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Three independent diversity branches are used to transmit a BPSK modulated data over a channel described by: y= sqrt(p)*h*x+n. where y is the recieved signal, x is the transmitted signal (+or-1 with equal probabilities). Assume that h is a random variable with PDF. Pn(h)=0.1*d(h-1)+0.9d(h-3). n is a zero mean white gaussian noise with variance 0.5. Assume that the channel state info is available at the reciever for each of the three branches.
(a) what is the optimal decision rule at the reciever?
(b) What is the probability of error with equal gain combining?
(c) What is the probability of error with MRC?
(d) What is the probability of error with SC?
(e) What is the probability of error if we make hard-decision on each branch and then use majority-logic combining to make the final decision?
(f) What is the probability of error if we select the "best" two branches, and then use MRC with these two branches?
(g) Order the schemes of (b) through (f) from best to worst in terms of performance for large SNRs.
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Describe how you would prepare 500 mL of 1.75 M HCl solution starting out with an 8.61 M stock solution of HCl.
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A computer has a word length of 8 bits including sign. A= 10101011, B = 01101111 are 2's complement numbers. Perform the following operations and indicate whether overflow occurs: (2p) (a) A+B (2p) (b) A-B (2p) Give the decimal values of A and B
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The cross section of a cottage 20 ft wide is an isosceles triangle. If the slope of a side is 1.75 and there is a second floor 9 feet above the ground floor,What is the angle at each tip of the cottage?
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