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Razavi Analog CMOS Solution
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CmosRazavi 22/9/06CORRECTIONS TO SOLUTIONS MANUAL
In the new edition, some chapter problems have been reordered and equations and figure refer-ences have changed. The solutions manual is based on the preview edition and therefore must becorrected to apply to the new edition. Below is a list reflecting those changes.
The NEW column contains the problem numbers in the new edition. If that problem was origi-nally under another number in the preview edition, that number will be listed in the PREVIEWcolumn on the same line. In addition, if a reference used in that problem has changed, that changewill be noted under the problem number in quotes. Chapters and problems not listed areunchanged.
For example:
NEW PREVIEW----- ---------
4.18 4.5 Fig. 4.38 Fig. 4.35 Fig. 4.39 Fig. 4.36
The above means that problem 4.18 in the new edition was problem 4.5 in the preview edition. Tofind its solution, look up problem 4.5 in the solutions manual. Also, the problem 4.5 solutionreferred to Fig. 4.35 and Fig. 4.36 and should now be Fig. 4.38 and Fig. 4.39, respec-tively._____________________________________________________________________________
CHAPTER 3
NEW PREVIEW----- ---------
3.1 3.83.2 3.93.3 3.113.4 3.123.5 3.133.6 3.143.7 3.15 From 3.6 From 3.143.8 3.163.9 3.173.10 3.183.11 3.193.12 3.203.13 3.213.14 3.223.15 3.1SIC 1328
CmosRazavi 22/9/063.16 3.23.17 3.23.18 3.33.19 3.43.20 3.53.21 3.63.22 3.73.23 3.103.24 3.233.25 3.243.26 3.253.27 3.263.28 3.273.29 3.28
CHAPTER 4
NEW PREVIEW----- ---------
4.1 4.124.2 4.134.3 4.144.4 4.154.5 4.164.6 4.174.7 4.18 p. 4.6 p. 4.174.8 4.194.9 4.204.10 4.214.11 4.224.12 4.234.13 4.24 p. 4.9 p. 4.204.14 4.1 (4.52) (4.51) (4.53) (4.52)4.15 4.24.16 4.34.17 4.44.18 4.5 Fig. 4.38 Fig. 4.35 Fig. 4.39 Fig. 4.364.19 4.6 Fig 4.39(c) Fig 4.36(c)SIC 2328
CmosRazavi 22/9/064.20 4.74.21 4.84.22 4.94.23 4.104.24 4.114.25 4.254.26 4.26 p. 4.9 p. 4.20
CHAPTER 5
NEW PREVIEW----- ---------
5.1 5.165.2 5.175.3 5.185.4 5.195.5 5.205.6 5.215.7 5.225.8 5.235.9 5.15.10 5.25.11 5.35.12 5.45.13 5.55.14 5.65.15 5.75.16 5.85.17 5.95.18 5.10 Similar to 5.18(a) Similar to 5.10(a)5.19 5.115.20 5.125.21 5.135.22 5.145.23 5.15
CHAPTER 6
NEW PREVIEW----- ---------
6.1 6.76.2 6.8SIC 3328
CmosRazavi 22/9/066.3 6.9 from eq(6.23) from eq(6.20)6.4 6.106.5 6.11 eq (6.52) eq (6.49)6.6 6.16.7 6.26.8 6.36.9 6.46.10 6.56.11 6.66.13 6.13 eq (6.56) eq (6.53) problem 3 problem 96.16 6.16 to (6.23) & (6.80) to (6.20) & (6.76)6.17 6.17 equation (6.23) equation (6.20)
CHAPTER 7
NEW PREVIEW----- ---------
7.2 7.2 eqn. (7.59) eqn. (7.57)7.17 7.17 eqn. (7.59) eqn. (7.57)7.19 7.19 eqns 7.66 and 7.67 eqns 7.60 and 7.617.21 7.21 eqn. 7.66 eqn. 7.607.22 7.22 eqns 7.70 and 7.71 eqns. 7.64 and 7.657.23 7.23 eqn. 7.71 eqn. 7.657.24 7.24 eqn 7.79 eqn 7.73
CHAPTER 8
NEW PREVIEW----- ---------
8.1 8.58.2 8.6SIC 4328
CmosRazavi 22/9/068.3 8.78.4 8.88.5 8.98.6 8.108.7 8.118.8 8.18.9 8.28.10 8.38.11 8.48.13 8.13 problem 8.5 problem 8.9
CHAPTER 13
NEW PREVIEW----- ---------
3.17 3.17 Eq. (3.123) Eq. (3.119)
CHAPTER 14 - New Chapter, Oscillators
CHAPTER 15 - New Chapter, Phase-Locked Loops
CHAPTER 16 - Was Chapter 14 in Preview Ed.
