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![(D2 + 4D + 3)y(t)= (3D + 5) x(t). Using initial conditions y(0)=3, Dy(0)=-7, determine zero input component of the response. 15 Determine the impulse response h(t) for for an LTI sys specified by differential equation: (A)(D2 +3D+2) y(t) = D x(t) (B) (D2 +2D+1) y(t) = D x(t) (C) D (D+2) y(t) = (D+4) x(t) 16 Solve the differential equation: (A)(D2 +3D+2) y(t) = x(t) using input x(t) = 5t + 3 and initial conditions y(0)=2 & Dy(0)=3. (B) (D2 +5D+6) y(t) = (D+1) x(t) using input x(t) = 6t2 and initial conditions y(0)=25/18 & Dy(0)=-2/3 17 Sketch the following discrete time signals: (A)xa[n] = (-0.5)n (B) xb[n] = (2)n (C) xc[n] = - (-2)n 18 Sketch the following Discrete Time Sinusoid (A) xa[n] = cos( (л/12) n + (л/4)) (B) xb[n] = cos( (л /12) n ) (C) xc[n] = sin( (л/12) n + (л/4)) 19 solve: y[n+2]-y[n+1]+0.24y[n] = x[n+2]-2x[n+1] with initial condition y[-1] = 2, y[-2] = 1 and a causal input x[n] = n (starting at n=0). 20 Write a scilab code to generate following signals. (A) x(t)=e-2t u(t) (B) x(t-1) ; x(t) delayed by 1 second (C) x(t+1) ; x(t) advanced by 1 second 21 Write a scilab code to generate following sampled signals. Take sampling frequency fs = 150Hz. (A) x1 = sin(2л 10 t) (B) x2 = sin(2л 20 t) (C) x3 = x1+ x2](https://image.slidesharecdn.com/tsedsllosysxihuj2y62-signature-5c7c6a6f913fc926a247f861ca8d674cbcf2e3d87f3b67050f4900b456d224c1-poli-170324091000/75/Ss-matlab-solved-2-2048.jpg)
![STEMS - 2141005 MATLAB SOLVED PROBLEMS [1-10] RATHOR VIJENDRASINGH RAMSAHAY Enrollment no. 130170111092 EC 4th SEMESTER – 2015 SIGNALS AND SYSTEMS - 2141005](https://image.slidesharecdn.com/tsedsllosysxihuj2y62-signature-5c7c6a6f913fc926a247f861ca8d674cbcf2e3d87f3b67050f4900b456d224c1-poli-170324091000/75/Ss-matlab-solved-3-2048.jpg)
![SIGNALS AND SYSTEMS – 2141005 MATLAB & SCILAB SOLVED PROBLEMS [11-21] RATHOR VIJENDRASINGH RAMSAHAY Enrollment no. 130170111092 EC 4th SEMESTER – 2015](https://image.slidesharecdn.com/tsedsllosysxihuj2y62-signature-5c7c6a6f913fc926a247f861ca8d674cbcf2e3d87f3b67050f4900b456d224c1-poli-170324091000/75/Ss-matlab-solved-15-2048.jpg)
![17. Sketch the following discrete time signals: (A)xa[n] = (-0.5) n (B) xb[n] = (2) n (C) xc[n] = - (-2) n](https://image.slidesharecdn.com/tsedsllosysxihuj2y62-signature-5c7c6a6f913fc926a247f861ca8d674cbcf2e3d87f3b67050f4900b456d224c1-poli-170324091000/75/Ss-matlab-solved-24-2048.jpg)
![18. Sketch the following Discrete Time Sinusoid (A) xa[n] = cos( (л/12) n + (л/4)) (B) xb[n] = cos( (л /12) n ) (C) xc[n] = sin( (л/12) n + (л/4))](https://image.slidesharecdn.com/tsedsllosysxihuj2y62-signature-5c7c6a6f913fc926a247f861ca8d674cbcf2e3d87f3b67050f4900b456d224c1-poli-170324091000/75/Ss-matlab-solved-26-2048.jpg)
![19. solve: y[n+2]-y[n+1]+0.24y[n] = x[n+2]-2x[n+1] with initial condition y[-1] = 2, y[-2] = 1 and a causal input x[n] = n (starting at n=0).](https://image.slidesharecdn.com/tsedsllosysxihuj2y62-signature-5c7c6a6f913fc926a247f861ca8d674cbcf2e3d87f3b67050f4900b456d224c1-poli-170324091000/75/Ss-matlab-solved-28-2048.jpg)
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Ss matlab solved
This document contains a list of 21 MATLAB and Scilab problems related to signals and systems. The problems cover topics like generating standard signals, plotting functions, finding signal properties, solving differential equations, and manipulating discrete-time signals. Solving these problems helps learn how to represent and analyze continuous-time and discrete-time signals using MATLAB and Scilab.
