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Problem 3 (20 points) Calculate the 2x2 DCT of the following 2-D signal x[n,n,]=1 L'z 01...
lig. 1 Problem 2) (20 points) A discrete-time signal x[n] is shown in Fig. 2. Sketch...
lig. 1 Problem 2) (20 points) A discrete-time signal x[n] is shown in Fig. 2. Sketch and label each of the following signals a) x[2n - 2] b) x[3n – 1] c) x[1 – n] d) x[-n - 1] x[n] -2 -1 0 1 2 1 4 n +-2 Fig. 2
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Problem 1 (20 points) Given a signal x(t) = e-지디 1) Plot the signal x(t) in...
Problem 1 (20 points) Given a signal x(t) = e-지디 1) Plot the signal x(t) in time domain. 2) Find the Laplace transform X(s) of this signal. 3) Plot the pole-zero plot and the region of convergence (ROC).
Problem 1 (10): Let x[n] be a signal with x[n] = 0 for n < -2...
Problem 1 (10): Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal below, determine the value of n for which it is guaranteed to be zero. a. x[n + 2] b. x[n - 1] c. x[-n] d. x[-n - 2] e. x[n/2] f. x[n + 1]
Problem 6 (25 points) For any discrete signal x[n], input to the system given in Figure...
Problem 6 (25 points) For any discrete signal x[n], input to the system given in Figure 6, it is known that the output y[n] is equal to x[n]. (-1)" (-1)" H (1) x[n] 0 Heº) -(n)=x[n] Hey[n]=x[n] H () Figure 6: System of Problem 6. The high-pass filters Hi(ej) and H2(ej) are given by 3 Hlejl-{ 2, s1, Hz(239) = { 0, 112 , H2(en) = { 0, 0319 Š T' 121 > 207 0 < 19213 21 Find the...
Question 5 20 marks] The model for a discrete-time received signal is Xn,b+En n= 1,2, ......
Question 5 20 marks] The model for a discrete-time received signal is Xn,b+En n= 1,2, ... , N 0 or 1, and the random variables 1, @2,,En are whereb independent and identically distributed normally with means 0 and variances , where signal, while if b = 1, the signal is present 'detect' the signal: We set this out as the formal hypothesis test 2 is known. If b=0, there is no We wish to of HA b 1 (a) Show...
Problem 3 (20 points): An array A of size (n) contains floating-point items. 1. Implement a...
Problem 3 (20 points): An array A of size (n) contains floating-point items. 1. Implement a Divide & Conquer algorithm to return the number of items with values less than a given value (x). (5 points) 2. Test your algorithm by generating an array A of size n = 1024 random floating-point numbers with each number R between 0 and 1, i.e. 0.0 <R< 1.0. Run the algorithm to find the percentage of the numbers in the array with values...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution,...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution, (a)Plot x(21) and«S),respectively. (c) Plot the following signal
MATLAB Q1 A signal x(t) is shown in the following figure: X) 3 -2 1 01...
MATLAB
Q1 A signal x(t) is shown in the following figure: X) 3 -2 1 01 2 3 sketch x( t+2).
Problem 2 (20 points) Let (2t +1, Ostsi x() +4 st 3 be a periodic signal...
Problem 2 (20 points) Let (2t +1, Ostsi x() +4 st 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar. a. Determine the value of an b. Determine ax, k 0, by: 1.first finding the Fourier coefficients of CID II.then using the appropriate property of the continuous-time Fourier series. c. Use the result of part(b) to express the Fourier transform of (t).
lig. 1 Problem 2) (20 points) A discrete-time signal x[n] is shown in Fig. 2. Sketch and label each of the following signals a) x[2n - 2] b) x[3n – 1] c) x[1 – n] d) x[-n - 1] x[n] -2 -1 0 1 2 1 4 n +-2 Fig. 2
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Problem 1 (20 points) Given a signal x(t) = e-지디 1) Plot the signal x(t) in time domain. 2) Find the Laplace transform X(s) of this signal. 3) Plot the pole-zero plot and the region of convergence (ROC).
Problem 6 (25 points) For any discrete signal x[n], input to the system given in Figure 6, it is known that the output y[n] is equal to x[n]. (-1)" (-1)" H (1) x[n] 0 Heº) -(n)=x[n] Hey[n]=x[n] H () Figure 6: System of Problem 6. The high-pass filters Hi(ej) and H2(ej) are given by 3 Hlejl-{ 2, s1, Hz(239) = { 0, 112 , H2(en) = { 0, 0319 Š T' 121 > 207 0 < 19213 21 Find the...
Question 5 20 marks] The model for a discrete-time received signal is Xn,b+En n= 1,2, ... , N 0 or 1, and the random variables 1, @2,,En are whereb independent and identically distributed normally with means 0 and variances , where signal, while if b = 1, the signal is present 'detect' the signal: We set this out as the formal hypothesis test 2 is known. If b=0, there is no We wish to of HA b 1 (a) Show...
Problem 3 (20 points): An array A of size (n) contains floating-point items. 1. Implement a Divide & Conquer algorithm to return the number of items with values less than a given value (x). (5 points) 2. Test your algorithm by generating an array A of size n = 1024 random floating-point numbers with each number R between 0 and 1, i.e. 0.0 <R< 1.0. Run the algorithm to find the percentage of the numbers in the array with values...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution, (a)Plot x(21) and«S),respectively. (c) Plot the following signal
MATLAB
Q1 A signal x(t) is shown in the following figure: X) 3 -2 1 01 2 3 sketch x( t+2).
Problem 2 (20 points) Let (2t +1, Ostsi x() +4 st 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar. a. Determine the value of an b. Determine ax, k 0, by: 1.first finding the Fourier coefficients of CID II.then using the appropriate property of the continuous-time Fourier series. c. Use the result of part(b) to express the Fourier transform of (t).
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