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3. [45] Compute the exponential Fourier series representation for the following signals and sketch the amplitude...
3.11-For each of the following signals compute the complex exponential Fourier series by using trigonometric identities,and then sketch the amplitude and phase spectra for all values of k (a) x(t)-cos(5t-π/4) (b) x(t) sint+ cos t 756 Chapter & The Series and fourier Translorm 023 4 5 ibi FIGURE Pa P33 3.13 Problems 157 in 0 14 12 3 I) ain FIGURE ,3.3 (antísndj (c) sti)-cos(1-1) + sin(,-%) 3.12. Determine the exponential Fourier series tor the Following periodic signals 3.11-For each...
For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k. (a) x() = cos(51 - 7/4) (b) X(t) = sin 1 + cost (c) x(0) cos(t – 1) + sin(t - 12) (d) x(t) = cos 2t sin 3t
2. For each of the periodic signals shown below, (a) Compute the exponential Fourier-series. (b) Sketch the magnitude and phase spectra for - 55ns5. Compute the relative error due to truncation when only 11 terms (-5S S5) in the series expansion are kept. *** WAN_ + 1 + 3 + 5 0 2 4 *_ _ 0 2 4 6
signal and systems 3.11. For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k , (a) x(t) = cos(51-7r/4) (b) x(1) sin! + cos[
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier series for x(t) and y). b) Sketch the amplitude and phase spectra for signal x(). c) Use Parseval's theorem to approximate the power of the periodic signal x() by calculating the power of the first N harmonics, such that the strength of the Nth harmonic is 10% or more of the power of the DC component. Q1) For the periodic signals x()...
1. Compute the trigonometric Fourier series and exponential Fourier series for the periodic signals shown below. ANNA 6 -4 4 / X(t) e1/10 (b)
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. са А . А А и ДАЛИ ДА Fia. P3.4 - 3 -3 -2
Problem .3 Find the Fourier transform of the following periodic signal. Sketch the magnitude and phase spectra x(t) -4? -2? 2? 2 The exponential Fourier series of r(t) is n=0 -98 sin n- Odd 2 0, n- Even
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2 For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2