From signals and systems to control

From signals and systems to control video tutorials

• Chapter 1：Signal system-1_Some basic ideas about signals and systems (10 minutes and 14 seconds)

• Chapter 2：Signal system-2_The relationship between signal base and system input and output (11 minutes and 27 seconds)

• Chapter 3：Signal function operation-1_Signal translation and flipping (11 minutes and 26 seconds)

• Chapter 4：Signal function operation-2_periodic signal (8 minutes and 26 seconds)

• Chapter 5：Signal function operation-3_odd and even signals (9 minutes and 41 seconds)

• Chapter 6：Continuous basic signals-1_Trigonometric and exponential functions (10 minutes and 14 seconds)

• Chapter 7：Continuous basic signal-2_pulse function and step function (7 minutes and 47 seconds)

• Chapter 8：Discrete basic signals-1_Trigonometric and exponential functions (6 minutes and 50 seconds)

• Chapter 9：Discrete basic signal-2_pulse function and step function (4 minutes and 58 seconds)

• Chapter 10：Nature of system elements-1_Instances and basic elements of the system (7 minutes and 23 seconds)

• Chapter 11：System element properties - 2_System properties - non-memory (5 minutes and 17 seconds)

• Chapter 12：System element properties - 3_System properties - Reversibility (5 minutes and 47 seconds)

• Chapter 13：System element properties - 4_System properties - Causality (4 minutes and 36 seconds)

• Chapter 14：System element properties - 5_System properties - Stability (4 minutes and 54 seconds)

• Chapter 15：System element properties - 6_System properties - time-invariant (6 minutes and 48 seconds)

• Chapter 16：System element properties - 7_System properties - Linear (5 minutes and 37 seconds)

• Chapter 17：Discrete convolution - 1_Use unit pulse function to represent discrete time signal (11 minutes and 24 seconds)

• Chapter 18：Discrete Convolution-2_Discrete Impulse Response and Convolution Calculation (9 minutes and 14 seconds)

• Chapter 19：Discrete Convolution - 3_Discrete Convolution Calculation - From Input Time Perspective (6 minutes and 54 seconds)

• Chapter 20：Discrete Convolution - 4_Discrete Convolution Calculation - From an Output Time Perspective (9 minutes and 5 seconds)

• Chapter 21：Discrete Convolution-5_Discrete Convolution Calculation-Exponential Function and Step Function (7 minutes and 57 seconds)

• Chapter 22：Discrete Convolution - 6_Convolution calculation and system impulse response (6 minutes and 40 seconds)

• Chapter 23：Discrete Convolution - 7_The impact of convolution calculation and impulse response on the system (7 minutes and 9 seconds)

• Chapter 24：Continuous convolution-1_Use unit pulse function to represent continuous time signal (9 minutes and 40 seconds)

• Chapter 25：Continuous Convolution-2_Continuous Impulse Response and Convolution Calculation (9 minutes and 28 seconds)

• Chapter 26：Continuous convolution - 3_Continuous convolution calculation - exponential function and step function (6 minutes and 12 seconds)

• Chapter 27：Properties of Convolution Operations - 1_Introduction to the three major properties of commutative law, distributive law, associative law (4 minutes and 48 seconds)

• Chapter 28：Properties of Convolution Operations - 2_Commutative Law of Properties of Convolution Operations (8 minutes and 56 seconds)

• Chapter 29：Properties of the Convolution Operation - 3. Distribution Law of the Properties of the Convolution Operation - Discrete (6 minutes and 18 seconds)

• Chapter 30：Properties of Convolution Operations - 4_Distribution Law of Properties of Convolution Operations - Continuous (5 minutes and 16 seconds)

• Chapter 31：Properties of the convolution operation - 5. The associative law of the properties of the convolution operation - Discrete (5 minutes and 42 seconds)

• Chapter 32：Properties of the convolution operation - 6. The associative law of the properties of the convolution operation - continuous (6 minutes and 2 seconds)

• Chapter 33：Properties of the Convolution Operation - 7_The relationship between the commutative law, the distributive law, the associative law and the system (8 minutes and 48 seconds)

• Chapter 34：Convolution system theorem - 1_Non-memory system theorem under convolution operation (6 minutes and 56 seconds)

• Chapter 35：Convolution system theorem - 2_ Reversibility system theorem under the convolution operation (8 minutes and 40 seconds)

• Chapter 36：Convolution system theorem - 3_Causal system theorem under the convolution operation (9 minutes and 44 seconds)

• Chapter 37：Convolution system theorem - 4_Stability system theorem under convolution operation (10 minutes and 4 seconds)

• Chapter 38：Continuous F series - 1_Fourier series of continuous time periodic signals (10 minutes and 25 seconds)

