Correction to: Modern Digital Radio Communication Signals and Systems

The updated online version of these book can be found at https://doi.org/10.1007/978-3-319-71568-1_2https://doi.org/10.1007/978-3-319-71568-1_3https://doi.org/10.1007/978-3-319-71568-1_4https://doi.org/10.1007/978-3-319-71568-1_5https://doi.org/10.1007/978-3-319-71568-1_6https://doi.org/10.1007/978-3-319-71568-1_7https://doi.org/10.1007/978-3-319-71568-1_8https://doi.org/10.1007/978-3-319-71568-1_9https://doi.org/10.1007/978-3-319-71568-1

Correction to:S. -M. M. Yang, Modern Digital Radio Communication Signals and Systems, https://doi.org/10.1007/978-3-319-71568-1

This book was inadvertently published without updating the following corrections:

Cover:

Spine- Michael Yang corrected to Yang

Chapter 2:

Page 40:

>0 corrected to >0

&lt;0 corrected to <0

This is shown in the figure (LHS) corrected to This is shown in the figure below.

$\Pr \left\{r(k)|\ A(k)=+1d|\right\}$ corrected to $\Pr \left\{r(k)|A(k)=+1d\right\}$

$\Pr \left\{r(k)|\ A(k)=+1d|\right\}$ corrected to $\Pr \left\{r(k)|A(k)=-1d\right\}$

Page 42:

For to two possible errors, see Fig. 2.13. corrected to Two possible errors; see Fig. 2.13.

Page 43:

$\ln\ \frac{\frac{1}{\upsigma \sqrt{2\uppi}}{e}^{-\frac{{\left(r-1\right)}^2}{2{\sigma}^2}}}{\frac{1}{\upsigma \sqrt{2\uppi}}{e}^{-\frac{{\left(r+1\right)}^2}{2{\sigma}^2}}=\ln\ \frac{e^{-\frac{{\left(r-1\right)}^2}{2{\sigma}^2}}}{e^{-\frac{{\left(r+1\right)}^2}{2{\sigma}^2}}}}$ corrected to $\ln\ \frac{\frac{1}{\upsigma \sqrt{2\uppi}}{e}^{-\frac{{\left(r-1\right)}^2}{2{\sigma}^2}}}{\frac{1}{\upsigma \sqrt{2\uppi}}{e}^{-\frac{{\left(r+1\right)}^2}{2{\sigma}^2}}}=\ln\ \frac{e^{-\frac{{\left(r-1\right)}^2}{2{\sigma}^2}}}{e^{-\frac{{\left(r+1\right)}^2}{2{\sigma}^2}}}$

&gt;0 corrected to >0

Page 45:

This is illustrated by the figure on LHS. corrected to This is illustrated by the figure above.

Page 46:

(Table 2.1) reference has been removed

Page 48:

$\frac{d}{\sigma }=\sqrt{\frac{\frac{E_s}{T}}{\frac{N_{\mathrm{o}}}{2}B}\ \frac{3}{M^2-1}=\sqrt{\frac{3}{M^2-1}\ \left(2\frac{E_s}{N_{\mathrm{o}}}\right)}}$ corrected to $\frac{d}{\sigma }=\sqrt{\frac{\frac{E_s}{T}}{\frac{N_{\mathrm{o}}}{2}B}\ \frac{3}{M^2-1}}=\sqrt{\frac{3}{M^2-1}\ \left(2\frac{E_s}{N_{\mathrm{o}}}\right)}$

for M-PAM (Fig. 2.19) has been corrected to for M-PAM (Fig. 2.19), insert (Fig. 2.19) as .. Note that the above expression of SER (Fig. 2.19) is the same as BPSK…….

