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Spectrum analysis is often applied to signals comprised of sinusoids. Sinusoidal signals are particularly interesting, because they share properties with both deterministic and random signals. On the one hand, we can describe them in terms of a simple equation. On the other hand, they have infinite energy, so we often characterize them in terms of their average power, just as with random signals. This problem explores some theoretical issues in modeling sinusoidal signals from the point of view of random signals. We can consider sinusoidal signals as stationary random signals by assuming that the signal model is s[n] = A cos(ω0n + θ ) for -∞
(a) Show that the autocorrelation function for such a signal is
(b) Using Eq. (11.34), write the set of equations that is satisfied by the coefficients of a 2nd-order linear predictor for this signal.
(c) Solve the equations in (b) for the optimum predictor coefficients. Your answer should be a function of ω0.
(e) Use Eq. (11.37) to determine an expression for the minimum mean-squared prediction error. Your answer should confirm why random sinusoidal signals are called "predictable" and/or "deterministic."
Why fluids are important in chemical engineering - enormous number of materials normally exist as gases or liquids, or can be transformed into such phase and explain systematic description of change in fluid systems, mechanical change
Acetylene is formed as a by-product in the manufacture of ethylene. It is removed by selective hydrogenation using noble metal catalysts (see, for example, US 7,453,017). A particular catalyst achieves 90% acetylene saturation with 50% hydrogen se..
Prepare the design and evaluation of a new chemical manufacturing process.
Derive a Differential Equation which will show how temperature in the tank changes with time. State assumption used. Solve this model to obtain T(t) given that T(t=200s) = 50°C.
The efficiency at rated load, 0.8 power factor lagging, and at half-load, unity power factor.
The overall reaction in a commercial heat pack can be represented as: 4Fe(s)+ 3O2(g) yields 2Fe2O3(s); delta H=1652 kJ a. How much heat is released when 4.00 mol iron is reacted with excess O2?
The tank is heated slowly in such a way that the temperature in both parts rises at the same rate. As soon as the alarm goes off, the heating stops. Which alarm goes off, that of part A or part B?
A sealed tank contains saturated steam at 5 bar. The volume of the tank is1m3. Heat is added until the pressure in the tank pressure doubles. What is the final temperature?
You have a heat pump that takes in 256 kW of heat and puts out 604 kW of heat. What is the coefficient of performance (C.O.P.) of the system ( express this value as a fraction)?
Explain the Integral and Differential method of analysis for finding the rate of reaction.(May-2005)2.For the elementary reaction in series Ak1Rk2S if k1= k2and at t = 0, CA= CAoandCRo= CSo= 0, find the maximum concentration of R.
One type of commercial smoke detector contains a minute amount of radioactive americium-241 (241Am), which decays by -particle production.
The composition of a gas derived by the gasification of coal is, volume percentage: carbon dioxide 4, carbon monoxide 16, hydrogen 50, methane 15, ethane 3, benzene 2, balance nitrogen. If the gas is burnt in a furnace with 20% excess air, calcula..
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