Change all chapter references in solutions manual from 14 to 16.
CHAPTER 17 - Was Chapter 15 in Preview Ed.
Change all chapter references in solutions manual from 15 to 17.
CHAPTER 18 - Was Chapter 16 in Preview Ed.
NEW PREVIEW----- ---------
18.3 16.3 Fig. 18.12(c) Fig. 16.13(c)18.8 16.8 Fig. 18.33(a,b,c,d) Fig. 16.34(a,b,c,d)
Also, change all chapter references from 16 to 18.SIC 5328
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Design of Analog CMOS Integrated Circuits
Behzad Razavi
Errata in Problem Sets
Chapter 2 In Eq. (2.44),
n
must be in the numerator.Chapter 3 Call the third problem 3.2. In Problem 3.2, Fig. 3.68(d), change the gate voltage ofM2to V
b2. In Problem 3.4, Fig. 3.71(a), change the gate voltage ofM
=
1 to Vb1.
In Fig. 3.72(e), Vb1 must be changed to Vin.
In Fig. 3.73(h), the output is at the source of M2. In Problem 3.10(c), the question must be phrased as: Whichdevice enters the triode region first as V
out
falls? In Problem 3.13, first sentence should read: ... withW=L =50=0:5 ... In Problem 3.16(a), do not neglect channel-length modula-tion in the triode region.Chapter 4 In Problem 4.2, assume I
SS
= 1 mA and change part (a) to:Determine the voltage gain. In Problem 4.6, assume = 0. In Problem 4.9, assume = = 0. In Problem 4.11, assume I
D5 = 20 A. In Problem 4.13, change the figure number to 4.8(a).Chapter 5 In Problem 5.16(d), assume V
TH
does not vary with tem-perature.Chapter 6 In Problem 6.4(b) and (d), assume 6= 0.Chapter 7 The second sentence of Problem 7.2 should read: Assume(W=L)1 = 50=0:5; ID1 = ID2 = 0:1 mA ...
In Problem 7.20, change ID1 and ID2 to 0.05 mA.
In Problem 7.24, change the bias current to 0.1 mA.Chapter 8 In Problem 8.10, change the tolerable gain error to 5%. In Problem 8.15, Fig. 8.55(b), call label the top G
m
blockG
m2. The output is at the output nodes of Gm2.Chapter 10 In Problem 10.11, change I
SS
to 0.25 mA and (W=L)5;6 to60/0.5. In Problem 10.12, add: Maximize V
GS14 = VGS15 whileleaving at least 0.5 V across I1. Also, in part (b), change M2to M1. Problem 10.17 should read: ... between the gate and thedrain of M2 or M3. In Fig. 10.42, change the gate voltage of M3;4 to Vb1. In Problem 10.19(c), change A0 in the numerator to A.Chapter 11 In Problem 11.13, ... such that the circuit operates withV
DD
= 3 V. In Problems 11.17 and 11.18, the top terminal of R2 shouldbe connected to the top terminal of R1. In Problem 11.22, assume K = 4.Chapter 12 In Problem 12.8, assume C
H
= 1 pF. In Problem 12.12, assume all switches are NMOS devices. In Problem 12.14, assume C
in
= 0:2 pF and calculate C1and C2. In Problem 12.16, the output is sensed at the drains of M1and M2.Chapter 13 In Problem 13.5, change the figure number to 13.6(a).
