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4. The energy in a certain process is delivered by a signal with the equation: x(t)=é'.u(t)...
1.2-4 For an energy signal x(t) with energy Ex, show that the energy of any one...
1.2-4 For an energy signal x(t) with energy Ex, show that the energy of any one of the signals –x(t), X(-t), and x(t - T) is Ex. Show also that the energy of x(at) as well as x(at - b) is Ex/a, but the energy of ax(t) is a Ex. This shows that time inversion and time shifting do not affect signal energy. On the other hand, time compression of a signal (a > 1) reduces the energy, and time...
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a...
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a 1-ohm basis) over the time interval from - to too. (b) Calculate the signal energy (on a 1-ohm basis) over the frequency range from - to too. (c) Repeat part (b) over the frequency range from -2 to +2 Hz. (d) Do your answers in parts (a), (b), and (c) make sense? Explain.
Problem 4: A signal x(t) is given mathematically as follows: x(t) = 4.5+ 3.8cos(27 74t -...
Problem 4: A signal x(t) is given mathematically as follows: x(t) = 4.5+ 3.8cos(27 74t - 31/11) - 2 cos(21 296t+1/3) 4.1. Sketch the spectrum of the signal. Is x(t) periodic? If so, what is its fundamental frequency and what are the signal harmonics? Write down the number of each harmonic (0, 1, 2, ... etc) and the frequency of each harmonic. Verify in MATLAB 4.2. A new signal z(t) is created by adding a sinusoidal signal y(t) to x(t)....
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate int...
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4
Consider the continous time signal...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0) 6. Signal x()- exp(-t) u() and signal ho) is as sh...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
1. The signal x(t)- expl-a)u(t) is passed as the input to a system with impulse response...
1. The signal x(t)- expl-a)u(t) is passed as the input to a system with impulse response h(t) -sin(2t)/(7t (a) Find the Fourier transform Y() of the output (b) For what value of α does the energy in the output signal equal one-half the input signal energy? Hint: use the duality property of Fourier Transform to obtain H(a
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is...
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is unit ramp signal]. And sketch the following i. yl(t)=x[-1-2) ii. y2(t)=x[3-t] 15 Marks
compute the energy Ex of signal x(t) of x(t) = exp(t*(1+j*2*pi))u(-t), y(t) = Re{2x *((-5-t)/2)}
compute the energy Ex of signal x(t) of x(t) = exp(t*(1+j*2*pi))u(-t), y(t) = Re{2x *((-5-t)/2)}
HW 11.5 Consider the periodic "square wave" signal defined by x(t)- u(t - 4k) - u(t - 2-4k) (a) S...
HW 11.5 Consider the periodic "square wave" signal defined by x(t)- u(t - 4k) - u(t - 2-4k) (a) Sketch x(t) (b) Sketch g(t) = x(t)-0.5 (c) Sketch |x(jw)|. Hint: First determine the Fourier series expansion of x() (d) Sketch IG(Go)
HW 11.5 Consider the periodic "square wave" signal defined by x(t)- u(t - 4k) - u(t - 2-4k) (a) Sketch x(t) (b) Sketch g(t) = x(t)-0.5 (c) Sketch |x(jw)|. Hint: First determine the Fourier series expansion of x() (d)...
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t)...
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...
1.2-4 For an energy signal x(t) with energy Ex, show that the energy of any one of the signals –x(t), X(-t), and x(t - T) is Ex. Show also that the energy of x(at) as well as x(at - b) is Ex/a, but the energy of ax(t) is a Ex. This shows that time inversion and time shifting do not affect signal energy. On the other hand, time compression of a signal (a > 1) reduces the energy, and time...
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a 1-ohm basis) over the time interval from - to too. (b) Calculate the signal energy (on a 1-ohm basis) over the frequency range from - to too. (c) Repeat part (b) over the frequency range from -2 to +2 Hz. (d) Do your answers in parts (a), (b), and (c) make sense? Explain.
Problem 4: A signal x(t) is given mathematically as follows: x(t) = 4.5+ 3.8cos(27 74t - 31/11) - 2 cos(21 296t+1/3) 4.1. Sketch the spectrum of the signal. Is x(t) periodic? If so, what is its fundamental frequency and what are the signal harmonics? Write down the number of each harmonic (0, 1, 2, ... etc) and the frequency of each harmonic. Verify in MATLAB 4.2. A new signal z(t) is created by adding a sinusoidal signal y(t) to x(t)....
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4
Consider the continous time signal...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
1. The signal x(t)- expl-a)u(t) is passed as the input to a system with impulse response h(t) -sin(2t)/(7t (a) Find the Fourier transform Y() of the output (b) For what value of α does the energy in the output signal equal one-half the input signal energy? Hint: use the duality property of Fourier Transform to obtain H(a
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is unit ramp signal]. And sketch the following i. yl(t)=x[-1-2) ii. y2(t)=x[3-t] 15 Marks
HW 11.5 Consider the periodic "square wave" signal defined by x(t)- u(t - 4k) - u(t - 2-4k) (a) Sketch x(t) (b) Sketch g(t) = x(t)-0.5 (c) Sketch |x(jw)|. Hint: First determine the Fourier series expansion of x() (d) Sketch IG(Go)
HW 11.5 Consider the periodic "square wave" signal defined by x(t)- u(t - 4k) - u(t - 2-4k) (a) Sketch x(t) (b) Sketch g(t) = x(t)-0.5 (c) Sketch |x(jw)|. Hint: First determine the Fourier series expansion of x() (d)...
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...
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