Laplace Transform and Polynomial Roots Quiz
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Questions and Answers

ما هو الشكل الكامل لنظام LTI؟

  • نظام الخطي المتغير مع الزمن
  • نظام الانعكاس الزمني الخطي
  • نظام الانعكاس في الوقت المتأخر (correct)
  • نظام الخطية المتغيرة مع الزمن
  • كيف يُمثل التكامل التبادلي للإشارات؟

  • x(t)*h(t) (correct)
  • x(t)**h(t)
  • x(t)+h(t)
  • x(t)-h(t)
  • ما هو مصفوفة Z لـ δ(n+3)؟

  • 1
  • z^2
  • z^3
  • z (correct)
  • ما هو مفهوم التردد نيكويست؟

    <p>5 ثوانٍ</p> Signup and view all the answers

    متى تكون DTFT و ZT متساويتين؟

    <p>عندما تكون σ = 0</p> Signup and view all the answers

    ما هو اسم H(s)؟

    <p>الدالة النقالة</p> Signup and view all the answers

    ما هي الإشارات المتكررة؟

    <p>الإشارة التي تكرر نفسها في الزمن</p> Signup and view all the answers

    'H(s)' معروف باسم...

    <p>الدالة الانتقال</p> Signup and view all the answers

    أي من الخيارات التالية هو عملية 'الهجاء'؟

    <p>تراكب طيفية</p> Signup and view all the answers

    Is the system described by y[n] = x[n-1] – x[n-56] causal?

    <p>The system is causal</p> Signup and view all the answers

    For the system y(t) = x(t-5) – x(3-t), which of the following holds true?

    <p>System is Linear, time-invariant, and causal</p> Signup and view all the answers

    What are the values of z for which the value of X(z) = ∞?

    <p>Poles</p> Signup and view all the answers

    The z-transform of a signal x(n) with X(z) = ∑∞n=0x(n)z^-n is known as what type of transform?

    <p>Unilateral z-transform</p> Signup and view all the answers

    For what kind of signals is the one-sided z-transform unique?

    <p>Causal signals</p> Signup and view all the answers

    What is the inverse z-transform of X(z) = 1 if the Region of Convergence (ROC) is |z| > 1?

    <p>-1^n u(n)</p> Signup and view all the answers

    What are the values of z for which the value of X(z) = 0?

    <p>Zeros</p> Signup and view all the answers

    Which type of Laplace transform property states that if f(t) has Laplace transform F(s), then e^(at)f(t) has Laplace transform?

    <p>(s-a)F(s-a)</p> Signup and view all the answers

    For a function x(t), if its Laplace transform F(s) exists for Re(s) > a, then it implies what about x(t)?

    <p>$x(t)$ is bounded for $t&gt;a$</p> Signup and view all the answers

    The Fourier series solution methods are used to solve which type of differential equations?

    <p>Linear ordinary differential equations</p> Signup and view all the answers

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