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Course: ENG 413, Fall 2009School: SUNY Buffalo
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Generation Signal and Conditioning Passive Components Complex Amplitude and phase Impedance Resistor Z = R Inductor Z = j L Short at DC Capacitor Z = 1/( j C) Short at high frequency Series: Z=Z1+Z2 Parallel:1/Z=1/ Z1 + 1/Z2 In Series Z=Z1+Z2 Voltage Divider R1 51ohm V1 1V 1000MHz 0Deg R2 51ohm Maximize Power Delivered to Load VL = VO Z L ZO + Z L VL2 PL = ZL Z L = ZO Impedance Matching LC...
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Generation Signal and Conditioning
Passive Components
Complex
Amplitude and phase
Impedance
Resistor Z = R Inductor Z = j L
Short at DC
Capacitor Z = 1/( j C)
Short at high frequency
Series: Z=Z1+Z2 Parallel:1/Z=1/ Z1 + 1/Z2
In Series
Z=Z1+Z2 Voltage Divider
R1 51ohm V1 1V 1000MHz 0Deg R2 51ohm
Maximize Power Delivered to Load
VL = VO Z L ZO + Z L VL2 PL = ZL Z L = ZO
Impedance Matching
LC Resonator
LC in parallel
1/Z=1/ Z1 + 1/Z2
R1 100kohm V1 1V 1000Hz 0Deg
Frequency Response
Resonance frequency
fR = 1 2 LC
L1 3.0mH
C1 1.0nF
Z at fR Effect of R Bandwidth Q
What about LC in series?
Making Inductors
Cylindrical inductor, N turns of wire; The ideal inductance is given by
( 0 N rc ) L= Henries d
2 2
when d is much greater than the diameter
http://hibp.ecse.rpi.edu/~connor/education/EIexp-proj-lect/exp03.ppt http://www.ee.surrey.ac.uk/Workshop/advice/coils/
Circuit Practice
At high frequencies no circuit elements are simple.
Capacitor has series stray inductance, parallel leakage resistance. The junction capacitances of transistors must be considered. A wire has stray inductance and capacitance causing unexpected feedback. Connecting wire is a transmission line.
Ground plane and isolation are extremely important. Use decoupling capacitors and negative feedback.
Amplifiers
Class A CE Amplifier
Tuned Inductor (choke) or transformer Configuration Gain vs ZC A(f) Linear
C3 V1 1.0uF 1.5V 100kHz 0Deg R1 10kohm R3 47kohm L1 3.0mH Q1 2N3904 C1 1.0nF C2 1.0uF R2 100kohm R4 1.0kohm
Amplifiers
Other Configurations
Common base amplifier (http://www.eee.bham.ac.uk/collinst/walkthroughs/cb-amp/) Class B amplifier Class C amplifier
No base bias
No dc current
High efficiency Nonlinear
Harmonic frequency amplification
L1 3.0mH C3 1.0uF V1 1.5V 91kHz 0Deg C1 1.0nF C2 2N3904 Q1 R1 1.0kohm
1.0nF R2 100kohm
Class C Amplifier
Bode Plot Waveform
fR
Class C Amplifier
Waveform
fR/2
http://hem.passagen.se/communication/clc.html
Feedback Control
Neutralization: cancel unwanted feedback
Power Amplifier - Efficiency
DC Power Signal Power Efficiency Amplifiers
Class A resistor Class A inductor Class B Class C Class D, ...
<25% <50% <78.5% <100%
http://ocw.mit.edu/NR/rdonlyres/Electrical-Engineering-and-Computer-Science/6-776Spring-2
Amplifier Design
Impedance Matching Gain and Frequency Dependence
Bandwidth Uniformity
Distortion
Crosstalk
Noise
Device Circuit
Low Noise Amplifier Designs
http://ocw.mit.edu/NR/rdonlyres/Electrical-Engineering-and-Computer-Science/6http://www-smirc.stanford.edu/papers/aacd98p-tom.pdf
RF Amplifiers
RF Connectors Power Control Surface Mount Transmission Line Shield
Oscillator
Positive Feedback With Gain
Amplifier
Operational amplifier Bipolar junction transistor amplifier FET GaAs HEMT
In phase feedback
0-degree for op amp with non-inverting input 180-degree for CE BJT
RC Feedback
Feedback Loop
Bode Plot
Amplitude Phase
Circuit Diagram
Wien Bridge Oscillator
Characteristics 1
2RC A3 fR =
Sine wave Low Q
http://webapps.calvin.edu/~pribeiro/courses/engr332/Handouts/Wein%20Bridge%
LC Feedback
Feedback Loop
Capacitor divider Inductor tap
L1-C2 Divider Resonator Characteristics
Capacitors in series resonate with inductor
fR = 1
180-degree phase change at resonance Feedback factor Q
2 LC
LC Oscillators
Hartley Oscillator
(http://www.geocities.com/neveyaakov/electro_science/hartley.html)
Oscillator
Colpitts Reference (http://www.du.edu/~etuttle/electron/elect16.htm)
Colpitts Oscillators
Common Source Common Base
ftp://ftp.ni.com/pub/devzone/tut/3_lab_fm_colpitts.doc
R&D Topics on Oscillators
Phase Noise
http://ieeexplore.ieee.org/iel5/4/17940/00826814.pdf?tp=& arnumber=826814&isnumber=17940
GHz Voltage Controlled Oscillator IC Chaos
Tunability
Varactor
Voltage dependent capacitance
Tunable Oscillators
Clapp Oscillator Using Varactor
VCO
XR-2207 LM556
Function Generators
XR-2206: Monolithic function generator
Crystal Oscillator
http://www.npc.co.jp/ja/general/icmt2002_npc.pdf
Crystal Oscillator
High Q Piezoelectric Effect Crystal Cuts Working Range
50kHz-40MHz
Temperature Coefficient
10 Hz/MHz/C
f = k f0 T (C)
http://www.txc.com.tw/en/d_support/01.html
Analysis
Equivalent Circuit Equation s = j
Zero R
Z = 1 sC p + 1 sL +1 / sCs 1 2 -2 s Z = -j ( 2 ) 2 C p - p
s =
Serial
Z=0
1 LCs 1 CsC p L( ) Cs +C p
p=
Parallel
Z=h
Non Zero R?
Crystal Oscillator
Typical Values
Resonance
Characteristics
Large, low loss inductor Cp (pF) >> Cs (fF) High Q circuit fs very close to fp
Operating Frequency
fs < f < fp
Crystal Circuits
Oscillator Circuits
Logic Gate
L, Cs Cp C1, C2
CB
L, Cs fs
http://www.northcountryradio.com/PDFs/column007.pdf
http://www.caliberelectronics.com/oscillator-design.htm
Crystal Filter
http://www.aade.com/filter32/dishal.htm
Mixers
Combinations of Input Frequencies Nonlinear Devices
Diode, Transistor, FET
Intrinsic Response New Frequencies
1 2
2 1 ,2 2 2 1 2, 1 2 2 3 1 ,3 2
vi = sin 1t + sin 2t vo = Avi + Bvi2 + Cvi3 + ...
Effects of Nonlinearity
New frequency generation In band interference
Balanced Mixer
Characteristics Input vo = Avi1vi 2
vi1 = sin 1t vi 2 = sin 2t
Output Frequencies
1 2
Gilbert Cell
Differential Amplifier Implementation
(http://members.tripod.com/michaelgellis/gilbert.html)
MOS Implementation
(http://eesof.tm.agilent.com/adsdemo/seminar4/abstrac...
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