Question 2 The complex Fourier series coefficients of a Discrete-Time periodic signal x[n], with period N = 8, is given below. Find the periodic signal x[n] using the Fourier series synthesis equation. Express x[n] with sinusoidal functions after the expansion. 1+j k = -1 2 1, k = 0 ak = k = 1 0 , k = -3, -2, 2, 3, 4 Supplementary: Trigonometric Identity: ejx +e-jx ejx -e-jx cos(x) sin(x) : 2 2j

Question 2 The complex Fourier series coefficients of a Discrete-Time periodic signal x[n], with period N = 8, is given below. Find the periodic signal x[n] using the Fourier series synthesis equation. Express x[n] with sinusoidal functions after the expansion. 1+j k = -1 2 1, k = 0 ak = k = 1 0 , k = -3, -2, 2, 3, 4 Supplementary: Trigonometric Identity: ejx +e-jx ejx -e-jx cos(x) sin(x) : 2 2j

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

Hello. I keep getting confused on this problem as I am new to Fourier series. Could you help me to solve this probelm? Thank you for your time and help.
According to Fourier analysis, which of the following can be said for the square wave? It consists of basic sine wave and double harmonics Olt consists of fundamental and sub-harmonic sine wave O It consists of basic sinūs wave and single harmonics Olt consists of basic sinūs wave and harmonics
Fourier theory states that any sinusoidal signal may be represented or analyzed as the sum of a fundamental sine wave at the signal frequency plus odd, even, or odd plus even nonharmonic sine waves of different phases and amplitudes. True False
Find the trigonometric Fourier-series representations of the signals shown in Figure d and g
Find the complex Fourier series expansion and plot the Fourier spectrum according to the complex Fourier series expansion?
dont use complex fourier sieries method solve in fourier only For the periodic signal f (t) shown, find the Fourier series up to 3rd harmonic. At) -6 -2 И 24 6
Determine the coefficients for the pulse train having a duty cycle of 0.5 and amplitude of 1 V and period of 2 s. Find the amplitudes of the fundamental frequency and the following six harmonics, i.e., n = 1,2, ... 7. Sketch the pulse train as an even function, then determine the Fourier series expansion. Repeat the procedure with the pulse train sketched as an odd function. Duty Cycle, D = Pulse Width Period PW = 0.5 x 2 = 1 PW T
- Define Fourier Series. Discuss an application of Fourier series. - What is the difference between odd and even function? Explain with example. -Obtain the Fourier coefficients of first four harmonics of the following periodic function: Assume any value for A, T1 and T2. SO A A -T2 -T1 0 T1 T2
•Find Fourier series for the following signal, then Sketch the amplitude and phase spectrum up to 3rd harmonic. f(t) -2 -4 2 4 68 I need a clear answer by hand, not by keyboard and fast answer within 20 minutes. Thank you | dybala
Q8/ The Fourier Transform for the following function shown in Figure (2) is --? -4 4 a) 2 sinc(4w) b) 4 sinc(4w) c) 16 sinc(4w) d) 32 sinc(4w)
Help appreciated with this Fourier series waveform. Thanks
H.W: Calculate the Fourier series for the waveform -16 n² π² Ans. ao 1 & an=" 0 -2π & an= -TT H.W: Calculate the Fourier series for the waveform 2π² - Ans. a, = 4(-1)" n² 3 TT 2π ^f(t) ABA sint at n = odd at n = even 2π ↑f(t) 2π AM NA 11 (1) = 1² f(t)₁ 4π² -2π MAKA sss. -2π -T -2n-it -2π-n -3 -2π 2π ہلے f(t) cos t AKA 3 4π