-converted
OFDM sub-carriers
with LO phase noise
added
Why is phase noise important for comms
app?
• Better PN of the LO improves sub-channel resolution
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Power Measurements
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Power Suite Measurements
[Meas] Standard spectrum analyzer measurements menu
NEW!
Page 18
Segnali digitali come processi statistici
Media tradizionale Power Average
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Misura della potenza di canale
• Molti analizzatori di spettro moderni consentono il calcolo
della potenza in un intervallo di frequenza (channel power)
• La misura e’ eseguita applicando la seguente formula:
Pch: Potenza di canale
Bs: Banda di calcolo
Bn: ENBW della RBW
applicata
N : numero di punti di misura
pi: potenza misurata nel punto
di misura i-esimo
La formula e’ espressa in termini lineari
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Channel Power
Integrates the power across the RF
channel
Emulates a power meter
No bandpass filter required when in a
multicarrier environment
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Occupied Bandwidth
Measures the occupied bandwidth of
a digital carrier
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Adjacent Channel Power (ACP) Measures leakage into adjacent channels
Distortion (TOI or SHD)
Phase Noise
Filter effectiveness
[Meas], {ACP}
Use Noise Corrections
[Meas Setup], {More 1 of 3}, {More 2 of 3}, {Noise Corrections On}
Use Noise Floor Extension
[Mode Setup], {Noise Reduction}. {NFE On}
See demo PXA ACP measurement.doc
Play PXA Power Suite-1-acp.wmv
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CCDF
Complementary Cumulative Distribution Function
Instantaneous Envelope Power
Compared to Gaussian noise
Peak to average ratio
Modulation Filtering dependent
Modulation format dependent
Data format dependent
Symbol sequence dependent
Helps designers specify components
From spectrum analyzer display
Meas hard key
CCDF soft key
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Burst Power
Transmit power delivered to the antenna at the base transceiver station
Time gated or time slot dependent power measurement
Basic pulse parameters
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Distortion Testing
Second order distortion
Uses one base tone
Measures at twice the base tone frequency
Third order distortion
Uses two base tones
Third order distortion measurement
Harmonic distortion
Uses one base tone
Measures distortion at integer multiples of the base tone
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Third Order Distortion
Uses two base tones at upper and lower locations (omega 1 and omega 2)
Measures intermodulation distortion at
the upper location (2 x omega 2 – omega 1)
and the lower location (2 x omega 1 – omega 2)
Third order distortion moves at three times the movement of the base tones level
Page 27
TOI calculation
The intercept point is where the level of the distortion equals the level of the base tones
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TOI measurement Use Auto Tune to obtain the first measurement
Use measure setup to optimize the measurement for speed or accuracy
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TOI measurement
Zero span
Play PXA Power Suite-3-toi.wmv
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Harmonics - Harmonic distortion measurement
Auto Sense fundamental and setup the measurement
Zero span sweep at the harmonic frequencies saves time
Page 31
Harmonics measurement optimization
Measure setup
Res BW
Dwell Time
Average
Harmonics
Range Table
Set Harmonic 1
Auto fill
Res BW
Dwell Time
Noise Floor Extension
Play PXA Power Suite-2-harmonics.wmv
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Scalar Measurements
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Why Source Control?
DUT
Controlled
Source
Receiver/
Controller
Signal analyzer (SA) alone SA + controlled source
stimulus
response
DUT
Transmitter Receiver
• Perform transmitter tests
• Characterize unknown signals
Carrier power
Power v. frequency
Sidebands
Harmonics
Phase noise
Spurs
Modulations
…
• Perform stimulus-response tests
• Characterize unknown DUT
behavior w/ known signals
Filter test (bandwidth, pass-band
flatness…)
Amp. test (Gain compression, harmonics..)
Freq-translating device (FTD) test (Freq
responses, conversion loss, harmonics…)
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Connecting the signal source w/ X-Series analyzer
X-Series Source
Trigger in
Trigger out
Trigger out
Trigger in
10 MHz out Ref in
VISA Interface
(GPIB/USB/LAN) (GPIB/USB/LAN)
VISA interface type
USB
GPIB
LAN
A pair of BNC cables for HW triggering*
Feq. Ref. lock-in** *: Can be eliminated if using “SW triggering”
**: Not required, but may improve the accuracy
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Frequency sweep, standard
Defaulted sweep mode
Best for filter tests
Frequency responses
BW and shape factor
Pass-band flatness
Filter
fSS= fSA
Opt ESC
Source
X-Series
Sweep: f1 f2
Sweep: f1 f2
Take advantages of powerful X-Series
mark functions for filter characterization
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Harmonic sweep
SS/SA Freq sweep ratio:
: Multiplier = (Num./Den.)
Useful for Amp/Mixer/Filter test Harmonic responses (0 < < 1)
Sub-harmonic behavior (> 1)
Amp
fSS= fSA
Opt ESC
Source
X-Series
Sweep: f1 f2
Sweep: f1 f2
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Offset sweep
fSS= fSA + foffset/SS • SS/SA sweep from different starts
• Best for mixer tests
Conversion loss
Conversion frequency accuracy
Source
Opt ESC
X-Series
Sweep: f1 f2
Sweep: (f1 - fLO f2 - fLO)
RF
LO
IF
(700 to 800 MHz)
(200 to 300 MHz)
(500 MHz)
For: fLO < fRF
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Reverse sweep
fSS= - fSA + foffset/SS • SS freq. sweeps: high low /SA always: low
high
• Best for mixer tests
Lower side-band characterization
Swept LO test
Source
Opt ESC
X-Series
Sweep: f1 f2
Sweep: (fRF – f1 fRF – f2)
RF
LO
IF
(800 to 700 MHz)
(200 to 300 MHz)
(1,000 MHz)
P
f LO
(fixed)
RF
(SS)
IF
(SA)
Reverse
sweep
Forward
sweep
For: fLO > fRF
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Power sweep
Amp Opt ESC
Source
X-Series
Power Sweep:
P1 P2
• SS RF output power sweeps
• Fixed or swept frequency
• Useful for Amp test Gain compression
Cut-off power level
Gain
Cut-off level
1-dB gain
compression
Initial power level
Power sweep range & On/Off
Count for system loss/gain
Set power resolution
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Normalization, Open/Short cal
Normalization
– To remove systemic errors
– Under “Trace” menu
Open/Short cal
– For 1-port return-loss meas.
– Graphic guide
– Under “Trace” menu
Reference line w/ a “thru” connection for measuring
system response w/o DUT
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dB
No reflection
(ZL = Zo)
r
RL
VSWR
0 1
Full reflection
(ZL = open, short)
0 dB
1
= Z L - Z O
Z L + O Z
Reflection
Coefficient =
V reflected
V incident
= r F G
= r G Return loss = -20 log(r),
Voltage Standing Wave Ratio
VSWR = Emax
Emin =
1 + r
1 - r
Emax
Emin
1. Reflection Parameters
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E4440AU-015 Accessory Kit
Item Description Specifications Qty 1 RF Bridge 300 kHz o 6 GHz, Type
N, 50
1
2 Power Divider DC to 18 GHz, Type N, 50
1
3 Coaxial
Terminator
DC to 18 GHz, Type N, 50
1
4 Coaxial Short DC to 18 GHz, Type N
(m), 50
1
5 Coaxial Cable 2 ft, Type N-N, 50 2
6 6 dB Coaxial
Attenuator
DC to 18 GHz, Type N
(m), 50
1
• Provides the accessories you will need for Open/Short Cal
and Return Loss measurements up to 6 GHz
March 30, 2012 Agilent Technologies
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