Consider the tri dimensional vector channel shown below, where N is an i i d normal random variable of mean 0 and variance o N, N and N3 are independent of each other, and 02 03 0, with 0 02 03 The energy per symbol is defined as E, E(X) E X) E X Xi Ni a) Calculate, for all possible values of Es, the optimum energy allocation (El E X), E2 E X2) and E3 E X2 ) Indicate also the optimal distribution of X1, X2 and X3 b) Calculate, for all possible cases in a), the capacity of the vector channel as a function of the parameters Es, 01, 02 and 03

Question: Consider the tri-dimensional vector channel shown below, where N is an i.i.d. normal random variable of mean 0 and variance o. N, N and

Consider the tri-dimensional vector channel shown below, where N is an i.i.d.

Consider the tri-dimensional vector channel shown below, where N is an i.i.d. normal random variable of mean 0 and variance o. N, N and N3 are independent of each other, and +02 +03-0, with 0

Step by Step Solution

★★★★★

3.42 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this problem we first need to calculate the optimum energy allocation for all possible values of Es and then calculate the capacity of the ve... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

In order to vertically integrate, Smithson Computer Limited has decided to buy a firm which manufactures computer hard drives. Upon contacting the U.S. Dept of Commerce, Smithson finds that all U.S....

Each of m + 2 players pays 1 unit to a kitty in order to play the following game: A fair coin is to be flipped successively n times, where n is an odd number, and the successive outcomes are noted....

Oyster Oil Company has the option to pursue leases in the following two areas: A) An onshore field, A, where: - A well costs $3.0 million to drill and complete. It costs $500,000 to connect the well...

Problem 1. Suppose that Y is a normal random variable with variance 1 and unknown mean e. It is desired to guess the value of unknown mean 0. Since the experimenter feels the loss is roughly like...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

LAB ACTIVITY #3 For each part of this lab, SUBMIT your solution to everything asked in BOLD RED in Problems 1-6 below. Include the respective R code and output. Part 1 (Continuous Distributions in R)...

Solve all. 5 Consider the success run chain in Example 8.2.16. Suppose that the chain has been running for a while and is currently in state 10. (a) What is the expected number of steps until the...

Question: Prompt: Submit a comprehensive risk analysis paper that identifies the cyberlaw foundations that affect Equifax. The framework for the assessment will include how the business model ensures...

Markov chain. 8 Consider an irreducible Markov chain on a finite state space, such that the transition matrix is symmetric (pij = pji for all i, j ? S). Find the stationary distribution. 9 Markov...

Why is an emotional connection to a car brand so important?

1. In the block diagram, the feedback- block called feedback transfer .function True False 2 .The partial fraction of this algebraic term (s+3)/(s^2+35+2) is A/(s+1)-B/(s+2) True False 3. The...

Using the elimination method, solve each of the following pairs of simultaneous equations. (c) @ 1453 *+1_3 ++ 22 3100 3435 y=3 -=12 576 (b) -- 25 225 (d) 1-3=107 11x=13y

A 3/4 A-hp motor with an efficiency of 75% runs 20% of the time during a 30-day period. If the cost of electricity is 7/kWh, how much will it cost the user?

1. Explain why non-response may bias the research results in survey research. 2. One purpose of Nelson et al. (2002) is to investigate how frequently auditors would make audit adjustments if client...

4) A hotel owner in a developing country depends on tourism for most of his business, and in order to maintain a high occupancy rate, advertises "Pure Drinking Water" on all of his billboards,...

In the game Mastermind, one player selects a "code" by inserting any combination of four pegs in a row of four hidden holes. There are six colors of pegs to choose from. The second player tries to...

A group of 15 students makes a field trip. For snacks, the chaperone has brought SIX nut crunch bars, six chocolate bars, and three toffee bars. (a) How many ways may the bars be distributed so that...

Risk is present whenWe face uncertain outcomes with potentially negative consequencesWe face uncertain outcomes with potentially positive consequencesWe face certain outcomes with negative...

David, LaDeana, and Lydia are the sole partners and workers in a company which produces fine clocks. David and LaDeana each are available to work a maximum of 40 hours per week at the company, while...

Use the upper bound technique manually to solve the following problem. Maximize Z = 2x1 + 5x2 +3x3 + 4x4 + x5, Subject to and 0 ¤ xj ¤ 1, for j = 1, 2, 3, 4, 5 1 3x23 3x4 6

Consider a situation where a particular product is produced and placed in in-process inventory until it is needed in a subsequent production process. The number of units required in each of the next...

???????? Do we really need an authoritative diagnostic manual? Why or why not? If you are a clinical psychologist, there are probably many reasons to dislike the American Psychiatric Associations...

4.8 Describe ways of understanding and treating PTSD.

4.7 Describe the key features of acute stress disorder and posttraumatic stress disorder.