Page 58:

$\frac{1}{\uppi}{\int}_0^{\pi -\frac{\pi }{M}\exp \left(-\kern0.5em \frac{\frac{E_s}{N_o}\kern0.5em si{n}^2\frac{\pi }{M}}{\ si{n}^2\theta}\right) d\theta}$corrected to $\frac{1}{\uppi}{\int}_0^{\pi -\frac{\pi }{M}}\exp \left(-\kern0.5em \frac{\frac{E_s}{N_o}\kern0.5em si{n}^2\frac{\pi }{M}}{\ si{n}^2\theta}\right) d\theta$

Page 59:

as shown in the LHS figure is corrected to as shown in the figure above

Page 68:

Fig. 2.20, 2.21, 2.22, 2.23 reference has been removed

2^L>-1 has been corrected 2^L ‐ 1

modulo-2π is corrected to modulo 2π

Page 84:

Fig. 2.51 reference has been corrected to Fig. 2-52

Page 85:

Fig. 2.52 has been removed

Page 91:

In Fig. 2.59

$\theta (t)=2\pi \times \left[\frac{h}{2}\times \sum \limits_{n=-\infty}^{\infty }{a}_nq\left(t- nT\right)\right]+{\theta}_0$

Is corrected to

In Fig. 2.59

$\theta (t)=2\pi \left[\frac{h}{2}\sum \limits_{n=-\infty}^{\infty }{a}_nq\left(t- nT\right)\right]+{\theta}_0$

Page 95:

Fig. 2.65 reference is corrected to Fig. 2.66

Page 102:

$E\left\{x(t)x\left(t+\tau \right)\right\}={\sum}_{n=-\infty}^{n=+\infty }{\sum}_{k=-\infty}^{k=+\infty }E\left\{a{{}_na}_k\right\}h\left(t- nT\right)h\left(t+\tau - kT\right)$

Is corrected to

$E\left\{x(t)x\left(t+\tau \right)\right\}={\sum}_{n=-\infty}^{n=+\infty }{\sum}_{k=-\infty}^{k=+\infty }E\left\{a{}_na_k\right\}h\left(t- nT\right)h\left(t+\tau - kT\right)$.

Page 103:

References of table Table 1.1 in Sect 1.2 is corrected to Table 9.1 in Sect. 9.1.2

Page 111:

…symbol mapping table and a function of addition… has been corrected to symbol mapping table and a function of additional…

Page 112:

CPSKs is corrected to CPFSKs

Page 112:

pp. 143-145 has been removed from reference [2]

Chapter 3:

Page 117:

Footnote “²We assume g_X(t) to be real. When it is complex the matched filter is in general${g}_X^{\ast}\left(-t\right)$. In other words, time reversal and conjugation of g_X(t) will be a matched filter. Unless otherwise stated, we consider only a real impulse response. When h(t) is real, $h\left(-t\right)={h}^{\ast}\left(-t\right)$.” has been added

Page 118:

impulse had a pair as ${g}_X^{\ast}\left(-t\right)\leftrightarrow {G_X}^{\ast X}(f)$; its frequency is corrected to impulse had a pair as ${g}_X^{\ast}\left(-t\right)\leftrightarrow {G_X}^{\ast }(f)$; its frequency

Page 122:

so the transmission power to be unified; $Ps=1.0$. Is corrected to so the transmission power to be unity; $Ps=1.0$.

Page 125:

illustratedin the figure below (Fig. 3.9). Is corrected to can be graphically illustrated in Fig. 3.9.

$\frac{No}{2}={\int}_{-\infty}^{\infty }{\left|{G}_R(f)\right|}^2 df$ is corrected to $\frac{No}{2}{\int}_{-\infty}^{\infty }{\left|{G}_R(f)\right|}^2 df$

Page 136:

This basic configuration in Fig. 3.13 can be adjusted to a situation is corrected to This basic configuration in Fig. 3.12 can be adjusted to a situation.

Page 137:

The configuration in Fig. 3.13 can be made into a pair of standard components is corrected to The configuration in Fig. 3.12 can be made into a pair of standard components

Page 138:

a shape parameter, k, as shown in the above figure (RHS); is corrected to a shape parameter, k, as shown in Fig. 3.14 (RHS);

Page 139:

This LPF design tolerance spec is shown in Fig. 3.16 (LHS) above. Is corrected to This LPF design tolerance spec is shown in Fig. 3.16 (LHS).