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Chapter2 MOS2.12.22.32.42.52.5 a2.5 b2.5 c2.5 d2.5 e
2.62.6 a2.6 b2.6 c2.6 d2.6 e
2.72.7 a2.7 b2.7 c2.7 d
2.82.8 a2.8 b2.8 c
2.92.9 a2.9 b2.9 c2.9 d2.9 e
2.102.10 a2.10 b2.10 c
2.112.11 a2.11 b2.11 c2.11 d
2.122.12 a2.12 b2.12 c2.12 d
2.132.142.152.162.172.182.192.202.212.222.232.242.252.262.26 a2.26 b
2.272.28
Chapter3 3.8 3.13.9 3.23.11 3.33.12 3.43.13 3.53.14 3.63.15 3.73.16 3.83.17 3.93.18 3.103.19 3.113.20 3.123.21.223.13.143.1 3.153.2 3.163.3 3.183.4 3.193.5 3.203.6 3.213.7 3.223.10 3.233.23 3.243.24 3.253.25 3.263.26 3.273.27 3.283.28 3.29
Chapter4 4.12 4.14.14 4.34.15 4.44.16 4.54.17 4.64.18 4.74.13 4.2
4.19 4.84.20 4.94.21 4.104.22 4.114.23 4.124.24 4.134.1 4.144.2 4.154.3 4.164.4 4.174.5 4.184.6 4.194.7 4.204.8 4.214.9 4.224.10 4.234.11 4.244.254.26
Chapter5 5.16 5.15.17 5.25.18 5.35.19 5.45.20 5.55.21 5.65.22 5.75.23 5.85.1 5.95.1 a5.1 b5.1 c5.1 d e
5.2 5.105.3 5.115.3 a5.3 b5.3 c
5.4 5.125.4 a5.4 b
5.5 5.135.5 a5.5 b5.5 c
5.6 5.145.6 a5.6 b
5.7 5.155.7 a5.7 b
5.8 5.165.9 5.175.10 5.185.11 5.195.12 5.205.13 5.215.14 5.225.15 5.23
Chapter6 6.7 6.16.8 6.26.9 6.36.10 6.46.11 6.56.1 6.66.2 6.76.3 6.86.3 a6.3 b6.3 c6.3 d6.3 e6.3 f
6.4 6.96.4 (a.b)6.4 c6.4 d
6.5 6.106.5 a6.5 b
6.6 6.116.126.136.146.156.166.176.17 a6.17 b
Chapter7 7.17.27.37.(4.5)7.67.6 (a.b)7.6(c.d.e)7.6(e.f)
7.77.7(a.b.c)7.7(d)
7.87.97.10.117.127.137.147.157.167.177.18.197.207.217.227.237.247.257.26
Chapter8 8.5 8.18.6.7.8 8.2.3.48.9 8.58.10 8.68.11 8.78.1 8.88.2 8.98.3 8.108.4 8.118.128.138.12.13add8.148.158.168.178.188.198.208.218.228.23
Chapter9 9.19.1 a9.1 b9.1 c
9.29.2 (a.b)9.2 c9.2 d
9.39.49.59.69.79.89.99.109.119.129.139.149.159.169.179.189.199.209.219.229.239.249.25
Chapter10 10.110.210.310.410.510.610.710.810.910.1010.1110.1210.1310.1410.1510.1610.1710.1810.1910.19 d add10.19 d10.19 (a.b.c)
10.20
Chapter11 11.111.211.311.411.511.611.7.811.911.10.1111.1211.1311.12.13add11.1411.1511.1611.1711.18.1911.2011.2111.22
Chapter12 12.112.212.312.412.512.612.712.8.9 12.1012.12.13.1412.1512.16.1712.18.1912.20.2112.22
Chapter13 13.113.213.313.4.513.613.7.8.913.1013.1113.1213.13.14.1513.1613.17.18 13.1913.20
Chapter14 A 14.114.2.3.414.4.514.5.6.714.8.914.1014.1114.1214.13
Chapter14 14.114.(2.3) 14.414.514.6.714.4.5.6add14.714.814.914.1014.1114.12.1314.1414.15.16
Chapter15 15.115.2.315.415.5.615.715.815.9.1015.1115.12
Chapter15 A 15.1.215.3.415.5.6.715.8.915.10.11.1215.1315.1415.1515.16
Chapter16 to 18 16.116.216.316.416.516.616.716.8.9 16.1016.1116.12.1316.1416.1516.1616.17