a.)Fourier Series representation of the signal X (t) with the period T= 2 given in Figure 1 Find (along with Fourier series floor numbers). (The question can be solved in two different ways: 1. Hint for the method:− 1 < t < 1 is X(t) = T, and the DT integral of ± t ∗ E^jkwot can be solved by the piecemeal integral method. 2. Tip For: consider the derivative of x(t).) b. What happens to the output signal(y(t)) if the H (jw) frequency response of the X(t) signal given above is passed through the ideal low-pass filter defined below? H(jw) = : 1 |w| < 5 0 |w|≥ 5
a.)Fourier Series representation of the signal X (t) with the period T= 2 given in Figure 1 Find (along with Fourier series floor numbers). (The question can be solved in two different ways: 1. Hint for the method:− 1 < t < 1 is X(t) = T, and the DT integral of ± t ∗ E^jkwot can be solved by the piecemeal integral method. 2. Tip For: consider the derivative of x(t).) b. What happens to the output signal(y(t)) if the H (jw) frequency response of the X(t) signal given above is passed through the ideal low-pass filter defined below? H(jw) = : 1 |w| < 5 0 |w|≥ 5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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a.)Fourier Series representation of the signal X (t) with the period T= 2 given in Figure 1 Find (along with Fourier series floor numbers). (The question can be solved in two different ways: 1. Hint for the method:− 1 < t < 1 is X(t) = T, and the DT integral of ± t ∗ E^jkwot can be solved by the piecemeal integral method. 2. Tip For: consider the derivative of x(t).)
b. What happens to the output signal(y(t)) if the H (jw) frequency response of the X(t) signal given above is passed through the ideal low-pass filter defined below?
H(jw) = :
1 |w| < 5
0 |w|≥ 5
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