5- Find the trigonometric fourier serie for the given signal ?x(t)10-5 -40 156sinnw, – 11-Cosno1sinnwot)a) O x(t) = 2 + 4cos nw,t + [-nwonwo08.sinnwocosnw, + 1b)x(t) = 2+4cos nw,t +Jsinnw,t)nwonwosinnw,cosnwo,x(t) = 2 +4cos nwot + [-Isinnw,t)nwonwosinnw.|d) x(t) =2+4cos nwot + []sinnw,t)nwosinnw.sinnwoe) O x(t) = 2+4cos nwot +cosnwot)nwonwo1.sinnw, + 1cosnw, - 1f)x(t) = 2 + 4cos nwot + [-Jsinnw,t)%3DBoş bırak

Answered: 5- Find the trigonometric fourier serie…

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...

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Similar questions

1.Given i(t)=2|sint|, determine the period, To, and the angular frequency, ωo of the signal shown in Figure Q1.1.2.Determine if the signal in Figure Q1.1 is odd or even. Explain your answer. 3.Derive the trigonometric Fourier series for the current, i(t) shown in FigureQ1.1.
Derive the following using the formula below of the Fourier Series, An, Bn and Ao. Find such that An = -4/(pin)^2 and Bn = 0, and Ao = 1/2
A power signal depending on time t is written P (t) = P0cos (ωt) cos (ωt), with P0 in watts (W) and t in s (seconds). What are the amplitudes of the non-zero harmonics in the real Fourier spectrum of this signal (i.e. corresponding to the amplitudes an and bn)?Please choose at least one answer:.
For the given signal below f(t) = 2 + 6cos100*pi*t + 6cos150*pi*t+10sin200*pi*t +10sin250*pi*t A) Prove the given signal is periodic by finding wo and Trigonometric Fourier Series Coefficients (a0, an’s and bn’s) B) What is the average value of the signal for the range of 0 ≤t≤ To? (To: Period) C) Find the magnitude and phase of the 3rd D) Find the power of the signal.
Determine the Fourier series coefficients for the three periodic sequences shown in Figures P10.3-1 to P10.3-3. Since these three sequences all have the same nonzero values over one period, we suggest that you first determine an expression for the envelope of the Fourier series coefficients and then sample this envelope at the appropriate spacings in each case.
Find the Fourier series representation of the even extension of the function Then, find the value of an if c = 3.95, b = 4, n = 6.
Answer the following four questions according to the following signal below: 1)the frequency of the signal? 2)the period of the signal? 3)frequencies exists in the frequency spectrum of signal? 4)expressions of the Fourier series expansion of this signal?
Q1. (a) Given i(t)=2|sint|, determine the period, To, and the angular frequency, ωo of the signal shown in Figure Q1.1.(b) Determine if the signal in Figure Q1.1 is odd or even. Explain your answer.(c) Derive the trigonometric Fourier series for the current, i(t) shown in Figure.
Find the Continuous-Time Fourier Series coefficients for the following continuous-time signal: ?(?) = ? 0 < ? < 4 with a fundamental period of ? = 4
The discrete time periodic signal x(n)={2,1,-4,2} has the Fourier coefficients given as ck=(c-8,c-7,c-6,6-j,c-4,c-3,-5,c-1,c0,c1,-5,6-j) .Find the missing coefficients and plot its magnitude spectrum for -8≤k≤3.
There is a ON & OFF blinking of the LED light in a traffic light which is being controlled by the switching function below:LED Switch ON time:One second at a repeated time.LED Switch off time:Three seconds between the ON times.a. Make a sketch of the signal & an expression for the blinking operation.b. Determine the Fourier coefficient i.e frequency spectra of the signal c.At time t=1,amplitude= -1, At time t=0.5,amplitude= IV, At t=-0.5,amplitude=IV, & At time t=-1,amplitude=-IV. Above is the characteristics of a voltage signal which has unity amplitude & width from a Temperature Sensor. Make a sketch of the waveform & determine the Fourier coefficients of the signal.
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.

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