Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Fourier Series
Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental freq…
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Take the periodic input with period 4, and values in the range of indices 0, to 3 given as = {1, –1, 2, –1}. -Find its Fourier series representation. Discuss the energy in different harmonics. Which harmonic has the highest frequency. Discuss why this makes sense. How does the energy of harmonics relate to the power of the signal. Consider the system H, with the input x, and output y, and with the input-output relationship y(n) la(n) – x(n – 1)]. -Find the transfer function of the system. Sketch its poles and zeros, and discuss what type of system H is.
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Transcribed Image Text:Take the periodic input with period 4, and values in the range of indices 0, to 3 given as = {1, –1, 2, –1}. -Find its Fourier series representation. Discuss the energy in different harmonics. Which harmonic has the highest frequency. Discuss why this makes sense. How does the energy of harmonics relate to the power of the signal. Consider the system H, with the input x, and output y, and with the input-output relationship y(n) la(n) – x(n – 1)]. -Find the transfer function of the system. Sketch its poles and zeros, and discuss what type of system H is.
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