2. page 13*, righthand column, last line of text, change 3 to 2,... negative slope of 2 for 1 < t 2: Now... REFLECTOR MITTER. (0, d t ) (d r, d t )

Transcription

1 SP First ERRATA. These are mostly typos, but there are a few crucial mistakes in formulas. Underline is not used in the book, so I ve used it to denote changes. JHMcClellan, February 3, 00. page 0*, Figure -4, last line of text in figure: H) x D r cos./. page 3*, righthand column, last line of text, change 3 to,... negative slope of for < t : Now page 34*, Figure -, The diagram of the original figure does not correspond to the equations given p in the problem. The general formula for the distance off the reflector, d, is d D d r C.x d r / C dt. The figure should be replaced with the one below: y TRANS- REFLECTOR MITTER (0, d t ) (d r, d t ) Velocity = c 0 VEHICLE x 4. page 4, (bottom left), The CDROM citation should read: LAB: #3 AM and FM Sinusoidal Signals 5. page 44*, nd line, left hand column, change the sentence to read: Since T 0 D =f 0 is the smallest possible period, it is also the fundamental period. 6. page 49, equation (3.5) Orthogonality Property 7. page 53, (nd line of equations for a k ), denominator should be: j.=t 0 /k, so we would have D T 0 e j.=t0/k. T 0/ j.=t 0 /k e j.=t 0/k.0/ 8. page 56, nd line of equation(3.37), exponent in exponential needs changing, should be: e j.=t0/kt. The entire line should read: C T 0 Z T 0 T 0..T 0 t/=t 0 /e j.=t 0/kt dt 9. page 63, righthand column, line 8, (insert a space)...signals, such as a Touch-Tone phone.

2 0. page 78, righthand column, 7 lines below equation (4.) should read:...arbitrary, but the ideal D-to-C converter always selects.... page 83, The CDROM citation should read: LAB: #3 Chirp Synthesis from Chapter 3. page 9, The CDROM citation should read: DEMO: Reconstruction Movies 3. page, The CDROM citation should read: LAB: #6 Digital Images: A/D and D/A 4. page 3*, The convolution table has a notation problem. h Œn and h Œn are swapped and we should have written h Œk h Œn k. Also, in the equation above the table, we should write: yœn D h Œn h Œn. n n < n > 6 h Œn h Œn 0 0 h Œ0 h Œn h Œ h Œn h Œ h Œn h Œ3 h Œn page 6, The CDROM citation should read: LAB: #7 Sampling, Convolution, and FIR Filtering hœn page 3, 3rd line of Example 6-, Missing =3 which should be colored.... and H.e j=3 / D =3: 7. page 33, righthand column, nd line, algebraic steps in (6.6) show that yœn can finally be expressed as a cosine signal. 8. page 53, righthand column, middle, dsty in the middle of the equation should be deleted. H.e j.50/=000 / D sin..50/./=000/ sin..50/=000/ D 0:0909e j= e j.50/.5/= page 56, (bottom right), The CDROM citation should read: LAB: #9 Encoding and Decoding Touch-Tones 0. page 74, Exercise 7.6, equation for wœn should have minus sign instead of plus: wœn D xœn xœn

3 . page 76, The CDROM citation should read: DEMO: Three Domains - FIR. page 8, first paragraph of Section 7-7 should read: Now we can exploit our new knowledge to design filters with desirable characteristics. In this section, we will look at a special class of bandpass filters (BPFs) that are all close relatives of the running-sum filter. 3. page 9, Figure P-7.6(b), output (above the arrow on the far right) should be wœn, not yœn. 4. page 95, in Problem P-7.7, part (a). The exponent has two extra parentheses that should be deleted; the exponent should be: H.e j O! j= j O! / D Œb 0 sin. O!/ C b sin. O!/ e 5. page 9*, Example 8- (caption), Example 8-: Long Division 6. page 4*, in Problems P-8.3 and P-8.4, S 6 is wrong. The upper limit on the summation needs to be 3, not ; otherwise, no match is possible. S 6 W yœn D 3X kd0 xœn k 7. page 4, Problem P-8.7,...five possible impulse responses (J N). 8. page 50*, Figure 9-5 (caption), Scaled unit-impulse signal is symbolized page 64, Figure 9-3(a), Label on y-axis contains a gamma, should be: x./ 30. page 64, Figure 9-3(b), Label on y-axis appears to have a light gray vertical bar after the equals sign. This is only visible in the PDF file. Should be: g./ D x. / 3. page 95, The CDROM citation should read: LAB: #3 Numerical Evaluation of Fourier Series 3. page 96, line beneath Fig. 0-6 should read: which we can rewrite as y.t/ D page 30, The CDROM citation should read: LAB: #5 Fourier Series (Ch. ) 34. page 3*, The following derivation should be written on two lines instead of three; otherwise, the equals sign is ambiguous. jx.j!/j D Z Z x.t/e j!t dt x.t/e j!t dt D Z jx.t/jdt

