Signals and Systems

Features

• This unique free application is for all students across the world. It covers 131 topics of Signals and Systems in detail. These 131 topics are divided in 5 units.
• Each topic is around 600 words and is complete with diagrams, equations and other forms of graphical representations along with simple text explaining the concept in detail.
• This USP of this application is "ultra-portability". Students can access the content on-the-go from anywhere they like.
• Basically, each topic is like a detailed flash card and will make the lives of students simpler and easier.
• Some of topics Covered in this application are:
• 1. The Laplace transform
• 2. The region of convergence of the Laplace transform
• 3. Poles and zeros in the Laplace transform
• 4. Properties of the ROC of the Laplace transform
• 5. Laplace Transforms Of Some Common Signals
• 6. Properties of the Laplace transform
• 7. The inverse Laplace transform
• 8. Partial-fraction expansion in Laplace transform
• 9. The system function of the Laplace transform
• 10. Characterization of LTI systems
• 11. System function for LTI systems described by linear constant-coefficient differential equations
• 12. Systems Interconnection
• 13. The unilateral Laplace transform
• 14. Transform circuits of the Laplace transform
• 15. Graphical Understanding of ROC
• 16. The Z-Transform
• 17. The region of convergence of the z transform
• 18. Properties of the ROC of the z transform
• 19. z- transforms of some common signals
• 20. Properties of the z-transform
• 21. The inverse z-transform
• 22. Power series expansion of z transform
• 23. The system function of the z transform
• 24. Characterization of discrete-time LTI systems in z transform
• 25. system function for LTI systems described by linear constant-coefficient difference equations
• 26. The unilateral z-transform
• 27. Initial value theorem of the Laplace transform
• 28. Final value theorem of the Laplace transform
• 29. convolution in time domain property of the Laplace transform
• 30. The Laplace transform of the ramp function
• 31. The Laplace transform of a pulse
• 32. The Laplace transform of a linear segment
• 33. The Laplace transform of a triangular waveform
• 34. The Laplace transform of a rectangular periodic waveform
• 35. The Laplace transform of a half rectified sine waveform
• 36. Initial value theorem of the z transform
• 37. Final value theorem of the z transform
• 38. The Z transform of the geometric sequence
• 39. The Z transform of the discrete time unit step function
• 40. The Z transform of the discrete time cosine and sine functions
• 41. The Z transform of the discrete time unit ramp function
• 42. computation of the Z transform with contour integration
• 43. s to z plane mapping
• 44. The Fourier transform
• 45. Fourier transform pair
• 46. connection between the Fourier transform and the Laplace transform
• 47. Properties of the continuous time Fourier transform
• 48. Frequency response of the continuous LTI system
• 49. Real time functions
• 50. Imaginary Time Functions
• 51. The cosine and sine function pair
• 52. The signum function pair
• 53. The unit step function pair
• 54. The delta function pair
• 55. The constant function pair
• 56. Parseval’s theorem
• 57. conjugate time and frequency functions
• 58. The time convolution & frequency convolution
• 59. The area under f(t) and F(w)
• 60. The Discrete Time Fourier Transform
• 61. The Discrete Time Fourier spectra
• 62. Connection between the discrete time Fourier transform and the z-transform
• 63. Properties of the Discrete Time Fourier Transform
• 64. The frequency response of discrete-time LTI systems
• 65. LTI systems characterized by differential equations in discrete form
• 66. system response to sampled continuous-time sinusoids
• 67. Simulation
• 68. Discrete-time Fourier transform pair
• 69. The weak dirichlet condition
• 70. The strong dirichlet conditions
• 71. Gibbs’s phenomena
• 72. Derivation of the fourier transform from the laplace transform

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