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Two transmitters send messages through bursts of radio signals to an antenna. During each time slot each transmitter sends a message with probability 1/2. Simultaneous trans- missions result in loss of the messages. Let X be the number of time slots until the first message gets through.
(a) Find the conditional expected value of X in Problem given that no message gets through in the first time slot. Show that E[X|X>1] = E[X] + 1.
(b) Find the conditional expected value of X in Problem given that a message gets through in the first time slot.
(c) Find E[X] by using the results of parts a and b.
(d) Find E[X2 ]and VAR[X] using the approach in parts b and c.
Binary data is transmitted at the rate of Rb bits/sec over a channel occupying a bandwidth B and the channel SNR=3 dB. If the data bit rate is increased to 2.65Rb and the bandwidth is increased to 1.75B i.
Describe the functionality of the above DFSM using transition tables. Consider that the system starts always from state B. What happens if the system will start from another state - say A?
Using SR Flip-flops and NAND gates, design a system that outputs 1 if it takes an even number of clock cycles to recognize the pattern 11-0-101. Otherwise it outputs 0.
A sheet of plywood 1.39 cm thick is used to make a cabinet door 55.5 cm wide by 69.5 cm tall, with hinges mounted on the vertical edge. A small 181-g handle is mounted 45 cm from the lower hinge at the same height as that hinge.
A 50-W lossless line has a length of 0.4. The operating frequency is 300 MHz. A load ZL = 40 + j30 ohm is connected at z = 0, and the Thevenin-equivalent source at z = -l is 12
A 50 ohms lossless transmission line is to be connected to a load of 25 ohm. Use a lamda/4(quarterLamda) length of line of unknown impedance between the load and the 50-ohm line to match it,
Baseband digital trnamission and multi level coding, A baseband digital data link transmits polar binary NRZ current pulses at a rate of 1.0 Msps. The link uses ideal RRC filters with roll off factor r = 0.5.
A hybrid communication system uses both AMSC and FM. The information signal a(t) is first AMSC modulated with the subcarrier frequency 1000 Hz. Then it passes through an FM modulator with the carrier frequency 10Mhz.
Gold cost about $100 an ounce in 1971. In 2007, the cost of an ounce of gold is hovering around $800. compute the average price increase for gold.
Frequency Range, Local Oscillator Frequency, Image Frequency, and Attenuation, A radio receiver for the AM broadcast band covers the frequency range 550 to 1600 kHz. The IF frequency is 455 kHz and the local oscillator is above the received signal..
Power factor improvement, An industrial user has a number of machine tools which are driven by three phase induction motors. during a particular shift, the power factor of the combined load can vary between 0.65(100 KVA load) and 0.81 (20 KVA) loa..
Point charge 1.5{\rm \mu C} is located at x = 0, y = 0.30 {\rm m}, point charge -1.5{\rm \mu C} is located at x = 0 y = -0.30 {\rm m}. What are (a)the magnitude and (b)direction of the total electric force that these charges exert on a third point..
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