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A rectangular pulse v(t) has a magnitude of 1.0 volts and duration 5 μs. The pulse is multiplied by a sine wave x(t) at a frequency of 2.0 MHz.
a. Write down an expression for the spectrum of the signal y(t) = x(t) x v(t).
b. Sketch the time waveform for y(t) over the time period ±2 μs about the center of the pulse.
c. Sketch the single sided spectrum of the pulse for a frequency range ± 400 kHz about 2.0 MHz. Normalize the peak value of the spectrum to 1.0.
Consider a plane wave normally incident on a half-space of copper. If f=1GHz, compute the propagation constant, intrinsic impedance, and skin depth for the conductor. Also compute the reflection and transmission coefficients
Calculate the torsional spring stiffness constant for a steel shaft 0.5" in diameter and 2.5 ft long.
A network router connects multiple computers together and allows them to send messages to each other. If two or more computers send messages simultaniously, they collide and the messages must be resent. Design a collision free circuit for a router..
A 10 K-ohm pot is used as a position sensor with a 10 -V supply. The input resistance to the interface circuit is 50 K-ohm. Find the loading error when the pot is in the middle of its range.
Why is pulse shaping filtering indispensable in wireless communications applications. Give three reasons why pulse shaping filters are used and in what points of the communications link they may be deployed.
A sinusoidal current is zero at t = -0.625 s and increasing at a rate of 8000pi A/s. The maximum amplitude of the current is 5 A. a. What is the frequency of i in radians per second b. What is the expression for i
define hue (h) in the h-i-s coordinate system. outline how the formula for computation of hue from R-G-B coordinates of a color point may be derived (detailed derivation is not required)
Determine the panel orientation you would choose to obtain maximum energy: (a) Over the year (b) In the summer (c) In the winter Discuss your choice of slope angles if the location is at 75°N.
Consider an 8-user CDMA system. The data vector of all users is given by [1,1,1,1,-1,-1,-1,1]. Find the total transmit signal.
suppose the one dimensional field. A-=Kx ax- exist in a region. illustrate the validity of Gaussian theorem by evaluating its volume and surface integral inside and on the rectangular parallelelpiped bounded by the surfaces:
a) show the truth table b) show an algebraic expression in sum of minterms fom. c) show a minimum sum of products expression d) show the minterms of the complement of each function in numeric form.
Consider a long wire represented as distributed RC sections. The total wire length is 5mm. To reduce the wire delay, we uniformly insert n buffers along the wire. Suppose r=12Ohms/m and c=0.2fF/m and the delay of each buffer is 1ns.
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