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A signal x(t) with period To = 2 × 10-5 s in Figure Q2(a) is passed through a low pass filter with the frequency response as per illustrated in Figure Q2(b) The input x(t) is given Q2 as: 1 x()+Σ α. cos (πnt) n=1 (a) Find the value of x(t) for 0 < n< 5 given that 2 πη an = -sin and bn = 0. (b) Determine the output of the filter y(t). |H(f)| f(kHz) 150 150 Figure Q2(b) x(t) t(10-5) -1 -2 3 1 0 1 1 3 2 5 5 2 2 2 2 2 Figure Q2(a) m IN

A signal x(t) with period To = 2 × 10-5 s in Figure Q2(a) is passed through a low pass filter with the frequency response as per illustrated in Figure Q2(b) The input x(t) is given Q2 as: 1 x()+Σ α. cos (πnt) n=1 (a) Find the value of x(t) for 0 < n< 5 given that 2 πη an = -sin and bn = 0. (b) Determine the output of the filter y(t). |H(f)| f(kHz) 150 150 Figure Q2(b) x(t) t(10-5) -1 -2 3 1 0 1 1 3 2 5 5 2 2 2 2 2 Figure Q2(a) m IN

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 signal x(t) with period To = 2 × 10-5 s in Figure Q2(a) is passed through a low pass filter with the frequency response as per illustrated in Figure Q2(b) The input x(t) is given Q2 as: 1 x(t) +Σαι cOs (πnt) n=1 (a) Find the value of x(t) for 0 < n < 5 given that 2 an = - sin O and bn = 0. (b) Determine the output of the filter y(t). |H(f)| + f(kHz) 150 150 Figure Q2(b) x(t) ... ... t(10-5) -2 -1 1 0 1 3 2 2 2 1 3 - - 2 2 2 Figure Q2(a) m IN
Transcribed Image Text:A signal x(t) with period To = 2 × 10-5 s in Figure Q2(a) is passed through a low pass filter with the frequency response as per illustrated in Figure Q2(b) The input x(t) is given Q2 as: 1 x(t) +Σαι cOs (πnt) n=1 (a) Find the value of x(t) for 0 < n < 5 given that 2 an = - sin O and bn = 0. (b) Determine the output of the filter y(t). |H(f)| + f(kHz) 150 150 Figure Q2(b) x(t) ... ... t(10-5) -2 -1 1 0 1 3 2 2 2 1 3 - - 2 2 2 Figure Q2(a) m IN
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