Determine the signals as energy signal or power signal or neither energy nor power signal. (a) x(t) = e^{-at}u(t), a > 0 (b) x(t) = A cos(?0t + ?) (c) x(t) = tu(t). (d) x[n] = (-0.5)^n u[n]
Added by Anthony M.
Close
Step 1
Energy: E = ā«|x(t)|^2 dt from 0 to infinity E = ā«|e^(-at)u(t)|^2 dt from 0 to infinity E = ā«e^(-2at) dt from 0 to infinity E = 1/2a Since the energy is finite, this signal is an energy signal. Power: P = lim T->infinity (1/T) ā«|x(t)|^2 dt from 0 to T P = lim Show moreā¦
Show all steps
Your feedback will help us improve your experience
Cyra Jelle Calleja and 95 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Determine the signals: is it an energy signal, power signal, or neither energy nor power signal? (a) x(t) = e^(-at)u(t), a > 0 (b) x(t) = t*u(t) (c) x(t) = Acos(Ćā°t + Ćā ) (d) x[n] = (-0.5)^n*u[n]
Adi S.
Problem 5: Determine if each of the following signals is a power signal, an energy signal, or neither. x1(t) = 3[u(t+2)-u(t-2)] x2(t) = 2[r(t)-r(t-2)] x3(t) = e^(-2t)u(t) x4(t) = [tcos(3t)]u(t) x5(t) = 2sin(4t)cos(4t)
Determine whether the following signals are power signals, energy signals or neither. Justify your answer. {A, a, and b are positive real constants.} a. x(t) = A sin t b. x(t) = A [u(t-a) - u(t + a)] c. x(t) = r(t) - r(t-1) d. x(t) = e-a t u(t) e. x(t) = t u(t) f. x(t) = u(t) g. x(t) = A exp(b t)
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD