page  line  incorrect  correct 
18  equation (2.2) 

remove limit 
27  17 
sin(w_{1}t) cos(w_{2}t) +
cos(w_{1}t) sin(w_{2}t) 
1/2( cos((w_{1}w_{2})t)  cos((w_{1}+w_{2})t) ) 
28  table  line 7 
a^{n} 
A a^{n} 
29  exercise 2.2.7 
1 / SQRT T 
1 / T 
30  exercise 2.2.9 
d(t) 
d(x) 
32  1 
When measuring in, 
When measuring in dB, 
33  2 
n=∞,∞ 
n=∞ ... ∞ 
34  31 
a = 1 
a = 1. 
41  25 
when we the basis of sinusoids 
when the basis of sinusoids 
42  equation (2.26) 
S_{n=∞}^{∞} 
S_{m=∞}^{∞} 
44  14 
a function of a signal variable, 
a function of a single variable, 
53  13 
f_{s} > f_{max} 
f_{s} > 2 f_{max} 
54  4 
the in the 
the other in the 
64  24 
important 
importance 
64  256 
understand 
understands 
74  16,34 
sinusoid with period n*f 
sinusoid with frequency n*f 
83  7 
{ v_{k} }_{k=1} ^{∞} 
{ v_{k} }_{k=0} ^{∞} 
83  9 
v_{2k+1}(t) ... k>0 
v_{k}(t) ... odd k>0 
83  10 
v_{2k}(t) ... k>0 
v_{k}(t) ... even k>0 
83  20 
s(t) = S _{k=1} ^{∞} c _{k} v _{k}(t) 
s(t) = S _{k=0} ^{∞} c _{k} v _{k}(t) 
91  1 
nor even. ... of both 
nor even ... of both. 
91  equation (3.18) 
s(t) = S _{k=0} ^{∞} 
s(t) = S _{k=1} ^{∞} 
92  equation (3.20) 
∞ 1 
∞ 
92  equation (3.24) 
c_{k}(t) 
c_{k} 
93  15, 17, 21, 23 
2 p k t / T 
2 p t / T 
93  17 
e ^{i 2 p t / T } and
e ^{i 2 p t / T } 
e ^{i 2 p q t / T } and
e ^{i 2 p q t / T } 
93  19 
d _{k, 1} and
d _{k, +1} 
d _{k, q} and
d _{k, +q} 
93  exercise 3.6.1 
2 p / 2 
3 p / 2 
95  1 
e ^{ i 2pk / T } 
e ^{ i 2pk / T t } 
96  17, 18 
S _{k} 
s _{k} 
96  20 
S _{K} 
S _{k} 
98  23 
with d constant 
with d constant 
109  exercise 4.1.2 
cos (w T) 
cos (w t) 
111  equation 4.10 
FT ( sin (w t) ) 
FT ( sin (W t) ) 
111  equation 4.10 
FT ( cos (w t) ) 
FT ( cos (W t) ) 
130  16 
but he 
where w(tt) is a window function and he 
133  8 
i^{2} = (10)^{2} = 1 
i^{4} = (1)^{2} = 1 
133  equation (4.31) 
e ^{ i (p/N)} 
e ^{ i p } 
138  16 
correspond to convolution sums 
correspond to integrals over the Nyquist interval and convolution sums 
138  equation (4.44) 
X_{k} Y_{kk} 
1/(2 p)
INTEG _{k}
^{+k}
X(W)
Y(wW)
d W 
138  equation (4.45) 
x_{n} y_{nm} 
x_{m} y_{nm} 
139  26 
since the FFT if an impulse 
since the FFT of an impulse 
147  2 
= cos ^{1}(p/5) 
= 2 cos (p/5) 
147  3  ==  = 
148  equation (4.60)  s(w)  S(w) 
148  (4.60) 
e ^{i w} 
e ^{i w} 
157  9 
turns out to very general 
turns out to be very general 
158  30 
A_{1} sin w t +
A_{2} sin w t 
A_{1} sin w_{1} t +
A_{2} sin w_{2} t 
172  15 
the received signal y_{n} is seems 
the received signal y_{n} seems 
174  exercise 5.3.3 
s_{n} = sin (w t) +
g n_{n} 
s_{n} = sin (w n) +
g n_{n} 
193  1718 
for all times is ... over all x values 
at time t is ... over all values of s 
196  9 
the time average of a signal s at time zero is 
the time average of a signal s at a given time is 
197  8 
When we thinking about it 
When we think about it 
202  equation (5.27) 
z_{k+1} = z  g(z_{k}) / k 
z_{k+1} = z_{k}  g(z_{k}) / k 
209  exercise 6.1.1 6. 
