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 (B)</p> Signup and view all the answers

متى تكون DTFT و ZT متساويتين؟

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

ما هو اسم H(s)؟

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

ما هي الإشارات المتكررة؟

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

'H(s)' معروف باسم...

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

أي من الخيارات التالية هو عملية 'الهجاء'؟

<p>تراكب طيفية (C)</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 (C)</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 (A)</p> Signup and view all the answers

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

<p>Poles (A)</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 (B)</p> Signup and view all the answers

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

<p>Causal signals (A)</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) (B)</p> Signup and view all the answers

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

<p>Zeros (C)</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) (D)</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 $t&gt;a$ (D)</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 (D)</p> Signup and view all the answers

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