• Chapter 39：Continuous F Series - 2_Fourier Series of Continuous Time Trigonometric Functions - Intuition (8 minutes and 3 seconds)

• Chapter 40：Continuous F Series - 3_Fourier Series of Continuous Time Trigonometric Functions - Formula (8 minutes and 51 seconds)

• Chapter 41：Continuous F Series - 4_Fourier Series of Continuous Time Periodic Square Waves (6 minutes and 17 seconds)

• Chapter 42：Continuous F series - 5_Fourier series of square waves with different periods in continuous time (11 minutes and 4 seconds)

• Chapter 43：CT-FS Properties - 1_Properties of Continuous Time Fourier Series – Linear (7 minutes and 28 seconds)

• Chapter 44：CT-FS Properties - 2_Properties of Continuous Time Fourier Series – Translation (7 minutes and 41 seconds)

• Chapter 45：CT-FS Properties - 3_Properties of Continuous Time Fourier Series – Flip (6 minutes and 45 seconds)

• Chapter 46：CT-FS Properties - 4_Properties of Continuous Time Fourier Series – Deformation (6 minutes and 48 seconds)

• Chapter 47：CT-FS Properties - 5_Properties of Continuous Time Fourier Series – Multiplication (7 minutes and 58 seconds)

• Chapter 48：CT-FS Properties - 6_Properties of Continuous Time Fourier Series – Differential (4 minutes and 57 seconds)

• Chapter 49：CT-FS Properties - 7_Properties of Continuous Time Fourier Series – Integral (5 minutes and 7 seconds)

• Chapter 50：CT-FS Properties - 8_Properties of Continuous Time Fourier Series – Conjugation (6 minutes and 29 seconds)

• Chapter 51：CT-FS properties - 9_Example - Use CT-FS properties to find CT-FS coefficients (10 minutes and 39 seconds)

• Chapter 52：Discrete F Series - 1_Fourier series for discrete time periodic signals (10 minutes and 37 seconds)

• Chapter 53：Discrete F Series - 2_Fourier Series of Discrete Time Trigonometric Functions - Intuition (6 minutes and 30 seconds)

• Chapter 54：Discrete F Series - 3_Fourier Series of Discrete Time Trigonometric Functions - Formula (9 minutes and 26 seconds)

• Chapter 55：Discrete F Series - 4_Fourier series of discrete time periodic square waves (9 minutes and 48 seconds)

• Chapter 56：DT-FS Properties - 1_Properties of Discrete Time Fourier Series – Linear (6 minutes and 55 seconds)

• Chapter 57：DT-FS Properties - 2_Properties of Discrete Time Fourier Series – Translation (6 minutes and 38 seconds)

• Chapter 58：DT-FS Properties - 3_Properties of Discrete Time Fourier Series – Flip (6 minutes and 19 seconds)

• Chapter 59：DT-FS Properties - 4_Properties of Discrete Time Fourier Series – Multiplication (7 minutes and 59 seconds)

• Chapter 60：DT-FS Properties - 5_Properties of Discrete Time Fourier Series – Difference (4 minutes and 29 seconds)

• Chapter 61：DT-FS properties - 6_Use DT-FS properties to obtain DT-FS coefficients (7 minutes and 19 seconds)

• Chapter 62：Continuous F Conversion - 1_Characteristic change from periodic signal to aperiodic signal (10 minutes and 47 seconds)

• Chapter 63：Continuous F Transform - 2_From Fourier Series to Fourier Transform (7 minutes and 52 seconds)

• Chapter 64：Continuous F Transform-3_Fourier Transform Example-Exponential Function (9 minutes and 47 seconds)

• Chapter 65：Continuous F Transform - 4_Fourier Transform Example - Bilateral Exponential Function (8 minutes and 57 seconds)

• Chapter 66：Continuous F Transform-5_Fourier Transform Example-Impulse Function (4 minutes and 27 seconds)

• Chapter 67：Continuous F Transform-6_Fourier Transform Example-Square Wave Function (7 minutes and 49 seconds)

• Chapter 68：Continuous F-Transform - 7_Fourier Transform of Periodic Signals (8 minutes and 1 seconds)

• Chapter 69：Continuous F Transform-8_Fourier Transform Example-Periodic Square Wave Function (5 minutes and 35 seconds)

• Chapter 70：Continuous F Transform-9_Fourier Transform Example-Periodic Trigonometric Function (7 minutes and 45 seconds)

• Chapter 71：Continuous F Transform-10_Fourier Transform Example-Periodic Pulse Function (5 minutes and 30 seconds)

• Chapter 72：CT-FT properties - 1_Linear properties of continuous time Fourier transform (6 minutes and 54 seconds)

