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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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

1. Aşağıdaki soruları yanıtlayınız ve cevaplarınızı açıklayınız. a. y[n] = x[-Ogn]u[n] giriş çıkış ilişkisine sahip olan sistem nedensel midir? 2л b. x(t) = elwot şeklinde tanımlanmış bir sinyal T, Wo - temel periyodu ile periyodiktir. Bu sin- yalin T zaman aralığıyla örneklenmesi ile elde edilen x[n] = x(nT) = elwont sinyali T = T 2 değeri için periyodik midir ve eğer periyodikse temel periyodu nedir? Og+ c. x(t) = el2n0ạt sinyalinin tek ve çift kısımlarını bulunuz.
Transcribed Image Text:1. Aşağıdaki soruları yanıtlayınız ve cevaplarınızı açıklayınız. a. y[n] = x[-Ogn]u[n] giriş çıkış ilişkisine sahip olan sistem nedensel midir? 2л b. x(t) = elwot şeklinde tanımlanmış bir sinyal T, Wo - temel periyodu ile periyodiktir. Bu sin- yalin T zaman aralığıyla örneklenmesi ile elde edilen x[n] = x(nT) = elwont sinyali T = T 2 değeri için periyodik midir ve eğer periyodikse temel periyodu nedir? Og+ c. x(t) = el2n0ạt sinyalinin tek ve çift kısımlarını bulunuz.
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