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Problem .3 Find the Fourier transform of the following periodic signal. Sketch the magnitude and phase...
4. A periodic signal x (t) is represented by a trigonometrie Fourier series X(t) = 8...
4. A periodic signal x (t) is represented by a trigonometrie Fourier series X(t) = 8 + 4 cos (2t + 60°) + 2sin (3t+30°) - cos (4t + 150°) = 0 * +30°) - cos (4t+150°) = 3 +4 Cos(216)+2 Cart ( 6) Col413 (a) Sketch the trigonometric Fourier series spectra (both magnitude and phase). O i 2 3 (b) Sketch the exponential Fourier series spectra (both magnitude and phase). + Dol -3 -2 -1 0 1 2 3...
Problem 4: [8 Points] x(t) is a continuous periodic signal that has complex exponential Fourier series coefficients as Do = 1, Dn = 2 (1 + j(-1)") Sketch the magnitude and phase spectral-line...
Problem 4: [8 Points] x(t) is a continuous periodic signal that has complex exponential Fourier series coefficients as Do = 1, Dn = 2 (1 + j(-1)") Sketch the magnitude and phase spectral-line up to the a) b) Estimate the signal's power from the 1t four h c) Write the math ematical expression for the complex exponential Fourier series expansion form. 12) Solution:
Problem 4: [8 Points] x(t) is a continuous periodic signal that has complex exponential Fourier series coefficients...
Problem 2 125 Marks Given the following periodic signal: 5-3-2 e) a- Find the trigonometric Fourier...
Problem 2 125 Marks Given the following periodic signal: 5-3-2 e) a- Find the trigonometric Fourier series, sketch the amplitude, and phase spectra. [15 Marks] Student b- Does the signal has a de component? Exp Explain. [5 Marks] If you are given the signal x(t) = tu (t). Can we write the Fourier series of the signal in the period 0 t < 1? Explain. [5 Marks] c-
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each sign...
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)]
2) (Fourier Transforms Using Properties)...
3) Find the exponential Fourier series for the periodic signal x(t)= e 1/2 over the range...
3) Find the exponential Fourier series for the periodic signal x(t)= e 1/2 over the range 0..1, periodically continued. 4) Plot the amplitude and phase spectra of this signal. How do they compare to (2) above?
l, f) is a periodic signal with period f(t)-n(t)-u(t-t/2 ) for 0 2π a.) Find the exponential Fourier series of f() and sketchf). What is the fundamental radian frequency. b.) Evaluate and sketch...
l, f) is a periodic signal with period f(t)-n(t)-u(t-t/2 ) for 0 2π a.) Find the exponential Fourier series of f() and sketchf). What is the fundamental radian frequency. b.) Evaluate and sketch |Dml, the magnitude of the Fourier series coefficients vs.o in the range of -4s n S4 c.) Evaluate and sketch the phase angle of D, vs. co in the same range (-4S n S4) d.) Find the signal average power e) Find the approximate average power of...
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier...
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()...
3. [45] Compute the exponential Fourier series representation for the following signals and sketch the amplitude...
3. [45] Compute the exponential Fourier series representation for the following signals and sketch the amplitude and phase spectra. x(t) -7 -6 -2 -1 4 5 6 x(t) b) c) x(t) periodic with period 4 and (sin(at),0 <t<2 x(0) = { 0,2 <t 54
For the periodic signal below, find the compact trigonometric fourier series and sketch the amplitude and...
For the periodic signal below, find the compact trigonometric
fourier series and sketch the amplitude and phase spectra. If
either the sine or cosine terms are absent in the Fourier series,
explain why. Please provide a detailed solution. Thanks!
For the periodi the amplitude and phase spectra. If either the sine or cosine terms a series, explain why 6.1-1. c signal shown below, find the compact trigonometric Fourier series and sketch re absent in the Fourier b) -20
2. (25p) Find the Fourier transform of the following signal. Sketch the amplitude phase spectrum of...
2. (25p) Find the Fourier transform of the following signal. Sketch the amplitude phase spectrum of the signal. x(1) 1 -2 2
4. A periodic signal x (t) is represented by a trigonometrie Fourier series X(t) = 8 + 4 cos (2t + 60°) + 2sin (3t+30°) - cos (4t + 150°) = 0 * +30°) - cos (4t+150°) = 3 +4 Cos(216)+2 Cart ( 6) Col413 (a) Sketch the trigonometric Fourier series spectra (both magnitude and phase). O i 2 3 (b) Sketch the exponential Fourier series spectra (both magnitude and phase). + Dol -3 -2 -1 0 1 2 3...
Problem 4: [8 Points] x(t) is a continuous periodic signal that has complex exponential Fourier series coefficients as Do = 1, Dn = 2 (1 + j(-1)") Sketch the magnitude and phase spectral-line up to the a) b) Estimate the signal's power from the 1t four h c) Write the math ematical expression for the complex exponential Fourier series expansion form. 12) Solution:
Problem 4: [8 Points] x(t) is a continuous periodic signal that has complex exponential Fourier series coefficients...
Problem 2 125 Marks Given the following periodic signal: 5-3-2 e) a- Find the trigonometric Fourier series, sketch the amplitude, and phase spectra. [15 Marks] Student b- Does the signal has a de component? Exp Explain. [5 Marks] If you are given the signal x(t) = tu (t). Can we write the Fourier series of the signal in the period 0 t < 1? Explain. [5 Marks] c-
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)]
2) (Fourier Transforms Using Properties)...
3) Find the exponential Fourier series for the periodic signal x(t)= e 1/2 over the range 0..1, periodically continued. 4) Plot the amplitude and phase spectra of this signal. How do they compare to (2) above?
l, f) is a periodic signal with period f(t)-n(t)-u(t-t/2 ) for 0 2π a.) Find the exponential Fourier series of f() and sketchf). What is the fundamental radian frequency. b.) Evaluate and sketch |Dml, the magnitude of the Fourier series coefficients vs.o in the range of -4s n S4 c.) Evaluate and sketch the phase angle of D, vs. co in the same range (-4S n S4) d.) Find the signal average power e) Find the approximate average power of...
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()...
3. [45] Compute the exponential Fourier series representation for the following signals and sketch the amplitude and phase spectra. x(t) -7 -6 -2 -1 4 5 6 x(t) b) c) x(t) periodic with period 4 and (sin(at),0 <t<2 x(0) = { 0,2 <t 54
For the periodic signal below, find the compact trigonometric
fourier series and sketch the amplitude and phase spectra. If
either the sine or cosine terms are absent in the Fourier series,
explain why. Please provide a detailed solution. Thanks!
For the periodi the amplitude and phase spectra. If either the sine or cosine terms a series, explain why 6.1-1. c signal shown below, find the compact trigonometric Fourier series and sketch re absent in the Fourier b) -20
2. (25p) Find the Fourier transform of the following signal. Sketch the amplitude phase spectrum of the signal. x(1) 1 -2 2
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