4 35. page 39*, line 8, righthand column, (insert comma) necessary condition, for having a Fourier transform. 36. page 36, line, righthand column,...we showed in (0.3) page 39*, equation in righthand column is missing T, y.t/ D x.t/ h.t/ D Z T sin.!t =/.!T =/ e j!t d! or T could be removed from the denominator and it could be written as: y.t/ D x.t/ h.t/ D Z sin.!t =/.!=/! e j!t d! 38. page 349*, Figure P-.4(b), input signal to first block should be x.t/, instead of xœn 39. page 35, line, righthand column, remove the words filtersfrequency selective so that it reads:... frequency selective filters. In this section, page 354*, Figure -9, nd line of caption, (subscript not italic)...to give the output signal y lp.t/. 4. page 355, The CDROM citation should read: LAB: #4 Design with Fourier Series 4. page 364, Figure -0, misspelled word inside the first block: Half-Wave Rectifier 43. page 368*, equation (.40), second line is missing n; it should be: D x.t/ X nd.t nt s / 44. page 369*, Example -5, first equation is missing a k inside the function: X P.j!/ D.! k! s / T s kd 45. page 379, Figure -35(d), the rightmost label contains an extraneous ; should be 46. page 38*, Problem P-. has! co and! co switched, because the natural assumption is that! co is the lower passband cutoff frequency, while! co is the upper one. Thus, the natural assumption is that! co <! co. To correct this equation (.76) should be changed to: h bp.t/ D sin.! cot/ t sin.! co t/ t

5 47. page 383*, Problem P-.7 part (c), change minus sign to plus sign: w.t/ D x.t/œ C cos.! c t/ ::: 48. page 383, Figure P-.8, inside block (bad spacing) LTI System 49. page 384, Figure P-.9, inside block (bad spacing) LTI System 50. page 385, Figure P-.(a), change summation index to k in the definition of p.t/: p.t/ D X kd a k e jk! pt 5. page 386, Problem P-.3, change to =T s in the definition of H r.j!/: ( T H r.j!/ D s j!j =T s 0 j!j > =T s 5. page 387, Figure P-.5(b), change 4 to in the definition of the passband of H.e j O! /. 53. page 39, before equation (3.8), lefthand column, (insert space)...equation (.6) on p. 376, that the DTFT of page 40, top, lefthand column, section title should be: 3-8. Spectrograms in MATLAB 55. page 43*, Figure 3-0, Label on x-axis should be (sec) not (msec): Time (sec) 56. page 44*, Figure 3-, Label on x-axis should be (sec) not (msec): Time (sec) 57. page 44*, Figure 3-3, Label on x-axis should be (sec) not (msec): Time (sec) 58. page 438*, Figure A-3 (caption), For the vectors shown, jz j > and jz 3 j <. 59. page 449, lefthand column, line 6, in MATLAB code for for function foo: Missing a comment sign (%) sign before the x = input vector statement. % x = input vector 60. page 460, top line, lefthand column, Use the built-in MATLAB editor, or an external one... Optional:

6 . page 6, The suggested change in wording was not made: Change LAB: #, Adding Sinusoids and Complex Amplitudes to LAB: # Introduction to Complex Exponentials. Note: this change was made correctly on page 3.. page 46, The CDROM citation should read: DEMO: Spectrograms: Simple Sounds: Square Wave 3. page 68, Problem P-3.5 (b), top of the right hand column. It would make a better problem to define y.t/ as x.t T 0 =4/ because then the shifted square wave has its jumps at t D 0 and t D T 0 = like the example worked out in Section page 38, in Problems P-. and P-.3 it should be stated that! co <! co. 5. page 46, The CDROM citation should read: DEMO: Ch 3, Spectrograms CD-ROM Errata:. Exercise., p. 4 in the text: Derive the equations for the shifted signal x.t/ D s.t C /. seems to point to a similar but different shifted triangular-signal on the SPFirst CD and also on the website. Fig. -8(c) in the book shows the correct signal for s.t C /, but the answer to Exercise., on CD and website, points to a.pdf file showing a different signal (base of 3-units instead of ) with different slopes (m D and m D = instead of m D and m D =3) and having a different final equation when solving for s.t C /.. Exercise 3.8 solution is wrong because the k D 3 term was evaluated incorrectly. The last two lines should be: x N.t/ D D ej 50t e j 50t 3 ej50t 3 e j50t 4 cos.50t/ 4 9 cos.50t/ 3. Exercise 7.6 solution was not consistent with the printed version (st and nd printing) of the text. However, the error is with the text, so the solution is not changed.