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2) The exponential Fourier series of a periodic signal x(t) is given as x(t) = (4...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t)+j...
Please solve parts d and e
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t)+j2 exp(-j10t) +3 -j2 exp(j10t) + (2-j2) exp(300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(o) and...
The exponential Fourier series of a certain periodic signal is given as: f(t) = (2+j2) exp(-j300t...
The exponential Fourier series of a certain periodic signal is given as: f(t) = (2+j2) exp(-j300t) + j2 exp(-j10t) +3 - j2 exp(j10t) + (2-j2) exp(j300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal. c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(ω) and plot its...
The exponential Fourier series of a certain periodic signal is given as: f(t) = (2+j2) exp(-j300t)...
The exponential Fourier series of a certain periodic signal is given as: f(t) = (2+j2) exp(-j300t) + j2 exp(-j10t) +3 - j2 exp(j10t) + (2-j2) exp(j300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal. c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(ω) and plot its...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
The exponential Fourier series of a certain function is given as x(t) = (2+jl)e"]3+ + j3e-ft...
The exponential Fourier series of a certain function is given as x(t) = (2+jl)e"]3+ + j3e-ft + 5 - Belt + (2-j1)e131 a) Sketch the exponential Fourier spectra b) By inspection of the spectra in part (a), sketch the trigonometric Fourier spectra for x(t). c) Find the compact trigonometric Fourier series from the spectra in part b.
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...
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and...
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the spectral line. [2 Find the fundamental frequency and identilY the harmonics in the signal. 12) Solution
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspe...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find the trigonometric Fourier series representing x(t) D. By spectien of Eig P636 ketcir tne exponential Eourier spectra of x(t). Egunar specta obtained in part b find the expone Het Ferrer sense。「 X(t) 0, 1 2 3 4 Cn Figure P6.3-8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for this signal. x(t) AA -4 -2 1 2 4 6 8 (a) Find the period (T.) and radian frequency (wo) of (t). (b) Find the Trigonometric Series representation of X(t). These include: (a) Fourier coefficients ao, an, and bn ; (b) complete mathematical Fourier series expression for X(t); and (c) first five terms of the series.
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
Please solve parts d and e
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t)+j2 exp(-j10t) +3 -j2 exp(j10t) + (2-j2) exp(300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(o) and...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
The exponential Fourier series of a certain function is given as x(t) = (2+jl)e"]3+ + j3e-ft + 5 - Belt + (2-j1)e131 a) Sketch the exponential Fourier spectra b) By inspection of the spectra in part (a), sketch the trigonometric Fourier spectra for x(t). c) Find the compact trigonometric Fourier series from the spectra in part b.
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...
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the spectral line. [2 Find the fundamental frequency and identilY the harmonics in the signal. 12) Solution
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find the trigonometric Fourier series representing x(t) D. By spectien of Eig P636 ketcir tne exponential Eourier spectra of x(t). Egunar specta obtained in part b find the expone Het Ferrer sense。「 X(t) 0, 1 2 3 4 Cn Figure P6.3-8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for this signal. x(t) AA -4 -2 1 2 4 6 8 (a) Find the period (T.) and radian frequency (wo) of (t). (b) Find the Trigonometric Series representation of X(t). These include: (a) Fourier coefficients ao, an, and bn ; (b) complete mathematical Fourier series expression for X(t); and (c) first five terms of the series.
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