The signal x(t) in Figure Q1(a) is passed through a system that produces an output given by Q2 (a) z(t) = H[x(t)] = 2 rect(t). Determine the transformation of the signal x(t) to produce z(t). (b) The signal z(t) in Q2(a) is duplicated every 4 seconds such that Zp(t) = > z(t – k4). k=-0 (i) Sketch the signal zp(t) for -5
The signal x(t) in Figure Q1(a) is passed through a system that produces an output given by Q2 (a) z(t) = H[x(t)] = 2 rect(t). Determine the transformation of the signal x(t) to produce z(t). (b) The signal z(t) in Q2(a) is duplicated every 4 seconds such that Zp(t) = > z(t – k4). k=-0 (i) Sketch the signal zp(t) for -5
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:x(t)
-1 o'
Figure Q1(a)
![The signal x(t) in Figure Q1(a) is passed through a system that produces an output
given by
Q2
(a)
z(t) = H[x(t)] = 2 rect(t).
Determine the transformation of the signal x(t) to produce z(t).
(b)
The signal z(t) in Q2(a) is duplicated every 4 seconds such that
Zp(t) = > z(t - k4).
k=-00
(i)
Sketch the signal z„(t) for -5 <t < 5.
(ii)
Determine the Fourier series coefficient of the signal zp(t) for n=
%3D
0,+1,+2,13,+4.
(iii) Determine the percentage of power in the first four 4 harmonics obtained in
Q2b(ii) compared to the total power of signal zp(t).
(iv) Discuss the eftect of reducing the period by half on the Fourier series
coefficients and the average signal power in the first four 4 harmonics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78f4fed9-ba2c-42d3-9b30-07780d15354d%2F67ea88c7-ab4a-4978-835f-6581de45366d%2Fc5kmnwo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The signal x(t) in Figure Q1(a) is passed through a system that produces an output
given by
Q2
(a)
z(t) = H[x(t)] = 2 rect(t).
Determine the transformation of the signal x(t) to produce z(t).
(b)
The signal z(t) in Q2(a) is duplicated every 4 seconds such that
Zp(t) = > z(t - k4).
k=-00
(i)
Sketch the signal z„(t) for -5 <t < 5.
(ii)
Determine the Fourier series coefficient of the signal zp(t) for n=
%3D
0,+1,+2,13,+4.
(iii) Determine the percentage of power in the first four 4 harmonics obtained in
Q2b(ii) compared to the total power of signal zp(t).
(iv) Discuss the eftect of reducing the period by half on the Fourier series
coefficients and the average signal power in the first four 4 harmonics.
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