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1. Sketch each of the components of the following signals on the graphs provided. Sketch and...
4. Sketch a graph ot the following signals. Use the grid provided. (t) = r(t) Hint:...
4. Sketch a graph ot the following signals. Use the grid provided. (t) = r(t) Hint: Ignore the behavior at zero. (a) x1 (b) X2 (t) = sin ( + 90°) (c) X3 (t) = rect () cos ( 2π 到 4. Sketch a graph of the followirtg signals. Use the grid provided. (a) x1 (t) e-fu (t) (a) x1 (t) = e,u (-t) (b) X2 (t) = cos (27t + 90°) c) X3(t) = r (2-t
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic....
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic. If periodic, • Even, odd, or neither. If it is neither, specify To. decompose it into even part Ev{x} Energy signal, power signal, or and odd part Od{x} and sketch them. neither. Find the total energy E. and average power PC- 12 -1<n<1 (a) xa n] = lo otherwise (b) xo(t) = xy(t) + x2(t), where x,(t) and x2(t) are the signals shown below:...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)
Q3 1. For the following, in (a) sketch the graphs of the functions and in (a)...
Q3
1. For the following, in (a) sketch the graphs of the functions and in (a) and (b) find the areas as indicated (a) the area bounded by y = f(x) = x2 - 4x + 5 and y = g(2) = 2x - 3. (b) the area of the region that is common to r= 3 cos(0) and r = sin(). See sketch below. 2. Consider the region bounded by y? = 4, y = 2 and r =...
Please solve and show work! Thank you in advance! For each of the cases below, sketch...
Please solve and show work! Thank you in advance!
For each of the cases below, sketch the signals r(t) and h(t) and compute and sketch the signal y(t) -r(t) * h(t) where * denotes the convolution integral (1+1+3-5 points for each part) (anln+1] -uln -1] and h[n]un-un-2. (1+1+3-5 points) (b) n un-un-2 and hn ()un. (1+1+3-5 points) 0, else h[n+1] - un -1. (1+1+3-5 points)
Classify the following signals whether are energy signals, power signals or neither by computing their energy...
Classify the following signals whether are energy signals, power signals or neither by computing their energy and power: 2. a. (10 points) x1(t)=2cos(2n10t)+3cos(2n20t) 1 < t otherwise (10 points) the periodic signal x3 (t) as shown by the figure below: t + 2 3 b, (10 points) X2(t) = c. x3 (t) 2 -2-1 0 2 3 t(s)
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
HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and...
HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and the rms value of the signal belo a) x(-4) b)x(-t) c) x(2-4) 3) for the signal x(t) shown below, sketch the signals b) (-4)[u(t-2)-(-4)] 4) sketch the following signals a) uſt-5) - ult-7) 5) Simplify the following expressions: (a) (2+2) (1) (+3)sw) (c) le='cos (31 – 60°)80) () (sin ka ) s() 6) Evaluate the following integrals: (a) , 8(7)x(1 – t)dt (b) *()8(1-1)dt...
(a) Find the convolution of these two signals, and sketch the result.
Circular vs. Linear ConvolutionConsider sequences(x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7])=(1,1,1,1,0,0,0,0)and(h[0], h[1], h[2], h[3], h[4], h[5], h[6], h[7])=(1,2,3,4,3,2,1,0)where x[n]=0 for n ∉\{0, …, 7\} and h[n]=0 for n ∉\{0, ..., 7\}.(a) Find the convolution of these two signals, and sketch the result.(b) Find the 8-point circular convolution of these two signals, and sketch the result.(c) Assume that each of the signals has been zero padded up to a length 16. Find the 16 -point circular convolution of these two...
QUESTION 1 (a) For a given mathematical equation, sketch the signals of: (1) x1 [n] =...
QUESTION 1 (a) For a given mathematical equation, sketch the signals of: (1) x1 [n] = (n − 2)(u[n + 2] – u[n – 2]) + 48[n + 1] + 8[n – 2] (ii) x2 [n] = 3u [n + 1] - 3u[n – 1] (b) (8 marks) Based on the signal that you sketch in Qla(i), illustrate a new transformed signal yı[n] by performing (1), discuss the difference between original signal in Q(a)(i) and new signal in term of...
4. Sketch a graph ot the following signals. Use the grid provided. (t) = r(t) Hint: Ignore the behavior at zero. (a) x1 (b) X2 (t) = sin ( + 90°) (c) X3 (t) = rect () cos ( 2π 到 4. Sketch a graph of the followirtg signals. Use the grid provided. (a) x1 (t) e-fu (t) (a) x1 (t) = e,u (-t) (b) X2 (t) = cos (27t + 90°) c) X3(t) = r (2-t
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic. If periodic, • Even, odd, or neither. If it is neither, specify To. decompose it into even part Ev{x} Energy signal, power signal, or and odd part Od{x} and sketch them. neither. Find the total energy E. and average power PC- 12 -1<n<1 (a) xa n] = lo otherwise (b) xo(t) = xy(t) + x2(t), where x,(t) and x2(t) are the signals shown below:...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)
Q3
1. For the following, in (a) sketch the graphs of the functions and in (a) and (b) find the areas as indicated (a) the area bounded by y = f(x) = x2 - 4x + 5 and y = g(2) = 2x - 3. (b) the area of the region that is common to r= 3 cos(0) and r = sin(). See sketch below. 2. Consider the region bounded by y? = 4, y = 2 and r =...
Please solve and show work! Thank you in advance!
For each of the cases below, sketch the signals r(t) and h(t) and compute and sketch the signal y(t) -r(t) * h(t) where * denotes the convolution integral (1+1+3-5 points for each part) (anln+1] -uln -1] and h[n]un-un-2. (1+1+3-5 points) (b) n un-un-2 and hn ()un. (1+1+3-5 points) 0, else h[n+1] - un -1. (1+1+3-5 points)
Classify the following signals whether are energy signals, power signals or neither by computing their energy and power: 2. a. (10 points) x1(t)=2cos(2n10t)+3cos(2n20t) 1 < t otherwise (10 points) the periodic signal x3 (t) as shown by the figure below: t + 2 3 b, (10 points) X2(t) = c. x3 (t) 2 -2-1 0 2 3 t(s)
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
HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and the rms value of the signal belo a) x(-4) b)x(-t) c) x(2-4) 3) for the signal x(t) shown below, sketch the signals b) (-4)[u(t-2)-(-4)] 4) sketch the following signals a) uſt-5) - ult-7) 5) Simplify the following expressions: (a) (2+2) (1) (+3)sw) (c) le='cos (31 – 60°)80) () (sin ka ) s() 6) Evaluate the following integrals: (a) , 8(7)x(1 – t)dt (b) *()8(1-1)dt...
QUESTION 1 (a) For a given mathematical equation, sketch the signals of: (1) x1 [n] = (n − 2)(u[n + 2] – u[n – 2]) + 48[n + 1] + 8[n – 2] (ii) x2 [n] = 3u [n + 1] - 3u[n – 1] (b) (8 marks) Based on the signal that you sketch in Qla(i), illustrate a new transformed signal yı[n] by performing (1), discuss the difference between original signal in Q(a)(i) and new signal in term of...
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