Question

%Homework 2, Problem 2, 4.25(b) clc; clear all; close all; \Sigma_{}xmEt W; %symbolic variables t:time, w:frequency x(t)=1+piecewise(t<-1,_{-},-1<=t<=0,_{-},0<t<=1,_{-},1<t<=2,_{-},2<t<=3, 1,t>3,_{-}); %<-complete blanks in red first before running code. %PART b X= int(x,-1,3); disp('4.25 Part b, X=') Show completed MATLAB code above + copy/paste result from the Command window: Solve 4.25 (c) two different ways: i. by hand -Using this equation: $x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty} X(j\omega)e^{j\omega t} d\omega$ -Find x(0) from graph and plug it in answer: $x(0) = \frac{1}{2\pi} \int_{-\infty}^{\infty} X(j\omega)d\omega$ or $\int_{-\infty}^{\infty} X(j\omega)d\omega = 2\pi x(0)$ -Type answer below: Answer: _______ ?

          %Homework 2, Problem 2, 4.25(b)
clc; clear all; close all;
\Sigma_{}xmEt W; %symbolic variables t:time, w:frequency
x(t)=1+piecewise(t<-1,_{-},-1<=t<=0,_{-},0<t<=1,_{-},1<t<=2,_{-},2<t<=3, 1,t>3,_{-});
%<-complete blanks in red first before running code.
%PART b
X= int(x,-1,3);
disp('4.25 Part b, X=')
Show completed MATLAB code above + copy/paste result from the Command window:
Solve 4.25 (c) two different ways:
i. by hand
-Using this equation:
$x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty} X(j\omega)e^{j\omega t} d\omega$
-Find x(0) from graph and plug it in answer:
$x(0) = \frac{1}{2\pi} \int_{-\infty}^{\infty} X(j\omega)d\omega$ or $\int_{-\infty}^{\infty} X(j\omega)d\omega = 2\pi x(0)$
-Type answer below:
Answer: _______ ?

%Homework 2, Problem 2, 4.25(b)
clc; clear all; close all;
ΣxmEt W; %symbolic variables t:time, w:frequency
x(t)=1+piecewise(t<-1,-,-1<=t<=0,-,0<t<=1,-,1<t<=2,-,2<t<=3, 1,t>3,-);
%<-complete blanks in red first before running code.
%PART b
X= int(x,-1,3);
disp('4.25 Part b, X=')
Show completed MATLAB code above + copy/paste result from the Command window:
Solve 4.25 (c) two different ways:
i. by hand
-Using this equation:
x(t) = (1)/(2π)∫-∞^∞ X(jω)e^jω t dω
-Find x(0) from graph and plug it in answer:
x(0) = (1)/(2π)∫-∞^∞ X(jω)dω or ∫-∞^∞ X(jω)dω = 2π x(0)
-Type answer below:
Answer: ?

Added by Joseph H.

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