y(t) = INTEG _{∞} ^{t} x(t) 
y(t) = INTEG _{∞} ^{t} x(u) du 
210  equation for Clip_{q }(x) 
q ≤ x 
x ≤ q 
219  next to last 
for i = 0 to L 
for l = 0 to L 
220  exercise 6.3.1 
(s_{1} * s_{2}) * (s_{1} * s_{3}) 
(s_{1} * s_{2}) + (s_{1} * s_{3}) 
222  equation (6.19) 
x _{n} = S _{i=0}
^{∞} y_{i} 
x _{n} = S _{i=0} ^{n} y_{i} 
227  equation 6.24 
S_{m=∞}^{0}
x_{m} h_{nm} 
S_{m=∞}^{n}
x_{m} h_{nm} 
236  caption 6.9 
lower ... higher 
higher ... lower 
236  exercise 6.7.1  samples?  samples. 
239  bottom 
h_{1} x_{0} + h_{0} x_{1}
+ h_{1} x_{2} (and similar) 
h_{1} x_{0} + h_{0} x_{1}
+ h_{1} x_{2} (and similar) 
240  top 
matrix 
interchange h_{1} and h_{1} 
241  last 
a = 1 / L 
a = 1 / (L+1) 
240  exersize 6.8.3 
y^{2}1_{n},
y^{3}1_{n} 
y^{2}_{n},
y^{3}_{n} 
242  12  of not losing  of losing 
242  13 
the filter paradoxically 
the filter output paradoxically 
245  exercise 6.9.7 
x_{1}  x_{0} ... a_{n} 
a_{n1} = x_{0} + x_{n} 
^{...} (x_{1}  x_{0}) +
^{...} + (x_{n}  x_{n1}) = x_{n} 
249  12  (A.23)  (A.23,A.24) 
249  14 
(2 cos^{2} W T  1)
+ cos W t 
(2 cos^{2} W T  1)
 cos W t 
249  15 
(2 sin W T cos W T) 
(sin W t cos W T
 cos W t sin W T ) 
253  40 (last) 
is to short a time 
is too short a time 
268  16 
h_{n} = 1/2 ^{  (n+1) } 
h_{n} = 1/2 ^{ (n+1) } 
269  exercise 6.14.3 
two systems connected 
two filters connected 
269  exercise 6.14.3 
y = H_{2} w, w = H_{1} x 
Y = H_{2} W, W = H_{1} X 
269  exercise 6.14.3 
y = H_{1} x + H_{2} y 
Y = H_{1} X + H_{2} X 
273  Figure 7.1 
lowpass ... highpass  highpass ... lowpass 
280  20 
with respect to a, b, c 
with respect to a0, a1, a2 
282  3 
y = a_{2} = ... 
y = a_{0} = ... 
283  equation for h(t) 
(p  1 / in) 
(p  1 / it) 
285  equation for H(w)^{2} 
1 / 2 ( 1  cos(w) 
1 / 2 ( 1  cos(w)) 
295  2 
other than an simple 
other than an 
304  12 
H(f)^{2} 
H(f)^{2} 
322  equation (8.4) 
A sin(w t) + e A^{2}/2 + 1/2 cos(2w t) 
A cos(w t) + e A^{2}/2 + e A^{2}/2 cos(2w t) 
346  2nd table  incorrect bolds  
348  12  beed  been 
383  11 
x + x^{2}  x^{3} 
x  x^{3} 
383  23 
x^{2}  2 cos(f) + 1 
x^{2}  2 cos(f) x + 1 
388  20 
P_{4} = {(n_{2}) ... 
P_{4} = {(n_{3}) ... 
410  13 
(d^{[m]})^{2} 
(d^{[m]})^{2} 
463  18 
it different points together. 
different points together. 
