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1. Show that the sum-rate capacity of the AWGN MAC is achieved by having all users transmit at full power.
2. Derive the optimal power adaptation for a two-user fading MAC that achieves the sum-rate point.
3. Find the sum-rate capacity of a two-user fading MAC where the fading on each user's channel is independent. Assume each user has
(i) a received power of 10 mW and
(ii) an effective noise power of 1 mW with probability .5 or 5 mW with probability
6.Yo would like to estimate the effect of police size on city-level crime on a cross-section of cities. A regression of crime rate on police size (per population) gives an estimate of 0. Suppose that people make their city increase police size if cri..
demand deposits on the liabilities side of its balance sheet. Assets Liabilities Reserves $36,000 Demand Deposits $300,000 Loans If the legal reserve requirement is only 5%, the balance sheet above shows that the bank holds
In auditing intangible assets, an auditor most likely would review or recompute amortization and determine whether the amortization period is reasonable in support of management's financial statement assertion of:
Suppose that the Fed raises the reserve requirement on transactions deposits to 0.18 = 18%. What happens to Princeton Bank's balance sheet Does it have excess reserves, or is it short of reserves? Calculate the new M1 and M2 multipliers. What happ..
Solve the following linear programming model graphically. In addition, write the problem in standard form and do a constraint analysis for the optimal solution. Minimize 10x + 15y Subject to 5x + 2y ? 40 x + 2y 0
If the costs are expected to increase by $250 each year for the next 4 years (i .e., through year 5), what is the equivalent annual worth of the costs (years 1 through 5) at an interest rate of 18% per year? Please use P=A(P/A, i, n) or whatever y..
a. Calculate the marginal revenue product at each level of labor input if output sells for $4 per unit. b. If the wage rate is $15 per hour, how much labor will be hired c. What is the firm's total revenue and total amount paid for labor at the level..
Analyze the effect of the following two policies: first, a subsidy to research; second, a patent policy, in which each patent expires at the rate ι > 0. Explain why the effects of these policies on economic growth are different than their effects ..
After understanding the meaning of EOU and reviewing different examples in your textbook, the exercise below will allow you to practice how to define and calculate an EOU. Your Course Business Plan (to be developed by you as your Final project) wi..
How will the fall in consumer confidence affect consumption, investment, and private saving? Will the attempt to save more necessarily lead to more saving? Will this attempt necessarily lead to less saving?
The "graying of America" will substantially increase the fraction of the population that is retired in the decades to come. To illustrate the implications for U.S. living standards, suppose that over the 49 years following 2009 the share of the po..
What is a currency board? Describe the strict rules about the composition of reserves and domestic credit that apply to this type of monetary arrangement.
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