For each periodic signal shown below, compute its trigonometric Fourier series andsketch its amplitude and phase spectra(a)-20r10m20m0m-T(b)N(b)-8-6m-4m-2T02m4T6m8T

Answered: For each periodic signal shown below,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Consider the function in the figure below. Will its Fourier transform be a purely real function of k, a purely imaginary function of k, or neither purely real nor purely imaginary? Why? 0.4 -0.5 -1.0 -1.5
Sketch the following waveform f(t)= Vo = 0 -t/2≤t≤t/2 otherwise and show that its Fourier transform is F (1) 2sin Varsine ( Votsinc (0) 2 ωτ Use this result to sketch a fully labelled graph of the amplitude spectrum of a single square voltage pulse, of amplitude 24V and pulse width 1.4μs, using units of Hz for the frequency axis. (Note: graph paper is not required - a clear, fully-labelled sketch is adequate).
Find the cosine Fourier coefficients for the function f(x) = 35 cos(3x), on 0Sxs. O A None of these. 140 and an- 35 (-1)+1 (-1)" 2n+3 2n-3 O B.40 =- 37 n=1,2,3,... 140 and an- 70 (-1)+1 (-1)" 2n +3 Oca0 =- 2n-3 n=1,2,3,... 140 and an= 元 70 (-1)*1 2n +3 (-1)" 2n-3 O Da0 =- n = 1,2,3,... %3D 70 (-1)+1 (-1)" 2n-3 2n+3 n= 0,1,2,3,... OE an=
A function f(x) is given by (in the picture). Find the Fourier transform of f(x) with hint (in the picture to)
the second hand of a circular clock exhibits simple harmonic motion if the second hand moves continuosly and displacment of the tip of the hand around the circumference of the clock from its starting position (at 12) is measured. On a specific clock, the motion of the second hand causes maximal displacemement of 6pi inches. The second hand completes one revolution of the clock in 60 seconds. Assume the second hand is at 12 on the clock when you begin the modelling process. Determine the amplitude, frequency and period of the second hand of the clock. Write a mathematical model that decribes displacement in inches of the tip of the hand around the circumference of the clock from its starting position as a function of time in seconds. Sketch a graph of the model exhibiting two periods of motion.
Find Fourier coefficients for 0, 1st, and 2nd components of Fourier expansion for periodic rectangular signal represented in the figure.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

For each periodic signal shown below, compute its trigonometric Fourier series and sketch its amplitude and phase spectra (a) -20r 10m 20m 0m -T (b) N (b) -8 -6m -4m -2T 0 2m 4T 6m 8T