AN1228 Kumen Blake Microchip Technology Inc. (SNR) (VFB) (CF

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AN1228 Kumen Blake Microchip Technology Inc. (SNR) (VFB) (CF

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AN1228
Kumen Blake Microchip Technology Inc.
(SNR) (VFB) (CFB)
(SNR)
(PSD) WV2/A2
var()
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
(W/Hz)
(W/Hz) Power PSD(fk)
W/Hz)
(RLC V2/R I2R)
(Hz)
(Hz) (rad/s)
(En)
(en) (V/Hz) (in) (A/Hz) (VRMS/ (ARMS/Hz)
en(f) (V/Hz)
(VRMS) (VRMS)
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
(In)
Crest Factor PG(|x| Peak-to-Peak Peak (VPK/VRMS) (VP-P/VRMS)
1.64 2.58 3.29 4.50 6.00
0.1% 6.80 10-6 1.97 10-9
1.64 2.58 3.29 4.50 6.00
3.29 5.15 6.58 9.00 12.00
in(f) (A/Hz) (ARMS) (ARMS)
(RMS)
1.E+00 1.E-01 1.E-02
VP-P/VRMS
pG(x;
1.E-03 1.E-04
1.E-05 10-5
1.E-06
1.E-07 10-7
1.E-08 1.E-09
[345] )PSD
nout
enout (V/Hz) VOUT (V/Hz)
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
(1/s) (rad/s) (rad/s) (Hz) (Hz)
nout
(HM)
|H(j2f)| (V/V)
nout
(Hz) (Hz) (V/V)
(Hz)
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
(ID)
nout
1.602 10-19
enout (V/Hz) (V/Hz)
(NPBW) NPBW
1.602
NPBW
nout NPBW
17.9 pA/Hz
NPBW -fL,(
NPBW
CMOS
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
(273.15
VOUT
1.381 10-23 (J/K)
4kTA kTA/2
(VOUT) (VFB) fA/Hz 10-15
25°C 298.15 1.381
298.15
4.06 nV/Hz 1.381
298.15
4.06 pA/Hz
(eni) (ibn ibi)
(CFB) (IBN IBI) (ibn ibi) CMOS MCP6241
MCP6241 (CMOS
(°C) (pA) 1100 (fA/Hz) 0.57
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
MCP616 (PNP)
MCP616
(°C) (nA) (fA/Hz)
(HM) (fH) (eni) nV/Hz
Brick Wall Low-pass Filter
(eni) (ini) (TA)
VOUT
SPICE
(eni) (enout) nout (HM)
Noise Voltage Density (nV/Hz) enout
(Hz)
(Enout) (RMSP-P)
nout
nout
µVRMS µVPK= µVP-P
VPK/VRMS VPP/VRMS)
2009 Microchip Technology Inc.
DS01228A_JP
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nout
fSAM kSPS
Enout(t) (µV)
(fP)
(ms)
Percentage Occurrences Enout (µV)
Enout Gaussian 1024 Samples
Real Pole Low-pass Filter
VOUT
H(j2f) (dB) 0.01
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
(eni)
(fP1 fP2)
nout
nout
atan
(NPBW)
Real Pole Low-pass Filter
VOUT
NPBW
NPBW (BW)
(Hz) (Hz)
0.35
(Hz)
H(j2f) (dB) 0.01
fP2/fP1
Gain
nV/Hz NPBW 15.8 nout 15.8 12.6 µVRMS 41.4 µVPK 82.9 µVP-P
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
NPBW
NPBW
11NPBW
15.5 9.98 NPBW 12.2 nout 12.2 11.0 µVRMS 36.4 µVPK 72.9 µVP-P
NPBW
(fP) (fH) NPBW
13.4 26.8 Gain nV/Hz 9.98 NPBW 14.0 nout 14.0 11.8 µVRMS 39.0 µVPK 78.1 µVP-P
Real Pole High-pass Filter
VOUT
(Hz) NPBW (Hz)
15.5
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
H(j2f) (dB) 0.01
fP2)
Real Pole Band-pass Filter
VOUT
NPBW
NPBW
NPBW
(Hz) (Hz)
amp's NPBW Gain NV/HZ
H(j2f) (dB)
(fP2 fP1)
0.01
100m 1000 10000 fP2/fP1
NPBW 1.57 NPBW 1.57 15.8 1.55 nout 1.55 µVRMS µVPK µVP-P
NPBW
NPBW
NPBW
NPBW
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
NPBW NPBW
Gain nV/Hz NPBW 15.7 1.01 15.5 nout 15.5 12.5 µVRMS 41.2 µVPK 82.3 µVP-P
NPBW
NPBW
NPBW
NPBW
1.571 1.571 1.571 1.220 1.153 1.111 1.155 1.071 1.047 1.128 1.046 1.026 1.114 1.038 1.017
Low-pass Filter Type
Identical Real Poles Bessel Butterworth
NPBW
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
(fP)
enr1 VOUT
eno12, enok2 Integrate Noise Densities (over frequency) Eno12, Enok2 Squares Squares each frequency) eno2 Integrate Noise Density (over frequency) Eno2
(Hz) (2R1C1)
(R-C
NPBW NPBW
NPBW
NPBW
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
VOUT VOUT
enr1 enr3 VOUT
noU1 NPBW noR1 NPBW nout EnoU1 EnoR1 Enout (VRMS) (VRMS) (VRMS) noU1 noRC
EnoR1 (sqrt(kTA/C1)) kT/C (R-C
inr2
(enout) enout Enout VOUT
25°C 298.15 Gain nV/Hz 10.6 NPBW 10.6 16.7 noU1 16.7
(V/V)