Page 149:

With the approximation, we obtain $r(n)\cong a(n){h}_0+a\left(n-1\right){\overline{h}}_1+w(n)$ is corrected to With the approximation, we obtain $r(n)\cong a(n){h}_0+a\left(n-1\right){h}_1+w(n)$

Chapter 4:

Page 214:

Mobile fading channel model has been added

Chapter 5

Page 228:

where${D}^{\left(m+\varepsilon \right)}(pT)=\sum \limits_{l=0}^{N-1}{C}_l(pT)\;{e}^{j\frac{2\pi \cdot l\cdot \left(m+\varepsilon \right)}{N}}$ is corrected to where${\widehat{D}}^{\left(m+\varepsilon \right)}(pT)=\sum \limits_{l=0}^{N-1}{C}_l(pT)\;{e}^{j\frac{2\pi \cdot l\cdot \left(m+\varepsilon \right)}{N}}$.

Page 230:

OFDM symbol boundary discussed in 5.4 above is corrected to OFDM symbol boundary discussed in 5.1.4 above

Page 238:

it is natural to implement ‘windowing’ a filter is corrected to it is natural to implement a ‘windowing’ filter.

Page 239:

OFDM symbol boundary can be recovered by correlation discussed in 5.4. is corrected to OFDM symbol boundary can be recovered by correlation discussed in 5.1.4.

Page 276:

Reference of (Fig. 5.52) has been removed

Chapter 6

Page 280:

then if${\sum}_i\left[{y}_i\right]\&\mathrm{gt};=0$, +1 is decided otherwise corrected to then if ${\sum}_i\left[{y}_i\right]\ge 0$, +1 is decided otherwise

Page 281:

The performance of n=3 repetition code performance with SD and HD is corrected to The performance of n=3 repetition code with SD and HD

Page 298:

Again the event u_j is defined as c₀ and is mistaken as c_j; u_j: c₀➔c_j with $j\ne 0$. Is corrected to Again the event u_j is defined as c₀ is mistaken as c_j; u_j: c₀➔c_j with $j\ne 0$.

Page 299:

we define the event of u_j is defined as c₀ and is mistaken as c_j, is corrected to the event of u_j is defined as c₀ is mistaken as c_j,

Page 302:

With the integration region; R: 1+n₁+1+n₃ &lt;0 and is corrected to With the integration region; R: 1+n₁+1+n₃<0 and

1+n₁+1+n₃ &lt;0 and 1+n₁+1+n₂ &lt;0 and 1+n₂+1+n₃<0, is corrected to 1+n₁+1+n₃<0 and 1+n₁+1+n₂<0 and 1+n₂+1+n₃<0,

Page 305:

…+u_k−1X^k−−1g(X) (6.25) is corrected to …+u_k−1X^k−1g(X)

Page 314:

Reference of (Fig. 6.14) has been removed

Page 321:

Reference of (Fig. 6.15) has been removed

Decoding process in summary: is updated to Decoding process in summary (Fig. 6.15)

Page 330:

D_free is defined as d_free ≡ min is corrected to d_free is defined as d_free ≡ min

Page 336:

As we discussed in Sect. 2.3, is corrected to As we discussed in Sect. 6.2.3

This was discussed in Sect. 3.1.2 using a transfer function. Is corrected to This was discussed in Sect. 6.3.1.2 using a transfer function.

Page 338:

and then use CM decoding discussed in Sect. 2.3.1. Is corrected to and then use CM decoding discussed in Sect. 6.2.3.1.

Page 352:

In particular we look at Fig. 6.35 is corrected to In particular we look at Fig. 6.1

Reference of (Table. 6.16) has been removed

{10, 10, 10, 10, 11, 01, 01, 11, 00} and red bits in error. Is corrected to {10, 10, 10, 10, 11, 01, 01, 11, 00} and red bits in error (see Tables 6.16, 6.17 and 6.18)

Page 357:

Reference of (Table. 6.18). has been removed

Reference of (Table. 6.19). has been removed

Page 371:

Sub section references (4.3.1, 4.3.2, and 4.3.3), has been corrected to (6.4.3.1, 6.4.3.2, and 6.4.3.3),

Page 381:

Theorem 6.1 in Subsection 4.4.2 later is corrected to Theorem 6.1 in Subsection 6.4.5.2 later

Page 387:

connection. Code side = (n, k) = (1944, 972) is corrected to connection. Code size = (n, k) = (1944, 972)

Page 390:

