Consider the output of an envelope detector given by y(t) = {[A + Ackam(t) + n(t)]+...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the output of an envelope detector given by y(t) = {[A + Ackam(t) + n(t)]²+ n(t)}¹/², where A is a Bernoulli random variable taking values of +1 and -1. We know P[A₂ = 1] = g and P[A₂ = -1] = 1- q. (a) Assume that the probability of the event no(t) > e Ac(1 + m(t)), e<< 1, is equal to or less than 6₁, whereas the probability of the event no(t) > Ac(1-m(t)), <1, is equal to or less than 62. If we consider these two events are exclusive, what is the probability that the effect of the quadrature component no(t) is negligible? (b) Suppose the probability of the event Ac[1+m(t)] +n(t) < 0 is equal to 63 and the probability of the event A[1 m(t)] + n(t) < 0 is equal to 64. Consider these two events are exclusive and find the probability that the following approximation is valid. y(t) Ac[1+ kam(t)] + n(t). - Consider the output of an envelope detector given by y(t) = {[A + Ackam(t) + n(t)]²+ n(t)}¹/², where A is a Bernoulli random variable taking values of +1 and -1. We know P[A₂ = 1] = g and P[A₂ = -1] = 1- q. (a) Assume that the probability of the event no(t) > e Ac(1 + m(t)), e<< 1, is equal to or less than 6₁, whereas the probability of the event no(t) > Ac(1-m(t)), <1, is equal to or less than 62. If we consider these two events are exclusive, what is the probability that the effect of the quadrature component no(t) is negligible? (b) Suppose the probability of the event Ac[1+m(t)] +n(t) < 0 is equal to 63 and the probability of the event A[1 m(t)] + n(t) < 0 is equal to 64. Consider these two events are exclusive and find the probability that the following approximation is valid. y(t) Ac[1+ kam(t)] + n(t). -
Expert Answer:
Answer rating: 100% (QA)
a If the probability PIngt cA 11 kamt 1 8 then with a probab... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Consider the output of an envelope detector defined by Equation (2.92), which is reproduced here for convenience y (t) = {[Ac + A c k a m (t) + n l (t)] 2 + n 2 Q (t)} 1/2 (a) Assume that the...
-
To be able to better predict the output of an oil field, researchers2 collected data that included y = the yearly output (100,000 barrels) and the number of new well drilled (1000) in the previous...
-
Consider the system illustrated in figure. The output of an LTI system with an impulse response h[n] = (1/4)nu[n + 10] is multiplied by a unit step function u[n] to yield the output of the over all...
-
4. (23 pts) A plate is loaded so that a state of plane strain (Ezz- &zx=&zy =0) exists. (a) Determine the displacements for the plate for the deformations shown, i.e. finding u-Cixy and v=C2xy. (b)...
-
State and explain the basic idea of the principle of utility or the greatest happiness principle.
-
What constitutes false imprisonment?
-
Match the measures of worth in the first column with one (or more) of the analysis approaches that is (are) appropriate for that measure. Measure of Worth (a) Annual Worth (b) External Rate of Return...
-
Capitalization of Interest Laserwords Inc. is a book distributor that had been operating in its original facility since 1985. The increase in certification programs and continuing education...
-
3. Suppose f: RR is continuous and U CR. Assume R has the usual Euclidean metric. (a) Define U is "open" in R.
-
There is an array A made of N integers. Your task is to choose as many integers from A as possible so that, when they are put in ascending order, all of the differences between all pairs of...
-
When course cultural communication skills are being used does that include learning the language or is it much deeper than that? Is it the entire package of communication including body language and...
-
Isabella works two part time jobs. One job is at a restaurant that pays $11 an hour and the other is delivering groceries for $17.50 an hour. Between the two jobs Isabella wants to earn at least $570...
-
A parsec is a unit of distance in astronomy equal to approximately 3 light-years. The center of our galaxy is 8 kiloparsecs away. How many light-years away is the center of our galaxy? x10 light-years
-
A trader purchases 300 shares of stock at $40 per share. She borrows $4,000 from her broker to help pay for the purchase. The maintenance margin requirement is 30%. a) If the share price next day...
-
inflation for year ended 2017 was 1.37%. Assume inflation is expected to continue at 1.37% per year and that you expect to earn 5.00% more, or 6.37% per year, on your investment portfolio. Compute...
-
Most employer retirement plans offered today are define contribution plan . The most popular savings vehicle for defined contribution plans are 401(k)s. The most popular options for investing in...
-
Consider a mortgage originated with a 5-1 ARM with a 3.5 percent rate and a 30-year amortization period on November 9, 2016. The rate from that mortgage is 3.5 percent. The rate reset after five...
-
Determine the center and radius of each circle. Sketch each circle. 4x 2 + 4y 2 9 = 16y
-
The step-size parameter plays a critical role in the operation of the LMS algorithm. In this context, discuss the following two issues: (a) Stability. If exceeds a certain critical value, the...
-
Consider a chain of (n 1) regenerative repeaters, with a total of n sequential decisions made on a binary PCM wave, including the final decision made at the receiver. Assume that any binary symbol...
-
Prove the properties given in Equations 979) to (9.81) for the mutual information I(X; Y).
-
Consider a particle in a Newtonian potential \(V(r)=-k / r+\epsilon / r^{n}\) for some integer \(n\). Using the alternate variable \(u=1 / r\), (a) show that the radial equation of motion can be put...
-
The celebrated Lorentz attractor is described by the differential equations \[\frac{d x}{d t}=-\sigma x+\sigma y \quad, \quad \frac{d y}{d t}=-x z+\alpha x-y \quad, \quad \frac{d z}{d t}=x y-\beta...
-
Consider the one dimensional harmonic oscillator with angular frequency \(\omega\) perturbed by the small non-linear potential \(\epsilon q^{4}\). (a) Find the solution using the perturbation...
Study smarter with the SolutionInn App