• Chapter 73：CT-FT Properties - 2_Translation Properties of Continuous Time Fourier Transform (7 minutes and 7 seconds)

• Chapter 74：CT-FT Properties - 3_Conjugate Properties of Continuous Time Fourier Transform (5 minutes and 38 seconds)

• Chapter 75：CT-FT Properties- 4_ Differential and Integral Properties of Continuous Time Fourier Transform (5 minutes and 2 seconds)

• Chapter 76：CT-FT properties - 5_Expansion and compression properties of continuous time Fourier transform (9 minutes and 32 seconds)

• Chapter 77：CT-FT system-1_Use Fourier transform to analyze the input-output relationship of the system (6 minutes and 0 seconds)

• Chapter 78：CT-FT System-2_Example-System input, output and response function calculation (4 minutes and 58 seconds)

• Chapter 79：CT-FT system-3_Multiplication operation of two signals (5 minutes and 12 seconds)

• Chapter 80：CT-FT system-4_Example-Multiplication operation of two signals (6 minutes and 20 seconds)

• Chapter 81：CT-FT System-5_Using Fourier Transform to Analyze Differential Equations (9 minutes and 38 seconds)

• Chapter 82：Discrete F Transformation - 1_Characteristic changes from periodic to non-periodic signals (11 minutes and 5 seconds)

• Chapter 83：Discrete F Transform - 2_From Fourier Series to Fourier Transform (8 minutes and 29 seconds)

• Chapter 84：Discrete F Transform - 3_The Fourier transform of a discrete time signal is periodic (11 minutes and 9 seconds)

• Chapter 85：Discrete F Transform-4_Fourier Transform Example-Exponential Function (10 minutes and 53 seconds)

• Chapter 86：Discrete F Transform - 5_Fourier Transform Example - Bilateral Exponential Function (1 hours and 41 minutes and 59 seconds)

• Chapter 87：Discrete F Transform-6_Fourier Transform Example-Square Wave Function (8 minutes and 30 seconds)

• Chapter 88：Discrete F Transform - 7_Fourier Transform of Discrete Time Periodic Signals (11 minutes and 0 seconds)

• Chapter 89：Discrete F Transform-8_Fourier Transform Example-Periodic Trigonometric Function (8 minutes and 1 seconds)

• Chapter 90：Discrete F Transform-9_Fourier Transform Example-Periodic Impulse Function (7 minutes and 8 seconds)

• Chapter 91：DT-FT Properties - 1_Linear Properties of Discrete Time Fourier Transform (5 minutes and 41 seconds)

• Chapter 92：DT-FT Properties - 2_Translation Properties of Discrete Time Fourier Transform (8 minutes and 7 seconds)

• Chapter 93：DT-FT Properties-3_Conjugate Properties of Discrete Time Fourier Transform (4 minutes and 58 seconds)

• Chapter 94：DT-FT Properties - 4_Sum of Differences Derivative of Discrete Time Fourier Transform (8 minutes and 30 seconds)

• Chapter 95：DT-FT properties - 5_Inversion and expansion of discrete time Fourier transform (9 minutes and 21 seconds)

• Chapter 96：DT-FT system-1_Use Fourier transform to analyze the input-output relationship of the system (5 minutes and 58 seconds)

• Chapter 97：DT-FT system - 2_Example - Calculation of system input, output and response functions (4 minutes and 59 seconds)

• Chapter 98：DT-FT system-3_Multiplication operation of two signals (4 minutes and 22 seconds)

• Chapter 99：DT-FT System-4_Using Fourier Transform to Analyze Difference Equations (7 minutes and 31 seconds)

• Chapter 100：Laplace Transform - 1_ From Fourier Transform to Laplace Transform (9 minutes and 8 seconds)

• Chapter 101：Laplace Transform - 2_ Laplace Transform Example - Positive Time Exponential Function (10 minutes and 11 seconds)

• Chapter 102：Laplace Transform - 3_ Laplace Transform Example - Negative Time Exponential Function (9 minutes and 8 seconds)

• Chapter 103：Laplace Transform - 4_ Laplace Transform Example - Trigonometric Functions (7 minutes and 33 seconds)

• Chapter 104：Laplace Transform - 5_Inverse Transformation of Laplace Transform (12 minutes and 18 seconds)

• Chapter 105：L Transformation Properties - 1_Linear Properties of Laplace Transformation (8 minutes and 54 seconds)

• Chapter 106：L transformation properties - translation properties of 2_- Laplace transformation (7 minutes and 24 seconds)

• Chapter 107：L transformation properties - 3_Deformation properties of Laplace transformation (9 minutes and 48 seconds)

