Question 4 (1 point) Suppose P(M) = 0.5, P(N) = 0.5 and P( M and N) = 0 Find P((M and N)) 0.25 0.0 0.5 1.0 0.75 Previous Page Next Page 0 AM
Question 40 (1 point) Suppose P(M) = 0.5, P(N) = 0.5 and P( M and N) = 0 Find P(MorN) 0.25 1.0 0.5 0.0 0.75 Previous Page W
How to get Z(n)? especially n=2,n=3.
Mn) xin) -In 0.5 0.5 (2-m)s I-m)s f4-m)s 3-ms PN 01 2 3 4 2(n) 0.5
Mn) xin) -In 0.5 0.5 (2-m)s I-m)s f4-m)s 3-ms PN 01 2 3 4 2(n) 0.5
%code_5_1_Sayama.m
%
% This script makes a phase portrait for
% x(n) = 0.5*x(n-1) + y(n-1);
% y(n) = -0.5*x(n-1) + y(n-1);
%
% Initial conditions:
% x0 ranges from -2 to 2 in increments of 0.5
% y0 ranges from -2 to 2 in increments of 0.5
%
% t=30 timesteps
%
% Modified from Sayama, by C. Bliss
%
======================================================================
t=30; %timesteps
x=zeros(1,t);
y=zeros(1,t);
for a=-2:0.5:2
for b=-2:0.5:2
%initialize x and y
x(1)=a;
y(1)=b;
%run the simulation...
Determine the z-transform of the following sequences and their ROCs: a) x(n) = (0.5)" for n> 5, and zero for all other values of n; b) x(n)= (0.5)"[u(n) - u(n-7)]; c) x(n)=(-1)"a"u(n), 0 <a<1.
3. The Hann window function can be written as tefn] = [0.5-0.5 cos(2m/N)] wR[n], where wRn] is the rectangular window of length N +1 (a) Express the DTFT of w[n] in terms of the DTFT of wRn (b) Explain why the Hann window has the wider mainlobe but lower sidelobes than the rectangular window of the same length.
3. Let Tn(x) be the degree n Chebyshev polynomial. Evaluate Tn (0.5) for 2 <n < 10, by applying the three-term recurrence directly with x = 0.5, starting with T.(0.5) = 1 and Ti(0.5) = 0.5.
Question 4. (20 points) Compute the DTFT of the discrete-time signals, 1) x[n] = n(0.5)"u[n]. (opt) 2) x[n] = n(0.5)”cos(4n)u[n]. (opt) 3) x[n] = (0.5)" cos(4n)u[n]. (7pt)
1. A causal LTI system is implemented by the difference equation y(n) = 2r(n) - 0.5 y(n-1). (a) Find the frequency response H/(w) of the system. (b) Plot the pole-zero diagram of the system. Based on the pole zero diagram, roughly sketch the frequency response magnitude |H'(w). (c) Indicate on your sketch of H w , its exact values at w=0, 0.5, and . (d) Find the output signal y(n) produced by the input signal (n) = 3 + cos(0.5...
Rays from a point object are incident on a prism of index of refraction n (shown) at near normal incidence. Calculate the de- viation angle of the rays. (n-0.5) α (D) (A) (B) (C) α (n +0.5) α (E) (n 1) a (n1) a
Rays from a point object are incident on a prism of index of refraction n (shown) at near normal incidence. Calculate the de- viation angle of the rays. (n-0.5) α (D) (A) (B) (C) α (n...