% errsol.tex - list of errata for the SOLUTIONS MANUAL of the book:
%
% Introduction to Signal Processing
% Sophocles J. Orfanidis
% Prentice Hall, Englewood Cliffs, NJ, 1996
% ISBN 0-13-209172-0
%
% This is a LaTeX 2.09 file

\def\filedate{February 15, 2005}

\documentstyle{article}

\setlength{\topmargin}{-0.5in}
\setlength{\headsep}{0pt}
\setlength{\textwidth}{7in}
\setlength{\textheight}{9.5in}
\setlength{\oddsidemargin}{-0.25in}
\setlength{\evensidemargin}{-0.25in}

\def\ov{\displaystyle\frac}
\def\fb#1{{\mbox{\bf#1}}}

\begin{document}

\begin{center} \bf
Introduction to Signal Processing -- S. J. Orfanidis \\
Errata List for Solutions Manual -- \filedate
\end{center}

\small
\begin{enumerate}

%------------------------------------------------------------------------

\item[Prob--1.05:]
The last terms of $x(t)$ and $x_a(t)$
should be $\sin(2\pi t)$ instead of $-\sin(2\pi t)$.


%------------------------------------------------------------------------

\item[Prob--1.09:]
The final expression for $y_a(t)$ should
read: $1.0016 \sin(10\pi t) + 0.9606 \sin(20\pi t)$.

%------------------------------------------------------------------------

\item[Prob--1.10:]
In the expression for $S(f)$ involving the sum over $m$
and the integral, the $s(t)$ should be removed from the integrand.

%------------------------------------------------------------------------

\item[Prob--1.24:]
Between the last two expressions for $H(f_m)$, read:

\[
\ov{1}{T} H(f_m) = \ov{\sin(\pi f_m T)}{\pi f_m T} e^{-j\pi f_m T}
\]

and because $\pi f_m T = \pi f_0 T + m\pi$, we have:

\[
\ov{1}{T} H(f_m) = \ov{\sin(\pi f_0 T)}{\pi f_m T} e^{-j\pi f_0 T}
\]

%------------------------------------------------------------------------

\item[Prob--2.14:]
In the two conversion tables for $x=1.2$, the final correct value of
$x_Q$ should be 1.0.

%------------------------------------------------------------------------

\item[Prob--3.05:]
The last equation should read 
$y_n = 0.5y_{n-1} + 4x_n + x_{n-1}$.

%------------------------------------------------------------------------

\item[Prob--5.11:]
In the last two displayed equations, the words ``max'' and ``min'' must be interchanged (the
summation limits are correct.)

%------------------------------------------------------------------------

\item[Prob--5.16:]
In Parts (c) and (d), there must always be seven zeros separating
the non-zero entries of $x(n)$.

%------------------------------------------------------------------------

\item[Prob--6.07:]
The figure of inadvertently shows the
block diagram of Problem 6.6. It should depict $h(n)$ versus $n$.

%------------------------------------------------------------------------

\item[Prob--6.22:]
The sample processing algorithm should read
$w_0=x+aw_{16}$, $y=w_0 - w_{16}$. Filled circles in the figure represent poles.

%------------------------------------------------------------------------

\item[Prob--7.02:]
In the first 5 lines of the solution, the expression $\bigl(Y(z)-X(z)\bigr)$ should be replaced by
$\bigl(X(z)-Y(z)\bigr)$.

%------------------------------------------------------------------------

\item[Prob--7.03:]
The last line should read:
$\fb{h} = [0,1,0,5,0,6,0,1,0,5,0,6,\dots]$.

%------------------------------------------------------------------------

\item[Prob--7.09:]
In line 4, instead of $1+z^{-4}$, read $1+z^{-3}$.

%------------------------------------------------------------------------

\item[Prob--7.11:]
In line 5, instead of $z=\pm0.9m,\pm0.9j$, read $z=\pm0.9,\pm0.9j$.