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A list of problems focusing on using MATLAB for signals and systems, including vector creation, plotting functions, and energy calculations.
Programming tasks in MATLAB involving signal generation, differential equations, and plotting various mathematical functions.
Tasks related to using Scilab for signal generation and impulse response calculation, including sampled signal generation.
Solutions for differential equations and analysis of discrete signals, including sketching and application of algorithms in MATLAB and Scilab.
Tasks in Scilab for generating sampled signals and understanding their frequency characteristics.
Ss matlab solved
- 1. Signals and Systems: Listof MATLAB Problems: 1 Create a row vector x = (2; 3; 5; 7; 11; 13; 17; 19; 23; 29) in MATLAB. Now use the colon operator to display only the even entries of the vector, that is, the output should be the vector (3; 7; 13; 19; 29). Now do the same thing but display the output in reverse order, that is, the output should be (29; 19; 13; 7; 3) 2 Plot three functions (sin, cos, sin2 ) with independent variables using three subplots. 3 Plot exponential decay function. Use commands title, grid, xlabel and ylabel. 4 Use Matlab’s linspace (a,b,n) command to generate n equally spaced numbers between a and b. for the given values of a, b, and n. Also zero out every odd indexed entry. Use Matlab’s stem command to plot the elements in the resulting vector versus their indices. 5 Plot following functions for t= -5 to 5 using inline command. (a) f(t)=e-t cos(2лt) (b) g(t)= e-3t 2sin(лt) 6 Plot unit step function u(t) with inline and axis modification. 7 Plot following pulse signals: (a) p(t) = u(t)-u(t-1) (b) q(t) = u(t-3)-u(t-5) 8 Plot following time shift and time scaled signals: g(t) = e-t cos(6t), g(t-1), g(t+1), g(2t+1) 9 Find the energy of following signals: (a) x(t) = e-t cos (2лt) u(t). (b) g(t) = e-t u(t)-u(t-1) 10 Write a MATLAB program to generate the following signals using sign(t) function. (a) Unit step signal u(t) (b) Unit Impulse signal impls(t) (a) a rectangular pulse of width of 2 (b) Unit ramp signal r(t) 11 Write a MATLAB program to generate the following signals using sign(t) function. (a) u(t-3) (b) u(2t+2) (c) impls(t-2.5) (d) r(t-3) 12 Write a MATLAB program to generate the following signals. (a) a 50 Hz sinusoidal signal sin(2pift) sampled at 600Hz. (b) A sinc function (c) A square wave 13 Find the roots of polynomial " ax2 + bx + c” for given values of a,b,c. 14 Consider the LTI Sys specified by differential equation:
- 2. (D2 + 4D +3)y(t)= (3D + 5) x(t). Using initial conditions y(0)=3, Dy(0)=-7, determine zero input component of the response. 15 Determine the impulse response h(t) for for an LTI sys specified by differential equation: (A)(D2 +3D+2) y(t) = D x(t) (B) (D2 +2D+1) y(t) = D x(t) (C) D (D+2) y(t) = (D+4) x(t) 16 Solve the differential equation: (A)(D2 +3D+2) y(t) = x(t) using input x(t) = 5t + 3 and initial conditions y(0)=2 & Dy(0)=3. (B) (D2 +5D+6) y(t) = (D+1) x(t) using input x(t) = 6t2 and initial conditions y(0)=25/18 & Dy(0)=-2/3 17 Sketch the following discrete time signals: (A)xa[n] = (-0.5)n (B) xb[n] = (2)n (C) xc[n] = - (-2)n 18 Sketch the following Discrete Time Sinusoid (A) xa[n] = cos( (л/12) n + (л/4)) (B) xb[n] = cos( (л /12) n ) (C) xc[n] = sin( (л/12) n + (л/4)) 19 solve: y[n+2]-y[n+1]+0.24y[n] = x[n+2]-2x[n+1] with initial condition y[-1] = 2, y[-2] = 1 and a causal input x[n] = n (starting at n=0). 20 Write a scilab code to generate following signals. (A) x(t)=e-2t u(t) (B) x(t-1) ; x(t) delayed by 1 second (C) x(t+1) ; x(t) advanced by 1 second 21 Write a scilab code to generate following sampled signals. Take sampling frequency fs = 150Hz. (A) x1 = sin(2л 10 t) (B) x2 = sin(2л 20 t) (C) x3 = x1+ x2
- 3. STEMS - 2141005 MATLABSOLVED PROBLEMS [1-10] RATHOR VIJENDRASINGH RAMSAHAY Enrollment no. 130170111092 EC 4th SEMESTER – 2015 SIGNALS AND SYSTEMS - 2141005
- 4. 1. Create arow vector x = (2; 3; 5; 7; 11; 13; 17; 19; 23; 29) in MATLAB. Now use the colon operator to display only the even entries of the vector, that is, the output should be the vector (3; 7; 13; 19; 29). Now do the same thing but display the output in reverse order, that is, the output should be (29; 19; 13; 7; 3)
- 5. 2. Plot threefunctions (sin, cos, sin2 ) with independent variables using three subplots.