• Chapter 108：L Transformation Properties - 4_Folding Properties of Laplace Transform (5 minutes and 38 seconds)

• Chapter 109：L transformation properties - 5_ Differential-integral properties of Laplace transformation (6 minutes and 7 seconds)

• Chapter 110：L transformation system - 1_System properties of Laplace transformation─Causality (7 minutes and 39 seconds)

• Chapter 111：L transformation system - 2_System properties of Laplace transformation─Stability (6 minutes and 20 seconds)

• Chapter 112：Z Transform - 1_ From Fourier transform to z transform (10 minutes and 28 seconds)

• Chapter 113：Z Transformation - 2_Z Transformation Example - Positive Time Exponential Function (8 minutes and 58 seconds)

• Chapter 114：Z Transformation - 3_Z Transformation Example - Negative Time Exponential Function (8 minutes and 43 seconds)

• Chapter 115：Z Transformation - 4_Z Transformation Example - Trigonometric Functions (8 minutes and 28 seconds)

• Chapter 116：Z Transform - The inverse of the 5_Z Transform (12 minutes and 37 seconds)

• Chapter 117：Z Transformation Properties - 1_Linear Properties of Z Transformation (7 minutes and 8 seconds)

• Chapter 118：Z Transformation Properties - Translational Properties of 2_Z Transformation (4 minutes and 20 seconds)

• Chapter 119：Z-transformation property - flipping property of 3_Z-transformation (3 minutes and 48 seconds)

• Chapter 120：Z Transformation Properties - 4_Expansion Properties of Z Transformation (4 minutes and 44 seconds)

• Chapter 121：Z Transformation Properties - 5_Deformation Properties of Z Transformation (5 minutes and 18 seconds)

• Chapter 122：Z Transformation Properties - 6_Z Transformation Convolution Computational Properties (4 minutes and 8 seconds)

• Chapter 123：Z Transformation Properties - 7_Differential Properties of Z Transformation (3 minutes and 20 seconds)

• Chapter 124：Z transformation properties - 8_Initial value theorem and final value theorem of Z transformation (6 minutes and 29 seconds)

• Chapter 125：Z-transformation system - 1_Systematic properties of Z-transformation─causality (7 minutes and 27 seconds)

• Chapter 126：Z-transformation system - 2. System properties of Z-transformation─stability (7 minutes and 1 seconds)

• Chapter 127：Continuous Control-1_Continuous time system block diagram representation (10 minutes and 2 seconds)

• Chapter 128：Continuous Control - 2_Building Continuous Time Systems with Basic Components (5 minutes and 35 seconds)

• Chapter 129：Continuous control-3_Block diagram representation of different connection methods (6 minutes and 57 seconds)

• Chapter 130：Continuous control - 4_The position of the system pole determines the continuous time system characteristics (7 minutes and 3 seconds)

• Chapter 131：Continuous Control-5_Use control to turn a divergent system into a convergent system (5 minutes and 57 seconds)

• Chapter 132：Continuous control-6_Use control to enhance the convergence speed of the system (5 minutes and 43 seconds)

• Chapter 133：Discrete control - 1_Discrete time system block diagram representation (9 minutes and 30 seconds)

• Chapter 134：Discrete Control - 2_Building Discrete Time Systems with Basic Components (5 minutes and 41 seconds)

• Chapter 135：Discrete control - 3_Block diagram representation of different connection methods (6 minutes and 59 seconds)

• Chapter 136：Discrete Control-4_The position of the system pole determines the characteristics of the discrete-time system (8 minutes and 9 seconds)

• Chapter 137：Discrete Control-5_Use control to turn a divergent system into a convergent system (4 minutes and 43 seconds)

• Chapter 138：Discrete Control-6_Use control to enhance the convergence speed of the system (4 minutes and 51 seconds)

• Chapter 139：Unit: Mathematical Tools-1_Expressions of Complex Numbers and Euler’s Relations (4 minutes and 1 seconds)

• Chapter 140：Mathematical Tools-1_Expressions of Complex Numbers and Euler’s Relationships (4 minutes and 1 seconds)

• Chapter 141：Math Tools - 2_Sum of Multiple Complex Numbers (6 minutes and 11 seconds)

• Chapter 142：Math Tools - 3_Sum of Multiple Discrete Time Trigonometric and Exponential Functions (5 minutes and 45 seconds)

• Chapter 143：Math Tools - 4._Integral of Trigonometric and Exponential Functions (9 minutes and 23 seconds)

• Chapter 144：Math Tools - 6_Characteristics of SINC function (3 minutes and 47 seconds)

• Chapter 145：Mathematical Tools-5_Integral of Multiple Continuous Time Trigonometric and Exponential Functions (5 minutes and 54 seconds)