Reference of Sect. 3.3 is corrected to Sect. 6.3.3

Page 395:

Sub section references 3.3.4 has been corrected to 6.3.3.4

${p}_0=1/\left(1+{\mathrm{e}}^{-2r/{\sigma}^2}\right)\kern0.35em {p}_1=1/\left(1+{\mathrm{e}}^{+2r/{\sigma}^2}\right)\kern0.35em \frac{1}{\sigma }=\sqrt{\frac{2E\mathrm{s}}{N\mathrm{o}}}$ is corrected to ${p}_0=1/\left(1+{\mathrm{e}}^{-2r/{\sigma}^2}\right),\kern0.35em {p}_1=1/\left(1+{\mathrm{e}}^{+2r/{\sigma}^2}\right),\kern0.35em \frac{1}{\sigma }=\sqrt{\frac{2E\mathrm{s}}{N\mathrm{o}}}$

Page 396:

Reference of Fig. 6.58 has been removed

Page 398:

Reference of Sect. 5.4 is corrected to Sect. 6.5.4

Page 400:

Reference of Sect. 5.4 is corrected to Sect. 6.5.4

+ 0.5 (if ∣x−y∣1.5) is corrected to + 0.5 (if ∣x−y∣≤1.5)

Page 438:

Section 6.6.3 and 6.6.9 is corrected to Section 6.6.3 and 6.6.5

Chapter 7:

Page 449:

Reference of Sect. 1.4 is corrected to Sect. 7.1.4.3

Page 450:

IEEE std 802.11^TM is corrected to IEEE std 802.11^TM – 2012

Page 464:

Reference Sects. 1.2.1, 1.2.2, and 1.2.3. has been corrected sections 7.1.2.1 to 7.1.2.3.

Chapter 8:

Page 531:

E ➔D ➔C ➔B is corrected to E ➔D ➔C ➔B

Page 533:

and cleaning channel occupancy is corrected to and clean channel occupancy

Page 534:

as in Fig. 8.2 and in Fig. 8.5. In particular is changed to as in Fig. 8.2 and in Fig. 8.4. In particular,

Page 534 and 536:

Reference of Fig. 8.4 has been corrected to Fig. 8.5

Page 545:

Reference of Fig. 8.3 has been corrected to Fig. 8.2

Page 546:

Figure 8.6 is updated as Fig. 8.6

Page 548:

is corrected to

Page 559:

y(0), y(3), y(4), y(5). Is corrected to y(0), y(1), y(2), y(3).

Reference of Fig. 8.36 has been removed

Page 566:

Reference of Fig. 8.19 and 8.20 is corrected to Fig. 8.17

Page 572:

even if assume digital IF is perfect. Is corrected to even if we assume digital IF is perfect.

Page 591:

Reference of Fig. 8.66 has been removed

The figure on the left is a set of frequency is updated to Fig. 8.66 is a set of frequency

Page 594:

clipping as shown on the left figure is corrected to clipping as shown on the above figure

Page 607:

Reference of Fig. 8.33 has been removed

Chapter 9:

Page 620:

Use the identity of ……

$\underset{-\frac{1}{2T}}{\int }$and$\underset{-\frac{1}{2T}}{\int }$ corrected to

Use the identity of ……

${\int}_{-\frac{1}{2T}}^{+\frac{1}{2T}}{e}^{+ j\pi fT+j2\pi ft} df$and${\int}_{-\frac{1}{2T}}^{+\frac{1}{2T}}{e}^{- j\pi fT+j2\pi ft} df$

Page 621 and 622:

B < < f_c is corrected to B ≪ f_c

Page 624:

If it is not clear, Sect. 9.3 updated to If it is not clear, Sect. 9.4

Page 625:

${\sigma}^2=\frac{1}{4}\left({d}^2+{d}^2\right)4=2{d}^2$ for QPSK. ${\sigma}^2=\frac{1}{8}$ (d²) 8 = d²

updated to

${\sigma}^2=\frac{1}{4}\ \left({d}^2+{d}^2\right)4=2{d}^2$for QPSK.

${\sigma}^2=\frac{1}{8}$ (d²) 8 = d² for 8-PSK

Page 629:

H(ej2πf) corrected to H(e^j2πf)