**Email
and Errata for CMOS Mixed-Signal Circuit Design**

*Email*

1. In the
switched-capacitor
circuits discussed in the MSD book all that sample …

2. Isn’t
the KD1S in Fig. 9.4
simply a multi-bit modulator, Sec. 7.3.4?

3. Additional
comments on the
use of *K*-paths (aka *N*-paths)
seen on pages 52 – 53

5. Shouldn’t
the modulation noise in Fig. 8.16
be less than what is seen in Fig. 8.14 adjacent to the input tone? Yes,
see
SPICE simulation comments here.

6. What,
in simple terms, is
the benefit of the KD1S topology?

8. Would
you post the first edition’s Ch. 36,
at the bench? Yes, Ch36_1e_MSD.pdf.

9. Would
you post an example of a
continuous-time KD1S? Yes, see CT_KD1S.zip
for an LTspice example with Matlab
scripts.

*Errata*

Typos
found in the 2^{nd}
Edition of CMOS
Mixed-Signal Circuit Design, ISBN 978-0-470-29026-2, published
December, 2008

Typos
found in the 2^{nd}
and
later printings of the 2^{nd} Edition

pages 123-125, 128, 131, 137, 204-205, 274 change "binary offset" to "offset binary" (yes, minor ;-). It's listed both ways in the Index

page 142 - in Fig. 4.31 use fs,new instead of fs in the labels on the x-axis

page 172 - there are 25 points (from DC to 50 MHz) in Fig. 5.14 not 32 as indicated in the paragraph above this figure

page
288 - frequency is
misspelled in Fig. 8.3

Typos
fixed in the 2^{nd}
printing of the 2^{nd} Edition

pages
5-6 – as mentioned
on page 4 the cosine
signal leads the sine signal by 90 degrees. This means that the quadrature signal, with
amplitude *A _{Q}*,
in Fig. 1.6 should be drawn pointing down on the
y-axis instead of up. The way it’s currently drawn the sine signal
leads the
cosine signal. With this correction the phase shift in Eqs. (1.10) and
(1.11)
should be negated (change tan

page
12 – Fig.
1.14b, replace vin(f) =
z^-1*vout(f) with vout(f) = z^-1*vin(f), in other
words swap vin and vout

page
23 – Eq.
(1.81) is incorrect. The
delay is already represented in the frequency domain so it doesn’t make
sense
to take its Fourier transform. This will be changed to show that the
Fourier
transform of a time shifted signal, x(t – t0), has a frequency spectrum
representation of X(f)*exp(-j2*pi*f*t0)

page
26 – Question
1.17, time was not
included in the arguments of the sinusoids. They should read sin(2*pi*f0*t + theta) and cos(2*pi*f0*t + phi)

page
38 –
11^{th} line down change
–39.7 to –39.2

page
42 – Eq.
(2.17), [u(t – nTs – T)
– u(t – NTs – Ts)] isn’t h_t(t).
h_t(t) is [u(t – T) – u(t – Ts)] (to fix the typo
remove the label h_t(t)
in the first line of the equation)

page
43 –
fifth line from the bottom change
“(call interpolation)” to “(called interpolation)”

page
46 –
add a space two lines above Eq.
(2.30) so that “Eq. [2.16]).In” changes to “Eq. [2.16]). In” (add a
space)

page
52 –
The left side of Eq. (2.53)
should have magnitude brackets

page
54 –
14^{th} line down change
CI to CF

page
58 –
in Fig. 2.41 change the CH to CF
so that it matches the derivations, add “–” sign to exponents in Eqs.
(2.73)
and (2.74), and minor correction to the derivation of the autozero,
see here

page
61 –
5^{th} line down remove
“that” and change “is” to “are”

page
63 – 7^{th}
line down change
(2.63) to (2.83)

page
64 –
fix spacing in Fig. 2.50 caption

pages
65-66 – correction to the derivation of single-ended S/H response, see here. Also, 7^{th}
line down on page 66 change
“uncharged” to “discharged”

page
66 –
remove the extra space at the end
of Table 2.2’s caption

page
71 – Question
2.3, change “returning
the output of the S/H reduces…” to “returning the output of the S/H **to zero** reduces…” and change 2.2 to 2.4
in Fig. 2.59 caption

page
72 –
change CH to CF in question 2.12
to correspond to the change on page 58 listed above

page
73 –
sixth line down remove the space
between continuous- and time, last line in first paragraph add hyphen
between
higher and order.

