Laplace Transform and Polynomial Roots Quiz

Play an AI-generated podcast conversation about this lesson

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؟

5 ثوانٍ Signup and view all the answers

متى تكون DTFT و ZT متساويتين؟

عندما تكون σ = 0 Signup and view all the answers

ما هو اسم H(s)؟

الدالة النقالة Signup and view all the answers

ما هي الإشارات المتكررة؟

الإشارة التي تكرر نفسها في الزمن Signup and view all the answers

'H(s)' معروف باسم...

الدالة الانتقال Signup and view all the answers

أي من الخيارات التالية هو عملية 'الهجاء'؟

تراكب طيفية Signup and view all the answers

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

The system is causal Signup and view all the answers

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

System is Linear, time-invariant, and causal Signup and view all the answers

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

Poles 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?

Unilateral z-transform Signup and view all the answers

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

Causal signals 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?

-1^n u(n) Signup and view all the answers

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

Zeros 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?

(s-a)F(s-a) 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)?

$x(t)$ is bounded for $t>a$ Signup and view all the answers

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

Linear ordinary differential equations Signup and view all the answers