III. Gm-C Filtering - Epublications - Université de Limoges

More documents

Recommendations

Info

Now And so IIP3 4 a IIP3 = (D.43) 3 c ( U + R I ) 3 = 2 T L (D.44) U T D.3.b Enhancement by Means of a Feedback Loop Let’s consider the emitter follower illustrated in Figure 208, which is constituted of a feedback loop by means of transistor T1. Vin I I+ie I+ ie T0 T1 Vout ( +1)ie ie - 218 - Cdc Figure 208. Emitter Follower with Feedback Loop Schematic Assuming that collector and emitter currents are equal, the current flowing through the load RL can be approximated to ie. Hence: ( +1) v i = out β e (D.45) RL It is also assumed that biasing current flows mainly through T0 and T1. Then, considering a biasing current I, the output can be computed by: ⎛ I + ie ⎞ Vout + vout = Vin + vin −U T ln ⎜ ⎟ (D.46) ⎝ I s ⎠ RL
Computing, this leads to: V out + v out = V in + v in −U T ⎛ ⎜ I + ln ⎜ ⎜ ⎜ ⎝ - 219 - ( β + 1) I v s out R L ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ (D.47) The method used to find the IIP3 of the emitter-follower leads to the linearity with the feedback loop with almost the same computations: IIP3 = 2 ( U + ( β + 1) R I ) T U T L 3 (D.48) Comparing equation (D.44) and (D.48), it has been demonstrated that IIP3 is enhanced by the current gain β of transistor T1.
Page 1:
UNIVERSITE DE LIMOGES ECOLE DOCTORA
Page 5 and 6:
Acknowledgments En préambule à ce
Page 7 and 8:
Summary ACKNOWLEDGMENTS ...........
Page 9 and 10:
V. A PERSPECTIVE FOR FUTURE DEVELOP
Page 11 and 12:
French Introduction Les signaux TV
Page 13 and 14:
I. Introduction to TV tuners and to
Page 15 and 16:
I.1.b.ii Digital modulations In dig
Page 17 and 18:
makes the covering of a large terri
Page 19 and 20:
I.1.c.iii Terrestrial spectrum Firs
Page 21 and 22:
I.1.e Broadband Reception Systems F
Page 23 and 24:
I.2.b TV Tuner High Performance Spe
Page 25 and 26:
I.2.b.ii High linearity Although co
Page 27 and 28:
I.3 RF Filter Specifications I.3.a
Page 29 and 30:
27. This leads to the downconversio
Page 31 and 32:
These adjacent channel rejection re
Page 33 and 34:
Above 870MHz, there are no more ter
Page 35 and 36:
Newest silicon tuners generations,
Page 37 and 38:
I.6 References [I.1] B. Razavi, RF
Page 39 and 40:
II. Challenges of RF Selectivity Fo
Page 41 and 42:
Figure 39. H3 and N+5 rejections of
Page 43 and 44:
Figure 43. Second order Low-pass Fi
Page 45 and 46:
Figure 46 illustrates the transfer
Page 47 and 48:
H HPF s ( s) = s 1 + ω This corres
Page 49 and 50:
Topologies comparison for a same Q-
Page 51 and 52:
Figure 56. Low-pass to Notch Transf
Page 53 and 54:
II.2 Passive LC Second Order Bandpa
Page 55 and 56:
A possible solution is to split the
Page 57 and 58:
II.2.c Second Order Bandpass Filter
Page 59 and 60:
Figure 69. Band Switching Figure 70
Page 61 and 62:
Another paper [II.7] provides a FOM
Page 63 and 64:
A parallel self resonating circuit
Page 65 and 66:
This gives the following values for
Page 67 and 68:
Vb - 63 - M1 M2 Zin Figure 76. Anot
Page 69 and 70:
when given, reported noise figures
Page 71 and 72:
In all publications dedicated to Gm
Page 73 and 74:
II.4.c Second Order Bandpass Filter
Page 75 and 76:
Figure 87. Biquad Schematic The Gm-
Page 77 and 78:
Vin Rm - 73 - C Vout Figure 89. Der
Page 79 and 80:
Figure 93 depicts the RF performanc
Page 81 and 82:
A second advantage of advanced BiCM
Page 83 and 84:
II.7 Conclusion As a conclusion, th
Page 85 and 86:
[II.13] C. Andriesei, L. Goras, and
Page 87 and 88:
III.I Theoretical Study III. Gm-C F
Page 89 and 90:
g V m3 in III.1.b Linearity Conside
Page 91 and 92:
Assuming an ideal input transconduc
Page 93 and 94:
Figure 102. Linearity of the filter
