3. The Hann window function can be written as tefn] = [0.5-0.5 cos(2m/N)] wR[n], where wRn]...
Define the rectangular window as follows: wlnl otherwise (a) Show that its DTFT has the following expression: W(eju)-e-jaa, sin Me Find out what the constant α is. sin(?) (b) Make a sketch of IW(ejoj as a function of ω for the case of M-4, and show where the zero crossings are. (c) Now, consider the Hann window defined as follows, πη 2M 0, otherwise. Make a sketch of wH[n]
Define the rectangular window as follows: wlnl otherwise (a) Show that...
using MATLAB
Q5. Let x(n) = T(n) be the next function: T(n) = [0.5 +0.5cos(in/N)] Where N = 50 and n = [0 : M]. Using the properties of the DTFT, determine and plot the DTFT (magnitude and phase normalized in w) of the following: 1. X(n) = T(-n). 2. X(n) = T(n) enten
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problem! I don't understand the solution, I just need a detail
explanation step by step so I can understand this problem with all
the subparts! Thanks!
3.5 Find the power spectrum for each of the following wide-sense stationary random processes that have the given autocorrelation sequences (a) rx(k) 26(k)j8(k -1)-j(k+1) (b) T(k)(k)2(0.5) (c) T(k)26(k)+cos(Tk/4) (d) rx(k)=' 10 k k< 10 ; otherwise Solutioin (a) This autocorrelation sequence is finite in...
Kinetic energy K (Chapter 5) has dmensons kg-m2/s2. It can be written in terms of the momentum ρ (Chapter 6) and mass m as 2m (a) Determine the proper units for momentum using dimensional analyis. (Use the following as necessary: ko. m. and s) (b) The unit of force is the newton N, where 1 N·1 kg·m/W, what are the units of momentum p in terms o. rewton and another 'undamentaist unn (use the ble-ng- necessary: N, m, ands
5. A consumer has the utility function U= In C+In (24-N), where C is consump- tion and Nis labor supply. Her budget constraint is pC MwN, where p is the price of the consumption good, w the wage rate, and M the consumer's non- wage income. (a) Formulate the problem of utility maximization subject to the budget con- straint, and derive the first-order conditions, using the Lagrange multi- plier approach and ignoring the nonnegativity constraints. 80 1 Static optimization Find...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
The wave equation can be written as:∂^2 y/∂x^2 = 1/v^2 (∂^2 y /∂t^2) where y = y(x,t) has units of meters, x is also in meters, and t is in seconds. (a) Show explicitly that the function y(x,t) = ymsin(kx)cos(wt) satisfies the wave equation (6 points). (b) Is the function for y = y(x,t) describe a traveling wave? You must explain your answer to get full credit (2 points). 8. On a winter day with a temperature of Tc, the...
Questions 3-5
3. The predecessor to Hartree-Fock was the Hartree method, where the main difference is that the Hartree-Fock method includes an trial wavefunction by writing it as a Slater Determinant, while the Hartree method uses a simple product wavefunction that does not capture anti- symmetry. In particular, for a minimal-basis model of, the Hartree method's trial wavefunction is given in the while the Hartree-Fock trial wav is given by where and are molecular orbitals, and and coordinates of electron...
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3. Sketch a cell where N=4 (3 pts), and answer the following: a. Can this cell do mitosis? If so, describe the outcome in terms of the number of cells, their ploidy and their chromosome number. If not, explain why. b. Can this cell do meiosis? If so, describe the outcome in terms of the number of cells, their ploidy and their chromosome number. If not, explain why. 4. Assume you have...
3. (a) Ampère's law can be written in the following form: $6.d1= B.d = Hol. Use this to show that the magnetic field B inside a toroidal-shaped solenoid, with n turns per unit length and carrying a current I, has a magnitude equal to Monl. Explain how you result can be used to obtain the magnetic field inside a long straight solenoid, with n turns per unit length. {4} (b) Faraday's law can be written in the following form: $...