Sampling 2 periods of each signal in (below) with 100 samples and plot the signal with respect to the same frequency reference signal cos(ω₀t):

a.x_a(t)=50sin(100t+0.2)

b.x_b(t)=25cos(5000t−π/4)

c.x_c(t)=50sin(1000t+ π/4)−20cos(1000t−0.5)

d.x_d(t)=30sin(3000(t−5×10⁻⁵))

e.x_e(t)=25cos(5000t−2.25π)

f.x_f(t)=−25cos(5000t+3π/4)

Design the hardware connection of the SEN-11931, reuse the 4-bank 7-segment LED connection from Lab 4 for the mbed to read the temperature from the SEN-11931 and display the temperature in Fahrenheit degrees on the LED display in the format of xxx.x. Build your circuit and include all the required information about your hardware design in your lab report. You will also need to make the decision on whether pull-up resistors are needed.

Find the 10-point DFT sequence of the x [n] sequence given below.

?[?] = cos ( 3??/ 5 ) . sin( 4??/ 5 )

A Unity feedback system has an open loop transfer function of

G(s) = K / s (s+1) (s+5)

Draw the root locus plot and determine the value of K to give a damping ratio of 0.3 A network having a transfer function of 10(1 +10s) /(1 +100s) is now introduced in tandem. Find the new value of K, which gives the same damping ratio for the closed -loop response. Compare the velocity error constant and settling time of the original and the compensated systems

Is that possible, for any antenna, to be used as a receiver and transmitter? What is the point of that?

.         Given the following non-periodic signal:   

x(t) = 3 e^-5t cos(12t) u(t)

            Find the Fourier transform expression X(ω) without using Table.

            Calculate the magnitude spectrum of X(ω) for ω = π/8, π/4, and π/2

what is the earth elemental 5e??

Explain in your own words why light is trapped in an optical fiber. Describe at least two cases where you have observed the effects of light refraction besides the case of a swimming pool. Use examples from your own life. Why the fabrication of optical fiber is a very delicate process? What do you understand is the "Dispersion" effect in communication fibers.

Alternating current machines

Provide answers for the following: a) What is the protection offered by IP5X against solid object? (1 mark) b) What is the protection offered by IP5X against liquids? (1 mark).

Try to reconstruct the original from PWM and PPM signal directly with low pass filters. Could the signal be recovered? Why?