Fourier Transform... Reference material: Gabel and Roberts \"Signals and Systems

Question

Fourier Transform... Reference material: Gabel and Roberts "Signals and Systems" 2/e or 3/e chapter 5 Consider the signal x(t), which consists of a single rectangular pulse of unit height, is symmetric about the origin, and has a total width T1. Sketch x(t). Sketch x(t), which is a periodic repetition of x(t) with period T0 = 3T1/2. Compute X(omega), the Fourier transform of x(t). Sketch |X(omega)| for |omega| 6pi/T1. Compute ak, the Fourier series coefficients of x~(t). Sketch ak for k = 0, plusminus1, plusminus2, plusminus3. Using your answers to (c) and (d), verify that, for this example, ak = 1 / T0 X(omega) | - (2pik)/T0 Write a statement that indicates how the Fourier series for a periodic function can be obtained if the Fourier transform of one period of this periodic function is given.

Explanation / Answer

you are not allowed to ask so many questions in a single post pls split them in multiple posts thanks

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.