Q1. A periodic function is represented by a Fourier series that has a finite number of terms. The amplitude and phase spectra are shown in Fig. Q1(a) and (b), respectively. a) Write the expression for the function using the trigonometric form. b) Is the function an even, odd function or half-wave symmetry? c) Calculate the rms value d) Write the exponential form of the Fourier series. e) Using MATLAB, plot the periodic signal. 0.38 0.25 Tiit 0.16 0.11 0.08 0.06 0.05 0w 2π 3m 4m 5m 6m (a) 270⁰ 180° 90° 0 237.8° 90° 258° 90° 262.7° 90° 2п 3п 4п 5п бп (h) @0

Q1. A periodic function is represented by a Fourier series that has a finite number of terms. The amplitude and phase spectra are shown in Fig. Q1(a) and (b), respectively. a) Write the expression for the function using the trigonometric form. b) Is the function an even, odd function or half-wave symmetry? c) Calculate the rms value d) Write the exponential form of the Fourier series. e) Using MATLAB, plot the periodic signal. 0.38 0.25 Tiit 0.16 0.11 0.08 0.06 0.05 0w 2π 3m 4m 5m 6m (a) 270⁰ 180° 90° 0 237.8° 90° 258° 90° 262.7° 90° 2п 3п 4п 5п бп (h) @0

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

Q2: The following signal will pass through unity filter with cut-off frequency 85 KHz, which harmonics would not be filtered by this filter. Use complex Fourier series. If you know that fo = 20 KHz and the amplitude of the signal is 1 volt, and comment of the results. st) -27, T. 27,
A. What is the fundamental frequency (f0) of the wave represented here? B. What is the amplitude of f0 C. What is the frequency of the second harmonic? Amplitude?
Q1: Refer to Fig. 1, Fig. 2 and Fig. 3: a. Find exponential Fourier series and sketch the corresponding spectra of the periodic impulse train &r, (t) shown In Fig.1. b. Find the Fourier transform of the periodic impulse train 87, (t) shown In Fig. 1. c. Refer to Fig. 2, write a mathematical expression for the signal g(t). d. Find the G(f). e. If the spectrum G(f) of the signal g(t) is as shown in Fig. 3, sketch the spectrum of G(f). 87, (t) 1 2 1.5 -1 - 0.5 0.5 1.5 t(µs) → Fig. 1 GS) Multiplier g(t) g(t) -1 1 f (MHz) ST. (t) Fig. 3 Fig. 2
Figure P.2.7-4 2.7-4 For each of the periodic signals shown in Fig. P2.7-4, find the exponential Fourier series and sketch the amplitude and phase spectra. Note any symmetric property. A -π/4 R/4 Var. 2m 1 (d)
Q:: Refer to Fig. 1, Fig. 2 und Fig. 3: a. Find exponential Fourier series and sketch the corresponding spectra of the periodic impulse train &, () shown In Fig.1. b. Find the Fourier transform of the periodie impalse train dr, (t) shown In Fig. 1. c. Refer to Fig. 2, write a mathematical expression for the signal (t). d. Find the G). e. If the spectrum G) of the signal g(t) is as shown in Fig. 3, sketch the spectrum of Gf). 1.5 1 15 Fig. 1 Ma pe g(e) Fig. 3 Fig 2
For the circuit shown below: A. Draw a phasor diagram(use graph paper / engineering paper) to determine RL, XL and XC. B. What is the quality, QL, of the inductor? C. Write an expression for C in terms of XC and source frequency in Hertz, f. Please try in typing format please ASAP
Consider the sinusoidal voltage A. What is the maximum amplitude of the voltage? B. What is the frequency in hertz? C. What is the frequency in radians per second? v(t) = 80 cos (1000nt - 30°) V.
A distorted 1kHz sine wave is represented by the equation: v(t) = 5sin(2π1000t)+0.05sin(2π300t) What is the total harmonic distortion (THD) of this sine wave? Enter your answer as a percen. A signal is composed of the first three non-zero harmonics of a 1V amplitude square wave. What is the THD of the fundamental component due to the other harmonics? Enter your answer as a percent.
Q2: The following signal will pass through unity filter with cut-off frequency 85 KHz, which harmonics would not be filtered by this filter. Use complex Fourier series. If you know that fo = 20 KHz and the amplitude of the signal is 1 volt, and comment of the results. g(t) ... ... -27, -To To 27
A complex voltage waveform which has an rms value of 240V contains 30% third harmonic and 10% fifth harmonic, both of the harmonics being initially in phase with each other. (a) Determine the rms value of the fundamental and each harmonic. (b)Write down an expression to represent the complex voltage waveform if the frequency of the fundamental is 31.83 Hz.
1) For the signals shown in below, a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f). b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f). c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f). d) What is the spectrum of the negative half-sine pulse shown in figure (c) ? Sketch amplitude spectrum of the G(f). e) Find the spectrum of the single sine pulse shown in figure (d). Sketch amplitude spectrum of the G(f). g(t) g(f) -T/4 0 T/4 T/2 (b) g(f) g(t) -T/2 -T/2 0. 0. T/2 -A -A (d)
DETERMINE THE TRIGONOMETRIC FOURIER SERIES OF THE PERIODIC SIGNALS...