gnal, arl i1 periishe And s periml, and iis1 Energy o paa er signal, and find the nergy on averagl power of italegonice the ga shan n East *Exes CAN wgal2- Pere or usw peeangaia frequyFigure IA- Find the Fourier transfom of the signal shown in figure 2.Figure 2B- Write true or false for the following:1- The Fourier transform of 58(t) is 52- x(t), h(t), and y(t) represent input, impulse response, and output of aSystem Using a Laplace transform, the relation between them is givenas. Y(s) 2((s)/ X(s)).3- The signal x(n) 4n' is an even signal.A- Find the Laplace transform of x(t)- 3u(t) + e"u(t).B-Find the Z- transform of x(n) 3" u(n)- 4.2 6(n)C. Write the cquations of the frequency response |H(w)| of the idealbandpass and highpass filters with drawings

Answered: Image /qna-images/answer/bd2b3031-b76a-40fa-bc34-dae0c5b6d1e0.jpg

Answered: ind the Fourier transform of the signal…

Engineering

Electrical Engineering

ind the Fourier transform of the signal shown in figure 2. Figure 2 2.

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

a) Make a plot of the normalized fft magnitude as a function of frequency (real frequency in Hz). Only display the frequency range between -1kHz and 1kHz. b) On the same figure as part (c), superimpose the magnitude of the Fourier series coefficients, |??|, as a function of frequency as a stem plot. Again, only display the frequency range between -1kHz and 1kHz. How well do they compare? Hint*: Consider making a frequency vector containing only the Fourier harmonic frequencie
Transcribed image text: Q1. Define Fourier Series. Find the Fourier sine series of the function obtained by passing the voltage v(t) = V, sin(kkkπt) through a half-wave rectifier that clips the negative half-waves.
Consider two discrete signals x1[k] and x2[k]. Let x1[k]; x2[k] be periodic signals with periods N,M respectively. Define y[k] = x1[k] + x2[k]. a) Show that y[k] is periodic with N M. b) Let Fourier coefficients of x1[k] and x2[k] be ak, bk respectively. Find Fourier coefficients ck of y[k] in terms of ak and bk.
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. 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)
Q2 Note: You are only allowed to use the Fourier transform of ?(?) above. No other Fouriertransform pairs can be used.
Find ϕLSB (t) and ϕUSB (t) for the modulating signal m(t) = πBsinc2 (2πBt) with B = 2000 Hzand carrier frequency fc = 10, 000 Hz. Follow these steps:(a) Sketch spectra of m(t) and the corresponding DSB-SC signal 2m(t) cos ωct.(b) To find the LSB spectrum, suppress the USB in the DSB-SC spectrum found in part (a).(c) Find the LSB signal ϕLSB (t), which is the inverse Fourier transform of the LSB spectrumfound in part (b). Follow a similar procedure to also find ϕUSB(t)
find Fourier image for given function - (F(jω))
A dc-dc converter is built so that Vout(t) = q1Vin(t). The switch operates at 50 kHz withduty ratio of 50 %. This output voltage is applied to the input of a simple one-polelow-pass filter with a corner frequency at 500 Hz. What is the Fourier series of thesignal at the filter output?
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.
The single phase half-wave uncontrolled rectifier has a freewheeling diode and a ripple free averageload current of 20A (high inductance). The source is 220V 50Hz.a. Draw the waveforms for the currents in the rectifying diode and freewheeling diodeb. Express the source current in Fourier series and draw the first five components andtheir sum.c. Determine the input PF and HF (THD) of the source current at the rectifier input
Given that the trigonometric Fourier expression is given below, what is the value of bn for n=2?