1 - 1{El 1111 11m is the f and discrete time till 1stem...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1* {El 1111, 11m] is the f and discrete time till 1stem output consis, o-input response. ___E incrementally line. inearly to changesii. any two inputs to .111 eons) function of _ are two inputs to E1: .-.i [responding outpuf, :1[11]} . (1.13.“ :o continuous-ti 1111.. ive picture of w__=_1. representation f11. ly, we introducivz' PEiPI'emutations-121511 red and examin-‘r- :se included co 11:1. 1functions. In it“ and discrete-ti;_.f1_,1i'ii 1 introduced 5 systems, and -_-1;1;1 ity, stability, 11' 11;: 1ar, tirne—invari'n stems play a he fact that 1 11d time invari linearity and tire-1. Chap. 1 1.} ( ® [@11 Problems Basic problems emphasize the mechanics of using concepts and methods in a man- ner similar to that illustrated in the examples that are solved in the text. Advanced problems explore and elaborate upon the foundations and practical im— plications of the textual material. . The first section of problems belongs to the basic category, and the answers are pro- vided in the back of the book. The next two sections contain problems belonging to the basic and advanced categories, respectively. A final section, Mathematical Review, pro— vides practice problems on the fundamental ideas of complex arithmetic and algebra. o+rfit a1mm=wxwm (oxms=drum (a :1:[11 - 3] “(é x[*n + 2] (a) x(1 — r) ('1) M31?) BASIC PROBLEMS WITH ANSWERS @ x201) : gjl2t+1irl4ji (e) lefll : ej(srl2n+w1’8) (C) xlnn] 1.2.- Express each of the following complex numbers in polar form (reifi, with —sr < 19 E 11')15.—2.—3.1. E - 17E 1 +J1(1‘“J)21 10:1?) (1.f_i_)_[(1_~—1).-(_\/§ + Jfiy 1.3. Determine the values of P111 and E111 for each of the following signals: (1;) 1:30?) = 1:050?) (”5) win] = 008$”) QM= Let x[a] be a signal with x[r1] = 0 for a < —2 and n :21 4. For each signal given . ' below, determine the values of 111 for which it is guaranteed to be zero. (1)) x[n + 4] (e) Il—H _ 2] ._ kLet .110) be a signal with x0) = 0 for r «I. 3. For each signal given below, determine \J the values of t for which it is guaranteed to be zero. (b) x(1 — I) + x(2 -— r) fir?) x(t/ 3) ermine whether or not each of the following signals is periodic: x10“) 2 Zeiii+Wi4)a(t) @3-‘1131111 = ::=_,{5[11 — 4k] _ am — 1 — 411]} 1.7. For each signal given below, determine all the values of the independent variable at (c) in — 11142 — 1) (prpmrzan+uhn N. xx / x, __ which the even part of the signal is guaranteed to be zero. (3) Min] = 11[11] — .ulfl _ 4] . sammi=eran—n 1.8. Express the real part of each of the following signals in the form Arr—iii cos(wt + d1), (11) 212(1) = SM?) ((1) 111(1) = (5:110:41 2) where A, a, to, and (i: are real numbers with A > Gland —qr < qb E qr: (11) 112(1) : flew“ 1103(3): + 2111) (a) J1310') = “2 - ((1) x30“) = e‘isin(3t + a") - @ Determine whether or not each of the following signals is periodic. If a signal is periodiis, specify its fundamen .eam=jwm (fl‘i x11[r1] = 3ej3filn+li2)i5 tal period. ‘bi I : (_l‘i‘j)! ((123 gig] =€38j3lfiln+li21 (d) 364(3) = je(—2+j100}r ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern