Matlab signals and systems
To understand better the concept of time-invariance in discrete-time systems,
write a MATLAB M-file that generates the output response y[n] for 0 n 30 to the
following various inputs for the system defined in the previous question:
(a) Compute and give the MATLAB plot of the response y1(n) to the input x(n)=u(n)
(b) Compute and give the MATLAB plot of the response y2(n) to the input x(n)=u[n
- 2]. Compare this response with that obtained in part (a).
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Realize signal processing systems described by the difference equation: y1(n)=1/2 [x(n)+x(n-1)] and y2(n)=1/2 [x(n)-x(n-1)] using Matlab. Assuming same input signal x(n)=sin(ωn) for various values of...
Realize signal processing systems described by the difference equation: y1(n)=1/2 [x(n)+x(n-1)] and y2(n)=1/2 [x(n)-x(n-1)] using Matlab. Assuming same input signal x(n)=sin(ωn) for various values of ω ={0,/6, ,3/2, 1.9/2} applied to both systems find the following: Obtain stem plots of y1(n) and y2(n) in each case. (15 Marks) Critically analyze y1(n) and y2(n) in terms of type of filter, maximum gain and cut off frequency. (Hint : The system can be tested by computing frequency response of the system).
Realize the system which generates the output y1(n)-1/2 [x(n)+x(-n)] and y2(n)-1/2 [x(n)-x(-n)] using matlab. By generating signals xl(n)-sin(on) and x2(n)-cos(on) for various values of o-[0,/6,...
Realize the system which generates the output y1(n)-1/2 [x(n)+x(-n)] and y2(n)-1/2 [x(n)-x(-n)] using matlab. By generating signals xl(n)-sin(on) and x2(n)-cos(on) for various values of o-[0,/6, ,3Tt/2, 1.9T/2) obtain 3. a) Output yl(n) and y2(n) b) Critically analyze the system outputs y 1 (n) and y2(n) and find out the type of filter obtained.
Realize the system which generates the output y1(n)-1/2 [x(n)+x(-n)] and y2(n)-1/2 [x(n)-x(-n)] using matlab. By generating signals xl(n)-sin(on) and x2(n)-cos(on) for various values of o-[0,/6, ,3Tt/2, 1.9T/2)...
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other...
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
Discrete-time convolution. Use of shift invariance for LTI systems. A discrete-time LTI system is described the...
Discrete-time convolution. Use of shift invariance for LTI systems. A discrete-time LTI system is described the its impulse response h[n]. h[n] = (5)"u[n]. n-3 1 An input x[n] = u[n – 4) is applied. The output of the system y[n] is given by: x[r] – 54 G)" ()") un 14 The correct answer is not provided gắn] = [16(5)” – 54(5) ] n] y[n] = [16()" – 54(+)"] uſn – 4
It's about signals and systems. I need some help to make MATLAB codes of this problems. Thank you :) Discrete-Ti...
It's about signals and systems. I need some help to
make MATLAB codes of this problems. Thank you :)
Discrete-Time Periodic Signal 4 1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2n] with the fundamental period N n]sin(2Tn/10)sin(27n/20) sin(27n/30), for 0nN-1 Find the fundamental frequency 2T/N with the fundamental period N (b) Generate a periodic signal h2[nl with the fundamental period N h2[n](1/2)", for 0n< N - 1 (c) Using the conv function in Matlab, compute...
Please solve using MATLAB. Write a MATLAB function to compute and plot the output of the...
Please solve using MATLAB.
Write a MATLAB function to compute and plot the output of the discrete-time system for x[n]-u[n], 0 < n < 1000. Based on these results can you make a statement regarding the stability of the system? Hint: Check the value y[600]
Signals and Systems. ConvolutionCan you explain the solution, i am confused how x_1 was plugged i...
Signals and Systems. ConvolutionCan you explain the solution, i
am confused how x_1 was plugged into x_2. Thanks
3. A linear time invariant system is given the input xi (t) -e4tu(t - 1) and the output is observed to be exp(-5t)u(t -1). What will the response of the system to the input x2(t) 3e_4tu(t) + 2e-4(t-2)u(t-2) be? Solution: Observe that a2(t) 3e4xi (t +1) + 2e4xi(t -1), since by linearity and time invariance, we should output Иф from хіф and...
A causal discrete-time system is described by the following difference equation: Use Matlab to write a...
A causal discrete-time system is described by the following difference equation: Use Matlab to write a script to complete the following tasks. Turn in the output created by the Matlab "publish" utility. (a) Compute and plot the impulse response h[n], 0くn 〈 50. Use the function h=imp2(b, a , N ) to find the impulse response, and use the stem ) function to create the plot. (b) Let x[n] be defined by (n - 15)2 0n K 30 x[n] elsewhere...
Matlab Question#1: Determine the discrete-time Fourier transform of x(n) (0.8y'n u(n)+(0.1)'n u(n) Evaluate Xei) at 501 equispaced. points between [0,pi] and plot its magnitude, angle, re...