page
76 – Figure
3.5 caption, replace 35.4
with 3.4

page 85 - change, in Eq. (3.29), V_{tune} to (V_{tune} - 2v_{in+})

page
86 –
change the label on the y-axis in
Fig. 3.15b from *i _{out}*

page
87 – Eq.
(3.30) remove the minus sign
in front of *i _{out}*

page
93 –
Figure 3.25 caption should refer
to Fig. 3.24 not Fig. 5.24

page
102 – Figure 3.35
change the plus sign in
the denominator of the “max” equation to a minus sign

page
115 – swap
the outputs of the gm4 transconductor
in Fig. 3.53

page
117 – Questions
3.18 and 3.19 change
35.9 and 35.12 to 3.9 and 3.12

page
124 – 12^{th}
line down change
“extended and inverted” to “inverted and extended”

page
125 – Figure
4.7, change the last entry
under A from (1) to (+1) and add OF! after the next to the last entry
under
Out(A + B), 0010 (+2) OF!

page
126 – Figure 4.8,
change the last entry
under Out(A-B) from 0001 (-1) to 0001 (+1) OF!

page
127 – the
counter and hold register in
Fig. 4.9 should be log2(K) + 1 bits wide not K-bits wide

page
128 – add
K in front of the Sinc ratio
in the equation seen in Fig. 4.10 for |H(f)|, see Eq. (4.12), add
impulse on
the left in Fig. 4.11b so symmetrical

page
131 – in
Fig. 4.14 show the first
inverter’s output as 2-bits and the input to the comb filter is 9 bits

page
136 – change
“filer” to “filter” in the
caption in Fig. 4.22

page
137 – in
Fig. 4.24 show the first inverter’s
output as 2-bits, 7-bits below the inverter instead of 8, and the input
to the
comb filter is 9 bits. Also, in Fig. 4.24 the sign bit only needs to be
extended by 1 on the input of the resonator so a 10-bit DAC is used

pages
140 and 144 –
4^{th} line
from the bottom change “integrators” to “integrator” and there are two
Example
4.8s so re-label the one on page 140 “Example 8a” and the one on page
144
“Example 8b”.

page
142 - add
(*KM*)* ^{L}*
before
the magnitude brackets in Eq. (4.33) and to the y-axis of the Sinc plot in Fig. 4.31, change

page
143 – 12^{th}
line from the top
change “write” to “equate”

page
144 – Figure 4.33
should be modified so
that they have 8 humps between DC and fs

page
158 – bottom
two lines, 0.5625 is the
result of cascading two 0.75 multipliers not 0.875 multipliers (change
0.875 to
0.75 in last line)

page
160 – in question
4.9 replace “Repeat
question 4.3 for a…” with “Repeat Ex. 4.3 for a…”

page
170 – Example
5.2 should refer to Fig.
5.13 not Fig. 5.9.

page
174 – 6^{th}
line down change
Eq. (5.11) to Eq. (5.13)

page
178 – last line
change “of ideal” to “of
the ideal”

page
180 – 4^{th}
line from the
bottom remove the extra space between the word “jitter” and the comma

page
188 – near
midway down the page change
(514) to (5.14), also remove the square of 0.858 (it’s already power)
in
root(0.858 + 1.3^2) = 1.6 mV so SNR is 46.9 dB (instead of 47.1 dB)

page
190 – Figure
5.26, the unshaded
rectangle above the shaded rectangle should be
made taller so its area matches the shaded rectangle

page
198 – 14^{th}
line from the
bottom change 24 dB to 48 dB

page
204 – Figure
6.2, 3^{rd}
waveform add a horizontal line to the right so complete the waveform

page
205 – after
Eq. (6.3) add “Note that, in
Fig. 6.4b, we are assuming that the S/H response used in the model for
an ADC,
Fig. 5.2, is 1 ( *f* << *fs*).” Replace, on the 5^{th}
line from the bottom line, VQe(0)
with NTF(0).

