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Digital.Synthesizers.and.Transmitters.for.Software.Radio.Springer.Jul.2005.eBook-DDU
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PREFACE...................................................................................XVII
c'i5,\ #X
LIST OF ABBREVIATIONS...................................................XXIII
UqI #F
1.TRANSMITTERS................................................................1
4HGTgS
1.1Direct Conversion Transmitters............................................................1
04-_ K
1.2Dual-Conversion Transmitter................................................................3
4W"A*A
1.3 Transmitters Based on VCO Modulation.............................................3
-*' ?D@l
1.4Offset-PLL Architecture.........................................................................6
&N^~=y^`C'
1.5Envelope Elimination and Restoration (EER)......................................6
UE'=9{o`
1.6Polar-Loop Transmitter.........................................................................9
IFTNr2I
1.7Linear Amplification with Nonlinear Components (LINC)..............10
U0_)J1Yp
1.8Combined Analogue Locked LoopUniversal Modulator (CALLUM)
9>&zOITTaL
14
bI &<L O
1.9Linear Amplification Employing Sampling Techniques (LIST).......15
Nu6NyYs
1.10Transmitters Based on Bandpass Delta Sigma Modulator...........17
KkZx6A)$u
REFERENCES.............................................................................19
M YF ^zheD
2. POWER AMPLIFIER LINEARIZATION.....................25
!b+4[xky
2.1Feedforward...........................................................................................25
Zu.hcDw1
2.2Cartesian Modulation Feedback..........................................................29
h p|v?3(
2.3Predistortion..........................................................................................31
zG#5lzIu,
2.3.1 Analog Predistortion..............................................................................33
F,Q;sq
2.3.2 Mapping Predistortion...........................................................................35
ByY2KJ7
2.3.3 Complex Gain Predistortion..................................................................36
RqTO3Kf
2.3.4 Polar Predistortion.................................................................................38
oh8:1E,I
2.3.5 RF-Predistortion Based on Vector Modulation.....................................39
@e)}#kN.
2.3.6 Data Predistorters..................................................................................41
fB3Jp~$
REFERENCES.............................................................................41
pq{`WgA^
3.DIGITAL COMPENSATION METHODS FOR
@!P2f
ANALOG I/Q MODULATOR ERRORS.......................................49
!:|*!
3.1Quadrature Modulator ErrorsCompensation...................................52
?gMx
3.1.1 Symmetric Compensation Memm thod........................................................53
`f>!/Zm%9
3.1.2 Partial Correction of Mixer Nonlinearity in Quadrature Modulators....55
Q-w# !<L.
3.1.3 Asymmetr
tLy:F*1i
ic Compensation Method......................................................56
^xa, r#N:V
igital Precompensation Method without Training Signal...................57
PT2;%=f
3.1.4 D
aj`&ca8
REFERENCES.............................................................................58
fs ufYIf
4. DIRECT DIGITAL SYNTHESIZERS............................61
8:{id>Mm^
4.1Conventional Direct Digital Synthesizer.............................................61
77@N79lqO
put DDS.................................................................................63
!"F;wg$
4.2Pulse Out
F"]P|
4.3DDS Architecture for Modulation Capability....................................65
.nD#:86M
QAM Modulator....................................................................................65
G]>yk_#/\U
4.4
<IZt]P
REFERENCES.............................................................................69
|Mq+QDTTw~
5.RECURSIVE OSCILLATORS.........................................73
3^UdB9j;
5.1 Direct-Form Oscillator.........................................................................73
i=EOk}R
5.2 Coupled-Form Complex Oscillator.....................................................76
r!Aj5
REFERENCES.............................................................................79
Bu(51wU8
6.
I_<VGU k
CORDIC ALGORITHM...................................................81
,s~l; Gkj
6.1 Scaling of III andQ ...............................................................................84
]lC%HlID
n n
Dx-P]j)4x
6.2 Quantization Errors in CORDIC Algorithm......................................85
w~*@TG
6.2.1 Approximation Error.............................................................................85
m;dwt1'Zw
6.2.2 Rounding Error of Inverse Tangents.....................................................86
N_c44[z1
6.2.3 Rounding Error of III
UTkPA2x
andQ ..................................................................87
EH|+S
n n
AT"gRCU$4
6.3Redundant Implementations of CORDIC Rotator............................87
'|IcL1c=I
6.4Hybrid CORDIC...................................................................................88
({!!b"B2
6.4.1 Mixed-Hybrid CORDIC Algorithm......................................................89
V.*TOU{{xh
6.4.2 Partitioned-Hybrid CORDIC Algorithm...............................................90
2l)"I
REFERENCES.............................................................................92
Ks%0!X?3q
SOURCES OF NOISE AND SPURS IN DDS.................97
!rUP&DA
7.
