Let x(t) be the signal below: Sketch the following: (a) xi(t) = x(1 – t) (b)...
For all parts of this problem, let z(t) be the signal shown below. (Note that x(t) is defined by: x(t) = 3 - t for 0 <t <3; (t) = 0, otherwise.) 3 x(t) to i à (a) (6 points) Find the values of: (i) ſo r(t)8(t – 1)dt (ii) x(t)(t – 1)dt. (b) (6 points) Plot the signal y(t) defined by y(t) = x(r – 2)8(t – r)dr. (c) (6 points) Find the energy in x(t). (d) (7 points)...
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal with fundamental period of T 2 -t,-1t0 dz(t) a) Sketch the waveform of r(t)d3 marks) b) Calculate ao (3 marks) c) Determine the Fourier series representation of gt)(4 rks) d) Using the results from Part (c) and the property of continuous-time Fourier series to dr(t) determine the Fourier series coefficients of r(t) (4 marks)
Signal x(t) is given in the figure below. Using this information, sketch the following signals (MATLAB is not required) 5 4 1 0 2345 a) x(t 3) b) x(t +3) c) x(2t +3)
au. Let x(t) be a signal with x(t) =0 for t > 1 . For each signal given below, determine the values of t for which it is guaranteed to be zero (if any). (a) x(1-t) (d) x(3t) (b) x(1 -t) +x(2-t) (e) x(u3) (c) x(1-t)x(2-1) Solution:
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Problem 3.8 Find and sketch g(t)=x(t)*x(t) for the pair of functions shown below. Did you notice anything interesting? x(t) xz(t)xz(t) x2(t) - 3 3 -1 -1 of xi(t) xz(t) xz(t)xzt) X(t) xz(t) xz(t) * x2(t) xi(t) xz(t) xi(t) = x2(t) Note: Everlasting signal AAA xi(t) xz(t) xi(t) *xz(t) Note: Everlasting signal AAA xi(t) xalt) xi(t) + x2(t) Note: Everlasting signal АААА
1.On the graph below, make a neat and labeled sketch of the signal s(t) = 2 + cos( t/4 + 1 ),Describe s(t) as odd, even, or neither. What is the energy in s(t)? What is the power in s(t)? 2.On the graph below, make a neat and labeled sketch of the signal s(t) = 3 rect( t - 2 ) cos( π t ),Describe s(t) as odd, even, or neither. What is the energy in s(t)? What is the...
Let x(t) denote a signal and X(f) denote the corresponding Fourier transform which is given in the graph below. Given this graph, sketch the Fourier transforms of the following signals: -2 2 a, x b.x) Cos(8m) c. x(t) sinc (t) 2/
Let x(t) denote a signal and X(f) denote the corresponding Fourier transform which is given in the graph below. Given this graph, sketch the Fourier transforms of the following signals: -2 2 a, x b.x) Cos(8m) c. x(t) sinc...
Question # 4 Let x(t) u(t) be a signal, let h(t) = e -5tu(t) be a linear time invariant system (a) Sketch x(t) and h(t) (b) Find the mathematival expression of output of the system y(t) by using convolution. (c) Sketch y(t)
Let the signal x (t). Calculate the following:
a. Energy in an infinite time interval.
b. Power in an infinite time interval.
c. Energy in the time interval −1 ≤ t ≤ 3.
d. Power in the time interval −1 ≤ t ≤ 3.
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