page
207 – replace
second paragraph in Ex.
6.1 with information about the limitations of the comparator in a
continuous-time modulator

page
211 – 3^{rd}
line from the top
change LSB to MSB

page
212 – Figure 6.12
square both sides of
|H(f)|, Eq. (6.27) change *K *^{3}
to *K *^{2}

page
213 – Equation
(6.30) drop the extra VQe

page
219 – Caption
for Fig. 6.22 fix spelling
of implementation

page
220 – rewrite
last line

page
221 – 5^{th}
line change
“comparator’s” to “comparators”

page
222 – in Fig.
6.24 indicate that the
added amplifier also reduces the effects of the comparator’s delay in
addition
to comparator offsets

page
239 – 5^{th}
line change “Fig.
7.4” to “Fig. 6.1”

page
255 – 6^{th}
line from the
bottom change Fig. 7.51c to Fig. 7.26c

page
260 – Eq.
(7.67) change “G_{1}”
to “G_{2}”, 4^{th} line from
bottom, replace "The block
diagram of the..." with "The implementation of the ..

page
263 – change
the last sentence to
comment on the benefit of the topology, an added extra half clock cycle
delay
for the comparator to make a decision

page
264 – 5^{th}
line above Fig.
7.40 change “7.39” to “7.32”

page
267 – change
“Fig. 7.32 and Eqs. (7.61)
and (7.62)” to “Fig. 7.39 and Eqs. (7.68) and (7.69)”

page
272 – 6^{th}
line from bottom
change "then" to "than"

page
277 – Eq. (7.108)
change “v1(z) + v2(z)
+ v3(z)” to “v1(z)*z^-1 + v2(z)*(1 – z^-1) + v3(z)*(1 – z^-1)^2”

page
279 – shift Fig.
7.56 up so that it is
in between the two paragraphs, 9^{th} line from the
bottom change
“v1(z)” to “o1(z)”, 8^{th} line from the bottom
change “o1(z)” to
“v1(z)”

page
280 – second
line down change *y*_{1}(*t*) to *v*_{1}(*t*)

page
281 – add
additional references. Shift
the HW on the following pages.

page
286 - swap
the *I* and *Q*
labels in Fig.
8.1. The *I* sinusoid should lead the
*Q* sinusoid by *T*/4

page
288 – add
discussion of amplitude
modulation from varying comparator delay in Ex. 8.1

page
296 – 2^{nd}
line from the
bottom change “Figure 8.15” to “Figure 8.16”

page
298 - swap the *I* and *Q*
labels in Fig.
8.19. The *I* sinusoid should lead
the *Q* sinusoid by *T*/4

page
314 – 1^{st}
sentence should end
with a period not a question mark

page
315 – change the
discussion in the
second two paragraphs to focus on the comparator’s delay

pages 316-317 – minor
modification to the delay
element in Fig. 9.23 so that there is less non-overlap in the clocks,
change
the ring oscillator seen in Fig. 9.24 so that the edges of the clocks
are more
uniformly spaced (extremely important, see paper here
and the highlighted text on fourth page).

page
321 – make minor
cosmetic changes

pages
323-324 – add additional reading. Delete question 9.12 and replace it
(and
re-number as 9.12) with the old 9.13

page
325 – add pages
187, 207, 288, and 315
to the index entry for amplitude modulation

page
327 – add
page 315 to the limit cycle
oscillations entry

Sorry,
no typo list for the 1^{st} Edition,
ISBN 978-0-471-22754-0, published
May, 2002.

However,
the 1^{st} Edition’s
supporting material is available in Mixed_Signal_1e.zip
or Mixed_Signal_1e.rar