12.9 µVRMS
12.8 noRC 12.8 16.7 1.66 µVRMS nout 13.0 µVRMS 43.0 µVPK 85.9 µVP-P
(GN) VOUT
DS01228A_JP
2009 Microchip Technology Inc.
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nout
25°C 298.15 nV/Hz pA/Hz GBWP 2.00 (R2||R3)
Enout R3/R2
nout
(R2||R3))
NPBW NPBW (GBWP)
57.4 nout nout GBWP
NPBW 78.6 nout 78.6 µVRMS µVPK µVP-P
NPBW
GBWP NPBW GBWP NPBW
SPICE
(Hz) (Hz) (Hz)
GBWP
MCP616
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
4.7n 38.3k 64.9k MCP616 2.2n 102k VOUT
8.35k 5.6n 28.7k 20.0k MCP616 15.8k VOUT
-100 -110 -120 1.E+2
|VOUT/VIN| (dB)
1.E+3
(Hz)
1.E+4
100k 1.E+5
NPBW SPICE
-100 -110 -120 1.E+2
enr1 enr2enr3 R1R2R3 eniibnibi total
1000 total enr3
(nV/
enr1 1.E+2 1.E+3 1.E+4 (Hz) enr2 100k 1.E+5 1.E+6
1.E+1
|VOUT/VIN| (dB)
1.E+3
(Hz)
1.E+4
100k 1.E+5
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
enr1enr2enr3enr4 R1R2R3R4 eniibnibi total
1000 total enr3 enr2 enr4
enr1
(1/f
(nV/
1.E+1
1.E+2
1.E+3 1.E+4 (Hz)
100k 1.E+5
1.E+6
NPBW
VRMS2/Hz)
(µVP-P) Order Order
Noise Source
enf(f) (nV/Hz)
Thermal
10.6 154.4 120.6 26.9 198.1
13.4 17.8
Total
(enf) dB/decade)
PSpice
inf(f) (nV/Hz) PSpice AF); 10-15) PSpice
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
fcorner
Noise Voltage Density (nV/Hz), scale Noise White Noise (Hz), scale
(3.55
Percentage Occurrences Noise (µV)
3000 Samples
Gaussian
fcorner
(enf Hz))
2048
100µ 1.E+05
fSAM
corner fcorner
(nV/Hz) (Hz)
SPS)
fSAM
Noise (V/Hz)
1.E+04
1.E+03
100n 1.E+02 100µ 1.E-04
1.E-03
1.E-02 (Hz)
100m 1.E-01
1.E+00
2048
(min)
Noise (µV)
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
(eni) kHz) (ini) kHz) MCP616/7/8/9 CMOS
10,000 Input Noise Voltage Density (nV/ 10,000 Input Noise Current Density (fA/
fH/fL 1.259
Decades 0.10 9.50 (µVP-P) 11.6 16.4 20.1 23.2 26.0 28.5 30.7 32.9 34.9 35.8 1/fL 0.13 1.00 1000 2.78 27.8 11.6 3.17 year 10.0 year
1,000
1,000
3.16
enf(1 1160 nV/Hz
1.E- 1.E+0 1.E+0 1.E+0 1.E+0 1.E+0 Frequency (Hz)
fH/fL fcorner
MCP616/7/8/9
MCP616/7/8/9 (PNP) CMOS
270n 8.35k 28.7k 100n 20.0k MCP616 15.8k VOUT
Noise
MCP616/7/8/9
Units µVP-P Conditions
Parameters Input Noise Voltage Input Noise Voltage Density Input Noise Current Density
nV/Hz fA/Hz
(Eni) (µVP-P)
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
NPBW
-100 1.E+1
Noise Source Thermal Total (µVP-P) 0.78 1.72 2.89 1.32 5.31 0.36 0.45 6.49
|VOUT/VIN| (dB)
1.E+2
(Hz)
1.E+3
1.E+4
enr1 enr2enr3enr4 R1R2R3R4 eniibnibi total
1000
total enr3 enr2 enr4
(nV/
enr1
1.E-1
1.E+0
1.E+1 1.E+2 (Hz)
1.E+3
1.E+4
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
(VRMS) (Enout1) (Enout2) (Enout) Enout2/Enout1 Enout1 Enout2 Enout/Enout1 Enout2 Enout Enout1 Enout2/Enout1 Enout2
(SNR)