Matlab Question#1: Determine the discrete-time Fourier transform of x(n) (0.8y'n u(n)+(0.1)'n u(n) Evaluate Xei) at 501 equispaced. points between [0,pi] and plot its magnitude, angle, real, and imaginary parts Matlab Question#2: Determine the discrete-time Fourier transform of Evaluate Xei) at 1001 equispaced points between [0pi] and plot its magnitude, angle, real, and imaginary parts. Matlab Question#3: Compute the FT values at the prescribed frequency points and plot the real and imaginary parts and the magnitude and phase spectrums. The FT...
please write code in MATLAB as well 5. (12 points) Create the following signal in Matlab:...
please write code in MATLAB as well
5. (12 points) Create the following signal in Matlab: x[n] = u(n) - u[n-6] a. Mathematically compute yi[n] = x[n] * x[n] where * means convolution. Now use the conv command to perform the convolution. Graph x[n) and the resulting y(n), both over the interval Osns 20. How many non-zero terms does y(n) have? Does your computational result agree with the Matlab result? b. Repeat a. but this time with yz[n] = x[n]*h[n)...
Realize the system which generates the output y1(n)-1/2 [x(n)+x(-n)] and y2(n)-1/2 [x(n)-x(-n)] using matlab. By generating signals xl(n)-sin(on) and x2(n)-cos(on) for various values of o-[0,/6, ,3Tt/2, 1.9T/2) obtain 3. a) Output yl(n) and y2(n) b) Critically analyze the system outputs y 1 (n) and y2(n) and find out the type of filter obtained.
Realize the system which generates the output y1(n)-1/2 [x(n)+x(-n)] and y2(n)-1/2 [x(n)-x(-n)] using matlab. By generating signals xl(n)-sin(on) and x2(n)-cos(on) for various values of o-[0,/6, ,3Tt/2, 1.9T/2)...
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
Discrete-time convolution. Use of shift invariance for LTI systems. A discrete-time LTI system is described the its impulse response h[n]. h[n] = (5)"u[n]. n-3 1 An input x[n] = u[n – 4) is applied. The output of the system y[n] is given by: x[r] – 54 G)" ()") un 14 The correct answer is not provided gắn] = [16(5)” – 54(5) ] n] y[n] = [16()" – 54(+)"] uſn – 4
It's about signals and systems. I need some help to
make MATLAB codes of this problems. Thank you :)
Discrete-Time Periodic Signal 4 1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2n] with the fundamental period N n]sin(2Tn/10)sin(27n/20) sin(27n/30), for 0nN-1 Find the fundamental frequency 2T/N with the fundamental period N (b) Generate a periodic signal h2[nl with the fundamental period N h2[n](1/2)", for 0n< N - 1 (c) Using the conv function in Matlab, compute...
Please solve using MATLAB.
Write a MATLAB function to compute and plot the output of the discrete-time system for x[n]-u[n], 0 < n < 1000. Based on these results can you make a statement regarding the stability of the system? Hint: Check the value y[600]
Signals and Systems. ConvolutionCan you explain the solution, i
am confused how x_1 was plugged into x_2. Thanks
3. A linear time invariant system is given the input xi (t) -e4tu(t - 1) and the output is observed to be exp(-5t)u(t -1). What will the response of the system to the input x2(t) 3e_4tu(t) + 2e-4(t-2)u(t-2) be? Solution: Observe that a2(t) 3e4xi (t +1) + 2e4xi(t -1), since by linearity and time invariance, we should output Иф from хіф and...
A causal discrete-time system is described by the following difference equation: Use Matlab to write a script to complete the following tasks. Turn in the output created by the Matlab "publish" utility. (a) Compute and plot the impulse response h[n], 0くn 〈 50. Use the function h=imp2(b, a , N ) to find the impulse response, and use the stem ) function to create the plot. (b) Let x[n] be defined by (n - 15)2 0n K 30 x[n] elsewhere...
Matlab Question#1: Determine the discrete-time Fourier transform of x(n) (0.8y'n u(n)+(0.1)'n u(n) Evaluate Xei) at 501 equispaced. points between [0,pi] and plot its magnitude, angle, real, and imaginary parts Matlab Question#2: Determine the discrete-time Fourier transform of Evaluate Xei) at 1001 equispaced points between [0pi] and plot its magnitude, angle, real, and imaginary parts. Matlab Question#3: Compute the FT values at the prescribed frequency points and plot the real and imaginary parts and the magnitude and phase spectrums. The FT...
please write code in MATLAB as well
5. (12 points) Create the following signal in Matlab: x[n] = u(n) - u[n-6] a. Mathematically compute yi[n] = x[n] * x[n] where * means convolution. Now use the conv command to perform the convolution. Graph x[n) and the resulting y(n), both over the interval Osns 20. How many non-zero terms does y(n) have? Does your computational result agree with the Matlab result? b. Repeat a. but this time with yz[n] = x[n]*h[n)...
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