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Find the Fourier series for the time-domain signal shown in Fig. 1. (1 point) +Vdc 2...
(a) Write an expression for the time-domain signal shown; (6) Find the Fourier transform of the signal; (c) If this signal is passed through an ideal lowpass filter with a cutoff frequency of 1 Hz, sketch the spectrum of the filter's output, including numerical labels on vertical and horizontal axes. g(t) 2 (s) Problem completed
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c] QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c]
Find the inverse fourier transform of the expression and sketch the time domain signal Find the inverse Fourier transform of Y(f)=4[sincʻ[(f –100)/5]+sincº [(f +100)/5]]exp(j107f) Sketch the time domain signal y(t) (qualitatively).
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig 2. Xc() -80007 0 80001 2 (rad/s) Fig 2 According to the sampling theorem, find the maximum allowable sampling period T for this signal. Also plot the Fourier Transforms of the sampled signal X:(j) and X(elo). Label the resulting signals appropriately (both in frequency and amplitude axis). Assuming that the sampling period is increased 1.2 times, what is the new sampling frequency 2? What...
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.
Find, using any method, the time domain signal corresponding to the following Fourier tranformm 1 /2 sin(w-2) 2 sin(2w where * denotes the convolution. Note: You must show all steps and name any properties used in your working.
Question (1) Find the Trigonometrie Fourier Series (FS) for the signals shown in Figure 1 and Figure 2. M -6rt 41 -2 4r Figure 1 Figure 2 Question (2) (a) Find the power of x(t) = 5 + 10 cos (100t + 3) (b) Express signal x1(t) in terms of signal x(t) and its time-shifter, time-scaled, or time reversed versions. Figure 3
16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig. P16.2(a) illustrates the square wave; Fig. P16.2(b) illustrates the full-wave rectified sine wave, where u(t)-Yn sin(π/T), 0 t s T; and Fig. P16.2(c) illustrates the half-wave rectified sine wave, where Figure P16.2 v(t) 2T 3T rt v(0) 2T 3T v(t) nt T/2 T 3T/2 16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig....
find the Fourier series of the following signal -6 Find the Fourier series of the following signal? I 2 o 46
The Fourier transform W(f) of a time domain signal w(t) is given by: W(f) = 5.87 exp[ -( 0.047 f )2 ] Find the imaginary part of the Fourier transform of the shifted signal w(t - 0.50) at the frequency 3.24 Hz. The correct answer is 3.93