Determine the Time Domain Representation, x(t), of the Frequency Domain signal, X[k], with the following Magnitude and Phase Spectra. (The time domain signal is periodic with a period of 10 milli second)
Added by Laura H.
Close
Step 1
I will proceed under the (reasonable) interpretation of the plots: nonzero lines at k = ±4 with |X[±4]| = 4 and phases ∠X[4] = −π/2, ∠X[−4] = +π/2; and at k = ±9 with |X[±9]| = 9 and phases ∠X[±9] = 0. If these readings are not what you intended, please give the Show more…
Show all steps
Your feedback will help us improve your experience
Linda Winkler and 55 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
A continuous-time periodic signal x(t) is real-valued and has a fundamental period T = 8. The nonzero Fourier series coefficients for x(t) are a1 = 2 and a3 = 4j. Express x(t) in the form x(t) = Σ Ak cos(ωkt + ϕk), k=0 to infinity.
Adi S.
Plot the spectrum of a PAM wave produced by the modulating signal m(t) = Amcos(2πfmt), assuming frequency fm = 0.25 Hz, sampling period Ts = 1 s, and pulse duration T = 0.45 sec.
Supreeta N.
Determine the periodic signals x(n), with fundamental period N = 8, if their Fourier coefficients are given by: (a) ck = cos(k̀/4) + sin(3k̀/4)
Sri K.
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