Problem 05.008-Properties of the convolution of two rect functions. 4 points what are the maximum and...
Name: UIN: Course No 4. (20 points, 5 points each) Two finite length signals, nijej and rlel are given Let y(n] be the linear convolution of a ej and lal (a) Detemine yin) (b) Ifwe execute the following Matlab script to get yiin what is ynn List all values in y(n) p-ifftfh,8).h,8)),8)% (hint: 8-point circular convolution) (c) Ifwe execute the following Matlab script to get yinl what is ylm? List all values in yin n- ifhiiff,10)ffhc,10)),10)(hint: 10-point circular convolution) Write...
Question 1: Compute graphically the convolution, f(t) fit) f2(t), of the following two time-functions (t) and f2(t). Sketch your final result f(t)· (Hint: To avoid having to do twice as many calculations, you may want to use these properties of convolution: the distributive and the shift properties.) fi(t) f2(t) +3 +4 +5 -1 0 +1 t -1 0
Compute graphically the convolution, f (t)-fi(t f2(t), of the following two time-functions (t) and f3(t). Sketch your final result f(t)· (Hint: To avoid having to do twice as many calculations, you may want to use these properties of convolution: the distributive and the shift properties.) fi(t) f2(t) -1 0 +1t -1 -1
Problem 4 (25 Points) Obtain the Fourier transform of f(t), where f(t) = rect(2 ) cos(0.5t - 471) + recte le using relevant Fourier transform pairs and Fourier transform properties from the tables.
9.6 Maximum and Minimum Values Find the local maximum, minimum, and saddle points of the following functions. f(x,y) = ycost f(x,y) - * (x2 - y2)
Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a) b) x(o) - rect ()17 Solution: Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a)...
4. (20 points) Find the local minimum and local maximum values and saddle points of the function f(x, y)= 4ary- xy-ay2 4. (20 points) Find the local minimum and local maximum values and saddle points of the function f(x, y)= 4ary- xy-ay2
73 Optimizing Functions of Several Variable Problem 6 Previous Problem List Next (2 points) Consider the function f(x, y) = e Ax-x2-6-y Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank fx = fy = fix fxy - fyy The critical point with the smallest x-coordinate is | (local minimum, ) Classification: local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate...
Write templates for the two functions minimum and maximum. The minimum function should accept two arguments and return the value of the argument that is the lesser of the two. The maximum function should accept two arguments and return the value of the argument that is the greater of the two. Test your functions in a main program that propmts the user to choose what type of data they would like to compare (ints, doubles, or strings). Then, it should...
b) (4 points) We wish to use the DFT to perform linear convolution of the two sequences Xi = [1 2] x2 = [1 2 3 4 5] giving the result y[n] Explain briefly what must be done to get the answer (show steps) (3 points Sketch the bounder of Inte is the enery of signal xInland F. (525E) is