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Consider a frequency-selective fading channel with total bandwidth 12 MHz and coherence bandwidth Bc = 4 MHz. Divide the total bandwidth into 3 subchannels of bandwidth Bc , and assume that each subchannel is a Rayleigh flat-fading channel with independent fading on each subchannel. Assume the subchannels have average gains E[|H1(t)|2] = 1, E[|H2(t)|2] = .5, and E[|H3(t)|2] = .125. Assume a total transmit power of 30 mW, and a receiver noise spectral density of .001µW per Hertz.
(a) Find the optimal two-dimensional water-filling power adaptation for this channel and the corresponding Shannon capacity, assuming both transmitter and receiver know the instantaneous value of Hj(t), j = 1, 2, 3.
(b) Compare the capacity of part (a) with that obtained by allocating an equal average power of 10 mW to each subchannel and then water-filling on each subchannel relative to this power allocation.
The time taken to download software from the internet is uniformly distributed between four and ten minutes. A. What is the probability that the downloading time for software is more than six minutes B. Prob that time is between five and eight minute..
Determine the decimal value of each of the following SIGNED binary number displayed in the 2's complement form: a. 10011001 b. 01110100 c. 10111111
The input impedance of a 31cm long lossless transmission line of unknown characteristic impedance was measured at 1 MHz. With the line terminated in a short circuit, the measurement yielded an input impedance equivalent
You also have frequency doublers, mixers and an oscillator with an adjustable frequency from 13 to 14 MHz. There are also bandpass filters of any specification.A. Draw the block diagram of the system.
Compare the frequency response magnitudes for each of the responses above (will need to plot on a logarithmic scale). Comment on the observations noting things such as if the signals are resolvable, the size of the side lobes, etc.
The location of the zeroes in the spectrum suddenly changes to 5 kHz, 10 kHz, 15 kHz.... What parameter of the rectangular pulses has changed and what is its new value?
A 75-ohms lossless transmission line is terminated in a load ZL = 80+j60. The line is length lamda/8 long and connected to a line Z0= 50-ohms. What is the input impedance on the 50-ohms line, lamda/8 from the junction
In a steam plant where you work, the turbine develops 1000 kW. The heat supplied to the steam in the boiler is 2800 kJ/kg and the heat rejected by the steam to the cooling water in the condenser is 2100 kJ/kg.
How does this cost compare with the current cost of new coal figured generation at 3.5¢/kWh? Write a brief (400 words or less) argument on why Colorado should or should not shut down its coal power plants and replace them with wind farms?
Suppose station A and B are interconnected through two parallel unreliable links, where each link has a failure probability of 0.1. Calculate the average seconds per day when A and B lose communication.
Two data streams are coming serially to a system. These two streams are carefully observed and if considering any three bits from each stream, we observe that these two input streams are equal ; the FSM gives a signal to an alarm system.
There are three different beams and they asked us to choose which beam would you use to build an object that incurs high stress. Should I choose the beam with the lowest deflection or with the highest deflection
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