%------------------------------------------------------------------------

\item[Prob--7.12:]
Instead of ``Therefore, the zeros are be'', read ``The zeros are''. Also, in
the last equation for $h(n)$, the quantities $\pm c^{(n-4)/4}$ must be
multiplied by the factor $1-c^2$.

%------------------------------------------------------------------------

\item[Prob--7.19:]
In the $w_0$-column of the last table, the last three
0's should be 1's.

%------------------------------------------------------------------------

\item[Prob--7.20:]
In the first line, instead of ``direct for denominator'',
read ``direct form denominator''.

%------------------------------------------------------------------------

\item[Prob--8.09:]
The zero patterns and corresponding magnitude responses
of the last two filters must be interchanged.

%------------------------------------------------------------------------

\item[Prob--9.04:]
In line before last, instead of $18 \mbox{mod} 16$, 
read $18 \mbox{mod} 8$.

%------------------------------------------------------------------------

\item[Prob--9.10:]
The last rounded value of $k_A$ should be 30.

%------------------------------------------------------------------------

\item[Prob--9.22:]
The term $\sin(10\pi t)$ of $x(t)$ should read
$\sin(20\pi t)$. In the same problem, the answer for the DFT $\fb{X}$ has
an extra 0 at its end, which should be deleted. Finally, the third term of the
expression for $x(n)$ in terms of complex exponentials should be
$je^{-j\pi n/2}$ instead of $je^{j\pi n/2}$.

%------------------------------------------------------------------------

\item[Prob--9.26:]
In third line, $\omega_1 2$ should read $\omega_{12}$. Moreover,
the phase of $W(\omega)$ should be $e^{-j15\omega/2}$ instead
of $e^{-j8\omega}$.

%------------------------------------------------------------------------

\item[Prob--9.34:]
The term $1.5/\log_2N$ in the last equation should read $2.5/\log_2N$.

%------------------------------------------------------------------------

\item[Prob--9.42:]
The vectors $\fb{x},\fb{X},\fb{b}$ must be divided by a factor
of 4 to make them compatible with the given definition of $x(t)$. 
Moreover, the aliased signal should be:
$x_{al}(t) = 2j b_1 \sin(2\pi t) + 2j b_3 \sin(6\pi t)$, where
$2j b_1 = (2 + \sqrt 2)/16$ and $2j b_3 = -(2 - \sqrt 2)/16$.


%------------------------------------------------------------------------

\item[Prob--11.11:]

The calculated value of $f_0$ should be $10.003$, instead of $1.003$.

%------------------------------------------------------------------------

\item[Prob--12.02:]
The expression for $d(k)$ in the higpass case, should have as numerator
$\sin(\pi k) - \sin(\omega_a k)$.

%------------------------------------------------------------------------

\item[Prob--12.04:] 
The tenth entry of the vector $\fb{d}$ should be $0.300$, instead of $0.200$.

%------------------------------------------------------------------------

\item[Prob--12.08:] 
The calculation of $N_1$ should read: $N_1-1 = \ov{DF_1}{F_0-1} = \ov{5.0174\cdot 4}{2-1} = 20.07$.

%------------------------------------------------------------------------

\item[Prob--12.09:] 
The vertical label of Fig.~P12.16 should be {\em dB\/}
instead of {\em degrees}. In line 3, instead of $d(k) = \pm d(k)$, read $d(-k)
= \pm d(k)$. In line 3 from the bottom, instead of $d'(k) = w(k)w(k)$, read
$d'(k) = w(k) d(k)$.

%------------------------------------------------------------------------

\item[Prob--12.10:]
In the third equation from the end, instead of 4.5, read 2.25.

%------------------------------------------------------------------------

\item[Prob--12.24:]
And also in Prob--12.25, 
the extra right parenthesis should be
removed from the denominator of $H_1(z)$ and $H_2(z)$, that is, it must read $1-z^{-1}$.

%------------------------------------------------------------------------

\item[Prob--12.25:]
The denominator of $H_x(\zeta)$ should be identical to that of $H_{NS}(\zeta)$.

\end{enumerate}

\end{document}
