Use the power spectral density P(n4f), generate stochastic processes s(mT) having this energy distribution where T...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Use the power spectral density P(n4f), generate stochastic processes s(mT) having this energy distribution where T is the sampling period and M the desired number of signal samples in time. This is easily done through the following equation s(m + 7) = √2 + df √P(n)cos (2ñ *n+df + m + T + y) n=0 Where: s(m*T) ~ The stochastic process df ~ frequency resolution (fs/N) P(n) ~ the PSD mT ~ the amount of time covered for m samples ~ Random phase from U[0,27] where each , is drawn from U[0,2]. The square root is necessary to transform from "power" to "voltage." The factor of one half takes into consideration that power spectra of real signals are symmetric in frequency and only positive frequencies are used in this formulation. Multiplication by the sampling period T scales the power to the correct level. Keep in mind that computers don't know absolute time and frequency. Therefore example P(nAf) is the nth PSD value in a vector. Like the cosine about is the mth element of a vector of length M. Labeling frequency axes and time axes requires your consideration and DSP expertise. The amplitude of synthesized signals may differ from original ones provided, but their characteristics should look the same. Provide plots of the signals that you synthesize. Comment on their similarity or difference from the provided signals • Provide your source code Use the power spectral density P(n4f), generate stochastic processes s(mT) having this energy distribution where T is the sampling period and M the desired number of signal samples in time. This is easily done through the following equation s(m + 7) = √2 + df √P(n)cos (2ñ *n+df + m + T + y) n=0 Where: s(m*T) ~ The stochastic process df ~ frequency resolution (fs/N) P(n) ~ the PSD mT ~ the amount of time covered for m samples ~ Random phase from U[0,27] where each , is drawn from U[0,2]. The square root is necessary to transform from "power" to "voltage." The factor of one half takes into consideration that power spectra of real signals are symmetric in frequency and only positive frequencies are used in this formulation. Multiplication by the sampling period T scales the power to the correct level. Keep in mind that computers don't know absolute time and frequency. Therefore example P(nAf) is the nth PSD value in a vector. Like the cosine about is the mth element of a vector of length M. Labeling frequency axes and time axes requires your consideration and DSP expertise. The amplitude of synthesized signals may differ from original ones provided, but their characteristics should look the same. Provide plots of the signals that you synthesize. Comment on their similarity or difference from the provided signals • Provide your source code
Expert Answer:
Answer rating: 100% (QA)
answer To generate stochastic processes according to the provided equation sm72dfPncos2ndfmTy and to ... View the full answer
Related Book For
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
Posted Date:
Students also viewed these operating system questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
The cost of a can of Coca Cola in 1960 was $0.10. The exponential function that models the cost of a Coca Cola by year is given below, where t is the number of years since 1960. C(t) = 0.10e0.0576t...
-
Repeat parts (a)(c) of Problem 9.14 for a dipole of length l = 3l/4.
-
On November 15, Alex and Deanna Kent come to you for tax advice. The Kents, a married couple that files a joint tax return, own a rental home in Southern California. From January to November 1 of the...
-
Using the variance data for Menounos Manufacturing Co., prepare an income statement through gross profit for the year ended December 31, 20Y6. Assume the company sold 3,000 units at $100 per unit.
-
The comparative condensed income statements of Hendi Corporation are shown below. Instructions(a) Prepare a horizontal analysis of the income statement data for Hendi Corporation using 2010 as a...
-
The downward acceleration of a 50-kg stuntwoman near the end of a fall from a very high building is 5.8 m/s2 . What resistive force does the air exert on her body at that point.
-
Use discriminant analysis to classify the new data in the Excel file Credit Approval Decisions Coded using only credit score and years of credit history as input variables.
-
Explain the relationship between demand, supply, and equilibrium in the market for a public good. By plotting the necessary graphics.
-
How can the growth of intermodal transportation affect the product's supply and demand? Discuss the major points of the article. How do transportation costs affect others? Please be specific. Discuss...
-
A person's weight, w, on a planet of radius d is given by w= kd, k> 0. where the constant k depends on the masses of the person and the planet. Your answer is incorrect. (a) A man weighs 180 lbs on...
-
Two public companies (Jensen and Jackson) operate in the same industry, will generate exactly the same operating profit, and have identical net operating assets. What is the weighted average cost of...
-
Syed, who is 1.64 m tall, wishes to find the height of a tree with a shadow 35.12 m long. He walks 21.45 m from the base of the tree along the shadow of the tree until his head is in a position where...
-
A stone is thrown vertically upward with speed 15 m/s from edge of a cliff 75.0 m high. a) How much later does it reach the bottom of the cliff? b) What is the speed just before hitting? c) What...
-
1.What is the hybridization in the central atom of: a. HCN b. NH4 c. TeBr2 2. Draw the molecular orbital electron configuration energy diagram of He2 and determine the bond order. 3. Draw the...
-
Flicker, Inc., a closely held corporation, acquired a passive activity this year. Gross income from operations of the activity was $160,000. Operating expenses, not including depreciation, were...
-
Consider a photon emitted by an atom at rest on the surface of a static star with mass M and radius R. Analyze the photons motion in the Schwarzschild coordinate system of the stars exterior, r R >...
-
Consider a mass m attached to a spring, so it oscillates along the z-axis of a Cartesian coordinate system, moving along the world line z = a cos t, y = x = 0. Use the quadrupole-moment formalism to...
-
At time t = 0, a 2-dimensional barotropic flowhas a velocity field, in circular polar coordinates, v = (j/)e (Fig. 14.1b); correspondingly, its vorticity is = 2j(x)(y)e z : it is a delta-function...
-
State whether you think a business would recognise the following as an expense. When would it be recognised? a Depreciation $350 b Wages to be paid in the next month $1200 c Electricity bill due to...
-
What is the difference between operating expenses and non-operating expenses. Give examples of each.
-
What is the link between the income statement and the statement of owners equity?
Study smarter with the SolutionInn App