(SNR)
nout VOUT (VRMS) Enout (VRMS) (SNR)(dB)
Enout2/Enout1 1/10 Enout/Enout1 1.414 1.118 1.054 1.020 1.010 1.005
VOUT (VPK VP-P)
NPBW (ADC)
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
(eni ini) (eni ini) (µVP-P)
AN1177 (DS01177) Kumen Blake Microchip Technology Inc.2008
Analysis Design Analog Integrated Circuits Paul Gray Robert MeyerJohn Wiley Sons1984 Principles Digital Analog Communications Jerry Gibson Macmillan1989 Communication Systems:An Introduction Signals Noise Electrical Communication Bruce CarlsonMcGraw-Hill 1986 Probability, Random Variables, Stochastic Processes Athanasios Papoulis McGraw-Hill1991
High-Speed Digital Design:A Handbook Howard JohnsonMartin Graham
DS01228A_JP
2009 Microchip Technology Inc.
AN1228
(En) (VRMSVPKVP-P) VRMS (In) (ARMSAPKAP-P) ARMS
(PSD) (W/Hz) (dBm/Hz (en) (V/Hz) (in) (A/Hz)
(AWGN) (Identical Independently Distributed)
A-1:
(NPBW) (Hz) 1/f2 (Random Telegraph Signal)
(ADC) (DAC)
A-2:
otherwise
(SNR) (dB) (VRMS/VRMS) (ARMS/ARMS) (VPK VP-P) (NF) (dB) (V/V) (TN)
(dBm
2009 Microchip Technology Inc.
DS01228A_JP
AN1228
PSpice (En0f (VRMS/Hz) (Enout) En0f ELEH
SPICE SPICE SPICE PSpice® (Cadence®
B-1:
nout
B.1.1
PSpice SPICE SPICE SPICE (VRMS/Hz) (VRMS2/Hz) (+25°C VRMS/ VRMS2/Hz PSpice (VRMS/
Probe Ctrl-C Windows
B.1.3
SPICE NPBW
NPBW (enout) (Enout) enout NPBW
B-2:
NPBW
NPBW nout nout
NPBW)
B.1.2
PSPICE
PSpice Probe
Mathematica® (Wolfram Research Maple(Waterloo Maple Software Matlab® (The MathWorks Symbolic Math Toolbox MathCad® (Parametric Technology Corporation
B-1:
PSPICE
sqrt(s(v(onoise)*v(onoise)))
DS01228A_JP
2009 Microchip Technology Inc.
Microchip Microchip Accuron dsPICKEELOQKEELOQ MPLABPIC Microchip Technology Incorporated FilterLab HampshireLinear Active ThermistorMXDEV MXLABSEEVALSmartSensorThe Embedded Control Solutions Company Microchip Technology Incorporated Analog-for-the-Digital AgeApplication Maestro dsSPEAKECANECONOMONITORFanSense In-Circuit Serial ProgrammingICSPICEPICMindi MiWiMPASMMPLAB Certified MPLIB MPLINKmTouchnanoWatt XLPPICkitPICDEM PICDEM.netPICtailPIC32 logoPowerCalPowerInfo PowerMatePowerToolReal ICErfLABSelect Mode Total Endurance TSHARCWiperLockZENA Microchip Technology Incorporated SQTP Microchip Technology Incorporated 2009, Microchip Technology Incorporated, Printed U.S.A., Rights Reserved.
Chandler Tempe Gresham ISO/TS-16949:2002 PIC® dsPIC® DSCKEELOQ® EEPROM 9001:2000
2009 Microchip Technology Inc.
DS01228A_JP
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03/26/09
DS01228A_JP
2009 Microchip Technology Inc.

AN1228 Kumen Blake Microchip Technology Inc. (SNR) (VFB) (CF

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