Calculate a linear estimate of the telemetry voltage

Reference no: EM131083757

A telemetry voltage V, transmitted from a position sensor on a ship's rudder, is a random variable with

A receiver in the ship's control room receives R = V +X, The random variable X is a Gaussian (0, √3) noise voltage that is independent of V. The receiver uses R to calculate a linear estimate of the telemetry voltage:

Find

(a) the expected received voltage E[R],

(b) the variance Var[R] of the received voltage,

(d) a∗ and b∗, the optimum coefficients in the linear estimate,

(e) e∗, the minimum mean square error of the estimate.

Reference no: EM131083757

Questions Cloud

Discuss function of war for the various civilization studied : Discuss the function of war for the various civilizations studied. Discuss the similarities and dissimilarities of the various political institutions studied. Discuss the place of social justice for the civilizations studied.

Compute the least mean square linear estimator : (a) For each pair of random variables, indicate whether the two random variables are independent, and compute the correlation coefficient ρ.

List at least five thematic keyword that you connect : Discuss it in relation to an idea you were working with in relation to a course text, and consider ways the object may give further insight into an issue in a text. What part of the text? How does it connect/add information and ideas?

Formulate appropriate hypotheses : Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased by more than 5 percent. Choose the correct null and alternative hypotheses (a, b, or c).

Calculate a linear estimate of the telemetry voltage : A receiver in the ship's control room receives R = V +X, The random variable X is a Gaussian (0, √3) noise voltage that is independent of V. The receiver uses R to calculate a linear estimate of the telemetry voltage:

What are goals you have to achieve in order to meet : As a teacher, what are three to five goals you have to achieve in order to meet the needs of students with visual impairments? What are three to five goals you have to achieve in order to meet the needs of students with hearing impairments?

Analysing investment opportunities : Your company has traditionally used the net present value criterion for analysing investment opportunities. It has recently been proposed that it should switch to a shareholder value approach. Discuss the advantages of doing so.

Describe how the watergate events changed american views : Describe how the Watergate events changed American views toward politics and politicians. In your view, how did these events change the press coverage of politicians?

What is the absorbance of the resulting solution at 580 nm : What is the absorbance of the resulting solution at 580 nm in a 2.50-cm cell') See Problem 13-8 for absorptivity data.

User Account

All Pages