3IMvtg
7.1Phase Truncation Related Spurious Effects........................................97
>1sa*Wf
7.2Finite Precision of Sine Samples Stored in LUT...............................103
3NpB1lgh&:
7.3Distribution of Spurs...........................................................................105
{U=J>#@G
7.4Phase Noise of DDS Output................................................................108
4`,(*igEv
7.5 Post-Filter Errors................................................................................110
aO&U=!
REFERENCES...........................................................................110
63W;N7@
8. SPUR REDUCTION TECHNIQUES IN SINE OUTPUT
<T_3s\
DIRE
V9oBSP'kt
CT DIGITAL SYNTHESIZER...........................................113
;MS.ag#
8.1 Nicholas Modified Accumulator........................................................114
MLWHO$C~T
8.2 Non-Subtractive Dither.......................................................................116
^#:;6^Su
8.2.1 Non-Subtractive Phase Dither.............................................................116
4EqThvI{
8.2.2 First-Order Analysis............................................................................117
OMLU ;,4
8.2.3 Non-Subtractive Amplitude Dither.....................................................121
KYpS4&Xh
8.3 Subtractive Dither...............................................................................122
*9j'@2!M
ase Dither..........................................................123
)=~&l={T
8.3.1 High-Pass Filtered Ph
-%`~3*L
8.3.2 High-Pass Filtered Amplitude Dither..................................................123
XZ%,h
8.4Tunable Error Feedback in DDS.......................................................124
9[.HWe,
8.4.1 Phase EF..............................................................................................125
L"bJ#0m
8.4.1.1Phase EF for Cosine DDS........................................................126
/w?e(v<
8.4.1.2P
w<9rTHG8,
hase EF for Quadrature DDS.................................................128
Ooz,?wU6
plitude EF......................................................................................129
cZh0\DyU
8.4.2 Am
q|D5 A|)
8.4.2.1Amp
9z#8K zXg
litude EF for Cosine DDS................................................131
8o5[tl ?w
litude EF for Quadrature DDS.........................................132
+Ryj82;59z
8.4.2.2Amp
.t@|2
8.5Implementations..................................................................................134
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8.6 Measurement Results..........................................................................134
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8.7Conclusions..........................................................................................135
]pR?/3
REFERENCES...........................................................................135
cLZ D\1Mt
9.BLOCKS OF DIRECT DIGITAL SYNTHESIZERS..139
;JkSZs3
9.1Phase Accumulator.............................................................................139
=?OU^u`C
9.2Phase to Amplitude Converter...........................................................143
]M5~p^ RB
9.2.1 Non-Linear D/A Converter..................................................................145
c<$<n
9.2.2 Exp
^@^8iZ
loitation of Sine Function Symmetry............................................145
Ms!EK
9.2.3 Com
$@z77td3
pression of Quarter-Wave Sine Function.....................................147
TWRP|i!i
9.2.3.1Difference Algorithm...............................................................147
r{R-X3s
9.2.3.2Splitting into Coarse and Fine LUTs........................................149
sq'm)g
9.2.3.3Angle Decomposition...............................................................150
1 (<n^\J(
9.2.3.4Modified Sunderland Architecture...........................................152
ZexC3LD"
9.2.3.5Nicholas Architecture...............................................................153
B"GC|}N)v
9.2.3.6Polynomial Approximations....................................................155
ukR0E4p
9.2.3.6.1Piecewise Linear Interpolation..........................................156
+KTfGwKt
9.2.3.6.2High Order Piecewise Interpolation..................................158
R:~aX,qR
9.2.3.6.3Taylor Series Approximation............................................160
z0}j7ns]
9.2.3.6.4C
O)dnr8*
hebyshev Approximation...............................................161
6(8F4[D
9.2.3.6.5Legendre Approximation..................................................163
/z-rBfdy^
9.2.3.7Using CORDIC Algorithm as a Sine Wave Generator............164
8oX1 F(R
9.2.4 Simulation...........................................................................................167
&BPYlfB1
9.2.5 Summary of Memory Compression and Algorithmic Techniques......167
D]@(LbMG4
9.3Filter.....................................................................................................168
_EMI%P&s
REFERENCES...........................................................................169
<&E}db
10. CURRENT STEERING D/A CONVERTERS..............177
]Fy'M
10.1D/A Converter Specifications.........................................................177
roS" q~GS,
10.2 Static Non-Linearities.....................................................................178
!eyLh&]5
10.2.1 Random Errors..................................................................................179rr
FSEf0@O:
10.2.2 Systematic Errors..............................................................................181
ahl|N`
10.2.3 Calibration.........................................................................................183
J>_mDcPo
put Impedance...............................................................183
`yfZ{<
10.3Finite Out
O\=Z;}<N
10.4Other
/!H24[tnk1
Systematic Errors... ..
1bV G%N
qf0pi&q
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