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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.
You need to make a diluted solution of HCl. Your concnetrated acid is 12M. How many L of the 12M HCL will you need to make 0.76 L of a 1 M HCL solution? Your answer must inlcude units
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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.
about the situations when a differentiation strategy is chosen? Provide specific real world examples.
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Hand calculate the expression for the voltage and current of the capacitor and plot these equations by using MATLAB and calculate the time constants of each circuit and point out this time constants at your voltage graphs.
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If a circuit contains 3 automatic switches and we want that, with a probability of 95%, during a given time interval they are all working, what probability of failure per time interval can we admit for a single switch
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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How long will the cassette tape player operate at normal power? A walker's cassette tape player uses 4 AA batteries in series to provide 6V to the player circuit.
Two DTEs are communicating via modems and RS-232C interfaces over a half duplex link. Data transmission is one directional with each message of length M. After a message is transmitted, the sender waits for a CTS message.
The binary-coded-decimal (BCD) format uses 4 bits to represent 10 decimal digits. For example, 259 is represented as "0010 0101 1001" in BCD format. A BCD incrementor adds 1 to a number in BCD format. For example, after incrementing, "0010 0101 10..
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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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A PWM is used in 8-bit mode to produce a signal with a 1 msec period and 60% duty cycle. Determine the value required for any pre-scaling, and the values for the period, and duty cycle registers. The E-clock is 24 MHz.
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