# Author: hwmadeeasy

# The joint probability density function of X and Y is given by f(x,y)=67(x2+xy2)0Y}. (d) Find P{Y> \frac { 1 } { 2 } | X < \frac { 1 } { 2 } } , (e) Find E[X]. (f) Find E[Y}.

The joint probability density function of X and Y is given by f(x,y)=67(x2+xy2)0<x<1,0<y<2" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: … Continue reading The joint probability density function of X and Y is given by f(x,y)=67(x2+xy2)0

# Find the magnetic field intensity (đģ”â) for all points in the space for the given current distribution. I, đŧ, đŊ’,đ, đđđ đž đđđ đđđđ đĄđđĄđđĄđ . Note that there is no current for đ > đ b) Find the magmetic field intensity for just before and after đ = đ đđđ đ = đ (need to do on â an d + of b and c) c) Examine magentic boundary conditions at đ = đ đđđ đ = đ For this part you need to set up “”””â “”””â 9đģ: â đģ<=đĨđ? đđđđđĄđđđĻ đ? đ¤hđđĄ đđ đđđ đ hđđ¤ đđ đĄhđ đđđĸđđđđđĻ đđđđđđĄđđđ đ¤đđđđ đĄđ đđđĄ đđĸđđ đđđđđĄđ Finally, please remember H is a vector and need to be clearly show, how you find the magniture and what is the vector in each region

# Problem 1 Write MATLAB Program to compute and plot the frequency response of a causal LTI discrete-time system with a transfer function given by for 0 īŖ īˇ īŖ ī° . What type of filter does it represent? H(z) īŊ 0.15(1ī zī2 ) 1ī0.5zī1 īĢ0.7zī2 Problem 2 Repeat Problem 2 for the following transfer function: H(z) īŊ 0.15(1ī zī2 ) 0.7ī0.5zī1 īĢzī2 What is the difference between the two filters in problem 1 and problem2, respectively? Which one will you choose for filtering and why? Problem 3 1. Find this filter impulse response. 2. Find the output of the filter when the input x[n] using linear convolution. 3. Find the filter frequency response using a. MATLAB (freqz) and b. MATLAB (FFT). 4. What was the effect of the filter on the signal? Explain! 5. Is the frequency response of the filter consistent with the result obtained in part 2? Explain. 6. Find the filter frequency response by hand. Is this result consistent with the one obtained in part 3? 7. What type of a filter is this one (LP, BP, or HP). 8. Repeat all parts from 1 to 7 for the following causal FIR filter y[n] = 0.5 x[n] -0.5 x[n-1] Given the following signal x[n]= [20 18 22 17 23 19 21 17 18 14 16 12 14 11 12 9 10 7 8 4 7 ] and a causal FIR filter characterized by the following difference equation: y[n] = 0.5 x[n] + 0.5 x[n-1] Ikhlas Abdel-Qader Page 1 of 1 5/14/2020

Problem 1 Write MATLAB Program to compute and plot the frequency response of a causal LTI discrete-time system with a transfer function given by for 0 . What type of filter does it represent? H(z) 0.15(1 z2 ) 10.5z1 0.7z2 Problem 2 Repeat Problem 2 for the following transfer function: … Continue reading Problem 1 Write MATLAB Program to compute and plot the frequency response of a causal LTI discrete-time system with a transfer function given by for 0 . What type of filter does it represent? H(z) 0.15(1 z2 ) 10.5z1 0.7z2 Problem 2 Repeat Problem 2 for the following transfer function: H(z) 0.15(1 z2 ) 0.70.5z1 z2 What is the difference between the two filters in problem 1 and problem2, respectively? Which one will you choose for filtering and why? Problem 3 1. Find this filter impulse response. 2. Find the output of the filter when the input x[n] using linear convolution. 3. Find the filter frequency response using a. MATLAB (freqz) and b. MATLAB (FFT). 4. What was the effect of the filter on the signal? Explain! 5. Is the frequency response of the filter consistent with the result obtained in part 2? Explain. 6. Find the filter frequency response by hand. Is this result consistent with the one obtained in part 3? 7. What type of a filter is this one (LP, BP, or HP). 8. Repeat all parts from 1 to 7 for the following causal FIR filter y[n] = 0.5 x[n] -0.5 x[n-1] Given the following signal x[n]= [20 18 22 17 23 19 21 17 18 14 16 12 14 11 12 9 10 7 8 4 7 ] and a causal FIR filter characterized by the following difference equation: y[n] = 0.5 x[n] + 0.5 x[n-1] Ikhlas Abdel-Qader Page 1 of 1 5/14/2020