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![Sol. 1 mu Given, z [n] = x [n] * y [n] in question Now, plots of x [n ] and a cn] are given data. From, data : x [n ] is exi](http://img.homeworklib.com/questions/c32664c0-5c12-11eb-a000-e13922b43b41.png?x-oss-process=image/resize,w_560)
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Consider the sequences 3 [n] 0 1 2...
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convol...
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI system with input x (o] and impulse response h (o] specified as follows. x [n] = 2"u [-n] h [n] -u [n] Find the output y [n] using convolution sum.
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI...
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation 3y[n] – 7y[n – 1] + 2y[n – 2] = 3x[n] – 3x[n – 1] (2.1) The fact that sequences x[ ] and y[ ] are in input-output relation and satisfy (2.1) does not yet determine which LTI system. a) We assume each possible input sequence to this system has its Z-transform and that the impulse response of this system also has its Z-transform. Express the...
P-8.7 Consider two finite-length sequences, x[n] 0 n<0 1 0 <n<3 n> 3 0 and h[n]...
P-8.7 Consider two finite-length sequences, x[n] 0 n<0 1 0 <n<3 n> 3 0 and h[n] = 28[n] - 8[n - 1] - 8[n - 2]. (a) Determine and plot the discrete convolution y[n] = x[n] *h[n] for these two sequences.
What’s the answer for (a) and (b) using Matlab? Problem 1: Consider the following sequences x(n)...
What’s the answer for (a) and (b) using Matlab?
Problem 1: Consider the following sequences x(n) = {-4, 5, 1,-2,-3, 0, 2, 45),-35ns4 y(n) = {6,-3,-1, 0, 8, 7,-2).-Isn 5 n(n) = {3, 2, 2,-1, 0,-2,5), 2sns8 The sample values of each of the above sequences outside the ranges specified are all zeros. Generate and plot the following sequences using MATLAB functions (c.g SIGSHIFT, SIGADD, fold, shift, etc.): (a) u(n) = x(n) + y(n-2) (b) s(n) =-y(n) + w(n +...
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: ...
how to calculate the convolution
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence with u[n] is the sum of all the components (an integrator) 2. x[n]=仁1,-2-3-4) 1 vl n | =.xln|>k 11 | n | = 〈ー1, 2(00.-1,-3.-6.-10-10.
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence...
1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2...
1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2 zero . Determine the outputs when the input x(n) is (a) u(n ) ; (b) u(n−4 ) 2. Let the rectangle pulse x ( n )=u ( n ) −u (n −10 ) be an input to an LTI system with impulse response h (n )=(0.9 )n u (n ) . Determine the output y ( n ) . (Hint: You need to consider muliple...
Problem 2 Consider an FIR filter with the following impulse response: h [n] [1 -2 3]...
Problem 2 Consider an FIR filter with the following impulse response: h [n] [1 -2 3] (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x(n] - [1 2 3 2 1? Problem 2: Consider an FIR filter with the following impulse response: h(n] [1-2 3 (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x [n] 1 2 3...
please show detailed work/proof 3. The input and output of a causal LTI system satisfy the...
please show detailed work/proof
3. The input and output of a causal LTI system satisfy the following difference equation (d.e.) y[n] = ayln-1] + x[n]-a"x[n-N], N > 0 a. Determine the impulse response h[n]. Hint: solve it iteratively starting from n=0, 1, , n=N+1; x[n] = δ[n] then think what is y[n] ? b. Sketch the impulse response h[n] c. Is this an FIR or an IIR system? d. For what values of the parameter a is the system stable?
tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator:...
tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator: y(n)= 0.5x(n)-0.5x(n-2) (2) Draw the unit impulse responses of the above two processes. A = 0.5 (Hint: you just need to draw a picture that y-axis is y(n) and x-axis is n (time). The input is the unit impulse x(n) = δ(n). ) (3) A linear time-invariant (LTD) system can be represented by the impulse response hn). What is the iff condition on h(n),...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n)...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI system with input x (o] and impulse response h (o] specified as follows. x [n] = 2"u [-n] h [n] -u [n] Find the output y [n] using convolution sum.
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI...
P-8.7 Consider two finite-length sequences, x[n] 0 n<0 1 0 <n<3 n> 3 0 and h[n] = 28[n] - 8[n - 1] - 8[n - 2]. (a) Determine and plot the discrete convolution y[n] = x[n] *h[n] for these two sequences.
What’s the answer for (a) and (b) using Matlab?
Problem 1: Consider the following sequences x(n) = {-4, 5, 1,-2,-3, 0, 2, 45),-35ns4 y(n) = {6,-3,-1, 0, 8, 7,-2).-Isn 5 n(n) = {3, 2, 2,-1, 0,-2,5), 2sns8 The sample values of each of the above sequences outside the ranges specified are all zeros. Generate and plot the following sequences using MATLAB functions (c.g SIGSHIFT, SIGADD, fold, shift, etc.): (a) u(n) = x(n) + y(n-2) (b) s(n) =-y(n) + w(n +...
how to calculate the convolution
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence with u[n] is the sum of all the components (an integrator) 2. x[n]=仁1,-2-3-4) 1 vl n | =.xln|>k 11 | n | = 〈ー1, 2(00.-1,-3.-6.-10-10.
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence...
Problem 2 Consider an FIR filter with the following impulse response: h [n] [1 -2 3] (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x(n] - [1 2 3 2 1? Problem 2: Consider an FIR filter with the following impulse response: h(n] [1-2 3 (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x [n] 1 2 3...
please show detailed work/proof
3. The input and output of a causal LTI system satisfy the following difference equation (d.e.) y[n] = ayln-1] + x[n]-a"x[n-N], N > 0 a. Determine the impulse response h[n]. Hint: solve it iteratively starting from n=0, 1, , n=N+1; x[n] = δ[n] then think what is y[n] ? b. Sketch the impulse response h[n] c. Is this an FIR or an IIR system? d. For what values of the parameter a is the system stable?
tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator: y(n)= 0.5x(n)-0.5x(n-2) (2) Draw the unit impulse responses of the above two processes. A = 0.5 (Hint: you just need to draw a picture that y-axis is y(n) and x-axis is n (time). The input is the unit impulse x(n) = δ(n). ) (3) A linear time-invariant (LTD) system can be represented by the impulse response hn). What is the iff condition on h(n),...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
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