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This is just one question I need it to be answered correctly and as soon as poss

ID: 3785335 • Letter: T

Question

This is just one question I need it to be answered correctly and as soon as possible.

First part is the given codes, the second part is the problem queswtions.

Homework 5 Fig. 2.8 of the textbook. The second part of the program reconstructs x3 from the first 81 Fourier terms (DC, n 1 40 for both sine and cosine terms). By comparing the reconstructed x3 with the original x3 shown in Fig. 2.7, one can judge the correctness of the answer of Part 1. Study this program, enter it in MATLAB and run it. Nothing needs to be turned in for this problem. clear all Part 1: Calculate the first 41 Cn of three signals For x1 (t) 0.5 for n 3- 1: 40 n 27tf n 2T/T 0.5*n*R n 0.5 n pi an sin (nw) /nw nw) /nw bn 1-cos c (n-1 sqrt (an 2 bn 2); end For x2 (t) d (1 0.25 for n 40 0.5*n*p. nW an sin (nw) /nw (cos (nw) 1) /nwn 2 bn sin (nw) /n 2 cos (nw) /nw w d (n-1) sqrt (an 2 bn 2) end. SFor x3 (t) e (1 0.318 for n 1:40 nw 0.5* n*pi pl pi In p2 n pl. Avoid the problem of dividing by zero if p2 an (n) 5* (1-cos (pl) /pl 0.5* (1-sin (pl /pl bn else an (n) 0.5* 1-cos (pl)) /pl 1-cos (p2) /p2) bn (n) 0.5 sin (p2) /p2 sin (pl) /pl end e (n+1) sqrt (an (n 2 bn (n 2); end 25* 0 40 subplot (3,1 1) stem (f c, Linewidth 2, Marker Size 0) subplot (3,1,2 stem (f d, Linewidth 2, Marker Size subplot (3,1, 3 stem (f e, Linewidth 2, Marker Size 0) xlabel Frequency in Hz s Part 2 Reconstruct x3 using the first 81 Fourier terms disp Press ENTER to continue pause

Explanation / Answer

The trigonometric Fourier series representation is x(t)

expressed in terms of summation of ao,ancosnwt,bnsinnwt

w=2pi/T where T is fundamental period and an,bn are fourier

coefficients.

The trigonometric Fourier series representation is x(t)

expressed in terms of summation of ao,ancosnwt,bnsinnwt

w=2pi/T where T is fundamental period and an,bn are fourier

coefficients.

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