Page 95 and 96:
Furthermore, a Gm-C circuit is not
Page 97 and 98:
In terms of noise, the Flicker nois
Page 99 and 100:
Table 7 summarizes the specificatio
Page 101 and 102:
Idiff (A) levels reached with this
Page 103 and 104:
III.2.e Unbalanced Differential Pai
Page 105 and 106:
Hence, the combination of the expon
Page 107 and 108:
Technique Current Increase Source D
Page 109 and 110:
Using this structure and considerin
Page 111 and 112:
The dimensioning of the transistors
Page 113 and 114:
III.3.c Gm-cells with MGTR III.3.c.
Page 115 and 116:
Furthermore, the high sensitivity t
Page 117 and 118:
Figure 136. Filter in-band IIP3 ver
Page 119 and 120:
III.4 Comparison of the filters III
Page 121 and 122:
III.5 Conclusion Once the Gm-C seco
Page 123 and 124:
IV. Rauch Filtering IV.1 Sallen-Key
Page 125 and 126:
Thus, an equation linking Q and Gai
Page 127 and 128:
IV.1.c.ii Proposed positive feedbac
Page 129 and 130:
For both Rauch and Sallen-Key filte
Page 131 and 132:
The high sensitivity to passive com
Page 133 and 134:
Furthermore, it should also be take
Page 135 and 136:
IV.2.b Innovative Implementation of
Page 137 and 138:
esulting gain K, constituted of the
Page 139 and 140:
Table 25. Sum-up of the OA specific
Page 141 and 142:
Figure 153. OA voltage gain versus
Page 143 and 144:
Filtering in the mirror, by means o
Page 145 and 146:
However, this feedback makes the fi
Page 147 and 148:
Figure 160. OA Gain and phase versu
Page 149 and 150:
IV.3.c Implemented Filter and Test
Page 151 and 152:
Figure 165 depicts the layout of th
Page 153 and 154:
Figure 169. PVT variations of the f
Page 155 and 156:
IV.4 Rauch Filter Performances: Mea
Page 157 and 158:
Figure 178. IIP3 versus input power
Page 159 and 160:
IV.4.c Performances Sum-up The filt
Page 161 and 162:
Table 30. Frequency Limitations of
Page 163 and 164:
IV.7 References [IV.1] Y. Tsividis
Page 165 and 166:
V. A Perspective for Future Develop
Page 167 and 168:
V.2 4-path Filter Simulations V.2.a
Page 169 and 170:
The frequency tunability is ensured
Page 171 and 172: V.3 State-of-the-Art V.3.a 4-path F
Page 173 and 174: V.4 Conclusion In this chapter, it
Page 175 and 176: IEEE International, 2009, pp. 222-2
Page 177 and 178: RF selectivity challenges In this t
Page 179 and 180: The positive feedback Rauch filter
Page 181 and 182: It is worth highlighting that FOM1
Page 183 and 184: étudiée. Il s’avère que la lin
Page 185 and 186: It is worth noticing that S0 only d
Page 187 and 188: A.3 Signal-to-Noise Ratio These dif
Page 189 and 190: A.5 Friis’ Formula In case of mul
Page 191 and 192: A.7 References [A.1] Friis, H.T., N
Page 193 and 194: To estimate the influence of the di
Page 195 and 196: Now, let’s have a look to the cub
Page 197 and 198: Figure 200. Third order intercept p
Page 199 and 200: B.2 RF Filter Linearity Measurement
Page 201 and 202: B.2.c IIP2 measurement To measure t
Page 203 and 204: - 199 -
Page 205 and 206: C.1 Gyrator-C filtering year Ref. f
Page 207 and 208: C.2 Gm-C Filtering year Ref. f0 (MH
Page 209 and 210: year C.3 Rm-C filtering Ref. f0 (MH
Page 211 and 212: C.5 References C.5.a Gyrator-C filt
Page 213 and 214: [C.23] J. De Lima and C. Dualibe,
Page 215 and 216: - 211 -
Page 217 and 218: this gives: I I I md d1 d 2 = I I =
Page 219 and 220: D.2 MOS Degenerated Common-Source C
Page 221: ⎛ I s ⎞ Vout = Vin + U T ln ⎜
Page 225 and 226: - 221 -
Page 227 and 228: - 223 -
Page 229 and 230: FIGURE 54. H3 AND N+5 REJECTIONS AC
Page 231 and 232: FIGURE 168. PVT VARIATIONS OF THE F
Page 233 and 234: - 229 -
show all

III. Gm-C Filtering - Epublications - Université de Limoges

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?