Answered: Calculate the Fourier series…

Calculate the Fourier series coefficients of the signals given below. x(t) 2 -5 -3 -2 0 1 3 4 7 9 t (a) 3 4 6 7 (b) -2F x[n] .. -96 12 18 (c) -18 -12

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

15 2 13.26 mH "i" Figure #3 The circuit shown in Figure #3 is supplied by the unfiltered output “v" of a full wave rectifier circuit. The Fourier expression of the voltage is given by: v = 60 + 54. 08Coswt + 11. 18Cos3wt + 5. 22Cos5wt+... If the frequency of the AC input to the rectifier is 60 Hz, determine i. An expression for the current flowing through the circuit ii. The power factor of the circuit.
Give an example of fourier series even function and it's calculation.
"i" i. 159 ii. Figure #3 The circuit shown in Figure #3 is supplied by the unfiltered output "v" of a full wave rectifier circuit. The Fourier expression of the voltage is given by: v = 60 + 54.08Coswt +11.18Cos3wt + 5.22Cos5wt+... 13.26 mH ww If the frequency of the AC input to the rectifier is 60 Hz, determine An expression for the current flowing through the circuit The power factor of the circuit.
Fourier series sine of a periodic sign and sums of the cosine signs written in terms of definable. Mark from this definition; a.) Write the Fourier series expansion. b.) Fourier series coefficients with the trigonometric method how Show that it is calculated. c.) An and bn for odd and even signals both coefficients Should it be calculated? Why is that? d.) An amplitude that lasts 1Volt and 1sec. square wave to Fourier series how many pieces you want to open sine and cosine sign should you use it? Why is that? Explain.
B4
Fourier series sine of a periodic sign and sums of the cosine signs written in terms of definable. Mark from this definition; a. Write the Fourier series expansion. b. Fourier series coefficients with the trigonometric method how Show that it is calculated. c. Moment and bn for single and even signals both coefficients Should it be calculated? Why is that? D. 1volt amplitude and a square wave to Fourier series how many pieces you want to open sine and cosine sign should you use it? Why is that? Explain.
A periodic function is represented by a Fourier series that has afinite number of terms. The amplitude and phase spectra are shown in(a) and (b), respectively. Is the current an even or odd function of t?
Each one bring an one application Example for Fourier Transform?
A. Consider the two signals whose Fourier Series Spectrum as shown below. Assume that the units of frequency are kiloHertz (kHz). Look at the figure in the picture. What is the Fourier Series Spectrum of the product of these two signals? Pick among the choices. ============================================ B. Suppose that a signal cos⁡(2π⋅10t) modulates a cosinusoidal carrier cos⁡(2π⋅250t), and then mixed with another cosine at the same frequency, i.e. y(t)=cos⁡(2π⋅10t)⋅cos⁡(2π⋅250t)⋅cos⁡(2π⋅250t) Which of the following is an equivalent expression for y(t)? Select one: a. cos⁡(2π⋅510t) b. 0.5cos⁡(2π⋅240t)+0.5cos⁡(2π⋅260t) c. 0.5cos⁡(2π⋅250t)+0.25cos⁡(2π⋅240t)+0.25cos⁡(2π⋅260t) d. 0.5cos⁡(2π⋅10t)+0.25cos⁡(2π⋅490t)+0.25cos⁡(2π⋅510t)
2) Spectrum analyzer is an essential instrument for measuring a digital signal in any experiment implementation. It is used to measure a digital signal that contains of Fourier series expansion sine and cosine terms to produce the Fourier coefficients foms. Normally, the output voltage amplitude is captured from the instrument which displays the time-domain signal. By using spectrum analyzer, the noise can be easily detected hence it can be eliminated by using Inverse Fourier mathematical form. In the spectrum analyzer, determine the discrete Fourier series as the periodic sequences is detected as expressed below; 2m n+ sin (6n x[n] = cos n+- 2 cos -n+ + 4 sin
The single phase half-wave uncontrolled rectifier has a freewheeling diode and a ripple free average load current of 20A (high inductance). The source is 220V 50HZ. а. Draw the waveforms for the currents in D and DFW b. Express the source current in Fourier series and draw the first five components and their sum. Determine the input PF and HF (THD) of the source current at the rectifier input с.
Signals and Systems The Fourier sequence coefficients for the signal x [n], which is N of the period, are ak. (The graph of x [n] 'is in images.) Calculate the Fourier sequence coefficients of the given statement in terms of ak.