- 6. 3. Plot exponentialdecay function. Use commands title, grid, xlabel and ylabel.
- 7. 4. Use Matlab’slinspace (a,b,n) command to generate n equally spaced numbers between a and b. for the given values of a, b, and n. Also zero out every odd indexed entry. Use Matlab’s stem command to plot the elements in the resulting vector versus their indices.
- 8. 5. Plot followingfunctions for t= -5 to 5 using inline command. (a) f(t)=e-t cos(2лt) (b) g(t)= e-3t 2sin(лt)
- 10. 6. Plot unitstep function u(t) with inline and axis modification.
- 11. 7. Plot followingpulse signals: (a) p(t) = u(t)-u(t-1) (b) q(t) = u(t-3)-u(t-5)
- 12. 8. Plot followingtime shift and time scaled signals: g(t) = e-t cos(6t), g(t-1), g(t+1), g(2t+1)
- 13. 9. Find theenergy of following signals: (a) x(t) = e-t cos (2лt) u(t). (b) (b) g(t) = e-t u(t)-u(t-1)
- 14. 10. Write aMATLAB program to generate the following signals using sign(t) function. (a) Unit step signal u(t) (b) Unit Impulse signal impls(t) (a) a rectangular pulse of width of 2 (b) Unit ramp signal r(t)
- 15. SIGNALS AND SYSTEMS– 2141005 MATLAB & SCILAB SOLVED PROBLEMS [11-21] RATHOR VIJENDRASINGH RAMSAHAY Enrollment no. 130170111092 EC 4th SEMESTER – 2015
- 16. 11. Write aMATLAB program to generate the following signals using sign(t) function. (a) u(t-3) (b) u(2t+2) (c) impulse(t-2.5) (d) r(t-3)
- 18. 12. Write aMATLAB program to generate the following signals. (a) A 50 Hz sinusoidal signal sin(2 pi f t) sampled at 600Hz. (b) A sinc function (c) A square wave
- 20. 13. Find theroots of polynomial " ax2 + bx + c” for given values of a,b,c.
- 21. 14. Consider theLTI Sys specified by differential equation: (D2 + 4D + 3)y(t)= (3D + 5) x(t). Using initial conditions y(0)=3, Dy(0)=-7, determine zero input component of the response.
- 22. 15. Determine theimpulse response h(t) for for an LTI sys specified by differential equation: (A) (D2+3D+2) y(t) = D x(t) (B) (D2+2D+1) y(t) = D x(t) (C) D (D+2) y(t) = (D+4) x(t)
- 23. 16. Solve thedifferential equation: (A) (D2+3D+2) y(t) = x(t) using input x(t) = 5t + 3 and initial conditions y(0)=2 & Dy(0)=3. (B) (D2+5D+6) y(t) = (D+1) x(t) using input x(t) = 6t2 and initial conditions y(0)=25/18 & Dy(0)=-2/3
- 24. 17. Sketch thefollowing discrete time signals: (A)xa[n] = (-0.5) n (B) xb[n] = (2) n (C) xc[n] = - (-2) n
- 26. 18. Sketch thefollowing Discrete Time Sinusoid (A) xa[n] = cos( (л/12) n + (л/4)) (B) xb[n] = cos( (л /12) n ) (C) xc[n] = sin( (л/12) n + (л/4))
- 28. 19. solve: y[n+2]-y[n+1]+0.24y[n]= x[n+2]-2x[n+1] with initial condition y[-1] = 2, y[-2] = 1 and a causal input x[n] = n (starting at n=0).
- 30. 20. Write ascilab code to generate following signals. (A) x(t)=e -2t u(t) (B) x(t-1) ; x(t) delayed by 1 second (C) x(t+1) ; x(t) advanced by 1 second
- 32. 21. Write ascilab code to generate following sampled signals. Take sampling frequency fs= 150Hz. (A) x1 = sin(2л 10 t) (B) x2 = sin(2л 20 t) (C) x3 = x1+ x2