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(iv) Determine the frequency wm such that the energy contributed by the spectral components of all the frequencies w such that w|≤wm is 95% of the total signal energy E₁. You may assume the relationship: d dr -tan-¹()= = a a²+x²

(iv) Determine the frequency wm such that the energy contributed by the spectral components of all the frequencies w such that w|≤wm is 95% of the total signal energy E₁. You may assume the relationship: d dr -tan-¹()= = a a²+x²

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider the one-sided exponential function fi(t) u(t) is the unit step function, a > 0, and A > 0. (1) (ii) (iv) You may assume the relationship: d dr Sketch the waveform of the signal, fi(t), marking the axis carefully. Calculate the Fourier transform of fi(t). Calculate the energy, E₁, in the signal fi(t). Determine the frequency wm such that the energy contributed by the spectral components of all the frequencies w such that w|≤ wm is 95% of the total signal energy E₁. tan -1 (²) = = = = Ae-at u(t), where a a² + x²
Transcribed Image Text:Consider the one-sided exponential function fi(t) u(t) is the unit step function, a > 0, and A > 0. (1) (ii) (iv) You may assume the relationship: d dr Sketch the waveform of the signal, fi(t), marking the axis carefully. Calculate the Fourier transform of fi(t). Calculate the energy, E₁, in the signal fi(t). Determine the frequency wm such that the energy contributed by the spectral components of all the frequencies w such that w|≤ wm is 95% of the total signal energy E₁. tan -1 (²) = = = = Ae-at u(t), where a a² + x²
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