468  3rd drawing 
x > [g] >^{y} [f] > z 
x > [f] >^{y} [g] > z 
472  8 
with a_{0} x_{n} splits should be marked 
with a_{0} x_{n} should be marked 
474  4 
is topologically identical to the previous one. 
implements the same system as the previous one. 
476  exercise 12.2.1 B, C 
missing adders 

478  2 
the signal 4 x_{n1} 
the signal 4 x_{n2} 
479  3 
any two linear systems ... commute. 
any two filters commute. 
516  equation (13.15) 
< (x+n)
(s^{t}+n^{t}) >

< (x+n)
(x^{t}+n^{t}) >

533  35 
N Dt 
N t_{s} 
539  2 
derivation of the our first 
derivation of our first 
541  butterflies 
x_{k}^{E},
x_{k}^{O},
x_{k}^{EE},
x_{k}^{EO} 
X_{k}^{E},
X_{k}^{O},
X_{k}^{EE},
X_{k}^{EO} 
547  derivation  
error 
548  DIF butterfly 
W_{N}^{k} 
W_{N}^{n} 
553  16 and equation (14.9) 
C_{m} 
C_{2m} 
563  3 
for n < N1 down to 0 
for n < N2 down to 0 
564  7 
Q_{n} < x_{n} + (V+W)Q_{n1} + (WV)Q_{n2} 
Q_{n} < x_{n} + (V+W)Q_{n1}  (WV)Q_{n2} 
567  equation (14.13) 
x_{m} + n W_{N}^{nk} 
x_{m+n} W_{N}^{nk} 
568  35  MAFFT  FIFOFFT 
605  23 
Puthagorean 
Pythagorean 
612  16 
negligible, 
y becomes negligible, 
634  15  eight  2^8=256 
678  3, 4, equation 18.18 
A(t) 
A(f) 
678  3 
N(t) 
N(f) 
699  26 
completely remove DC 
assist in controlling DC 
731  2 
24001800=600 
18001200=600 
731  3 
2400+1800=3000 
1800+1200=3000 
739  2 
we treat of one of 
we treat one of 
758  equation (19.3) 
(1 + m s/ s_{max}) /
(1 + s/ s_{max}) 
ln (1 + m s/ s_{max}) /
ln(1 + m) 
758  16 
Obviously, ... large s. 
Obviously, for small m the function is almost linear,
while large m causes saturation
to set in earlier. 
759  6 
Alaw staircase 
mlaw staircase 
759  7 
approximated mlaw 
approximated Alaw 
759  exercise 19.7.4 
16bit linear ... 2^{15}=32768 
13bit linear ... 2^{12}=4096 
760  28 
DdeltaPCM 
DeltaPCM 
770  14  3 and 6  2 and 5 
779  29 
that specifies for the 
that specifies the 
789  22 
u . v ≥ 0 
u . u ≥ 0 
794  20 
e^{a+b} = e^{a}+e^{b} 
e^{a+b} = e^{a} e^{b} 
797  equation (A.30) 
sin(3a) = 2 sin(a) cos(a) 
sin(3a) = 3 sin(a)  4 sin^{3}(a) 
797  equation (A.30) 
cos(3a) = ... 
cos(3a) =  3 cos(a) + 4 cos^{3}(a) 
797  equation (A.30) 
sin(4a) = 2 sin(a) cos(a) 
sin(4a) = 8 cos^{3}(a)sin(a)  4 cos(a) sin(a) 
797  equation (A.30) 
cos(4a) = ... 
cos(4a) = 8 cos^{4}(a)  8 cos^{2}(a) + 1 
803  exercise A.9.1 
1 + 3 + 5 + ... = n^{2} 
1 + 3 + 5 + ... + 2n1 = n^{2} 
803  equation (A.52) 
s(t) =  l d s(t) / dt 
d s(t) / dt =  l s(t) 
803  equation (A.53) 
s(t) =  w^{2} d s(t) / dt 
d s(t) / dt =  w^{2} s(t) 
809  exercise A.11.1 
1 / p 
1 / (2 p) 
837  names with "Jr"  misalphabetized  
838  ref [143]  October 1989  January 1989 
851  index to "decimation in time"  see DIT, see DIF  see DIT 