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Let x(t) be a signal whose Fourier transform X(ω) is nonzero only over 3 ≤ |ω| ≤ 9. Further, only frequencies 5 ≤ |ω| ≤ 7 contain useful information (the other frequencies can be considered to contain noise or different channel information).
(a) What is the smallest sampling rate that will enable exact reconstruction of the useful signal if we do not perform any filtering on x(t) before sampling?
(b) How will the answer of part (a) change if it is permitted to pass x(t) through a filter before sampling? Explain.
Supposed that the signal y(t) is low -pass filtered. The magnitud od the low pass filter is unity and the cut off frequency is Rz= 5000*pi rad/sec. Determine the value of the sampling period Ts according to the given information.
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Application: Spherical capacitor. Two concentric, conducting spheres with radii a = 10 mm and b = 50 mm are separated by a dielectric with relative permittivity εr = 2. Calculate the capacitance of this device.
Identify how one can generate pulse width modulation using the 9S12DG256 microcontroller. Identify various applications that require PWM. Show how microcontroller PWM interface is used to drive servomotors, and discuss these motors.
Determine the motor speed, the motor efficiency, the total losses (i.e., rotational and I 2R losses), and the load torque (i.e., Tsh) that will result when the motor draws 40 A from the line. Assume rotational power losses are proportional to the ..
consider a running motor with Z = 6 + j7 ohm A) calculate the line crurrent if the motor is operated at 120 VAC RMS B) calculate the required paralell capacitor value to reduce the line current to a minimum
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