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Properties of the convolution operation - 6. The associative law of the properties of the convolution operation - continuous
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Properties of the convolution operation - 6. The associative law of the properties of the convolution operation - continuous
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Chapters
Chapter 1:Signal system-1_Some basic ideas about signals and systems
Chapter 2:Signal system-2_The relationship between signal base and system input and output
Chapter 3:Signal function operation-1_Signal translation and flipping
Chapter 4:Signal function operation-2_periodic signal
Chapter 5:Signal function operation-3_odd and even signals
Chapter 6:Continuous basic signals-1_Trigonometric and exponential functions
Chapter 7:Continuous basic signal-2_pulse function and step function
Chapter 8:Discrete basic signals-1_Trigonometric and exponential functions
Chapter 9:Discrete basic signal-2_pulse function and step function
Chapter 10:Nature of system elements-1_Instances and basic elements of the system
Chapter 11:System element properties - 2_System properties - non-memory
Chapter 12:System element properties - 3_System properties - Reversibility
Chapter 13:System element properties - 4_System properties - Causality
Chapter 14:System element properties - 5_System properties - Stability
Chapter 15:System element properties - 6_System properties - time-invariant
Chapter 16:System element properties - 7_System properties - Linear
Chapter 17:Discrete convolution - 1_Use unit pulse function to represent discrete time signal
Chapter 18:Discrete Convolution-2_Discrete Impulse Response and Convolution Calculation
Chapter 19:Discrete Convolution - 3_Discrete Convolution Calculation - From Input Time Perspective
Chapter 20:Discrete Convolution - 4_Discrete Convolution Calculation - From an Output Time Perspective
Chapter 21:Discrete Convolution-5_Discrete Convolution Calculation-Exponential Function and Step Function
Chapter 22:Discrete Convolution - 6_Convolution calculation and system impulse response
Chapter 23:Discrete Convolution - 7_The impact of convolution calculation and impulse response on the system
Chapter 24:Continuous convolution-1_Use unit pulse function to represent continuous time signal
Chapter 25:Continuous Convolution-2_Continuous Impulse Response and Convolution Calculation
Chapter 26:Continuous convolution - 3_Continuous convolution calculation - exponential function and step function
Chapter 27:Properties of Convolution Operations - 1_Introduction to the three major properties of commutative law, distributive law, associative law
Chapter 28:Properties of Convolution Operations - 2_Commutative Law of Properties of Convolution Operations
Chapter 29:Properties of the Convolution Operation - 3. Distribution Law of the Properties of the Convolution Operation - Discrete
Chapter 30:Properties of Convolution Operations - 4_Distribution Law of Properties of Convolution Operations - Continuous
Chapter 31:Properties of the convolution operation - 5. The associative law of the properties of the convolution operation - Discrete
Chapter 32:Properties of the convolution operation - 6. The associative law of the properties of the convolution operation - continuous
Chapter 33:Properties of the Convolution Operation - 7_The relationship between the commutative law, the distributive law, the associative law and the system
Chapter 34:Convolution system theorem - 1_Non-memory system theorem under convolution operation
Chapter 35:Convolution system theorem - 2_ Reversibility system theorem under the convolution operation
Chapter 36:Convolution system theorem - 3_Causal system theorem under the convolution operation
Chapter 37:Convolution system theorem - 4_Stability system theorem under convolution operation
Chapter 38:Continuous F series - 1_Fourier series of continuous time periodic signals
Chapter 39:Continuous F Series - 2_Fourier Series of Continuous Time Trigonometric Functions - Intuition
Chapter 40:Continuous F Series - 3_Fourier Series of Continuous Time Trigonometric Functions - Formula
Chapter 41:Continuous F Series - 4_Fourier Series of Continuous Time Periodic Square Waves
Chapter 42:Continuous F series - 5_Fourier series of square waves with different periods in continuous time
Chapter 43:CT-FS Properties - 1_Properties of Continuous Time Fourier Series – Linear
Chapter 44:CT-FS Properties - 2_Properties of Continuous Time Fourier Series – Translation
Chapter 45:CT-FS Properties - 3_Properties of Continuous Time Fourier Series – Flip
Chapter 46:CT-FS Properties - 4_Properties of Continuous Time Fourier Series – Deformation
Chapter 47:CT-FS Properties - 5_Properties of Continuous Time Fourier Series – Multiplication
Chapter 48:CT-FS Properties - 6_Properties of Continuous Time Fourier Series – Differential
Chapter 49:CT-FS Properties - 7_Properties of Continuous Time Fourier Series – Integral
Chapter 50:CT-FS Properties - 8_Properties of Continuous Time Fourier Series – Conjugation
Chapter 51:CT-FS properties - 9_Example - Use CT-FS properties to find CT-FS coefficients
Chapter 52:Discrete F Series - 1_Fourier series for discrete time periodic signals
Chapter 53:Discrete F Series - 2_Fourier Series of Discrete Time Trigonometric Functions - Intuition
Chapter 54:Discrete F Series - 3_Fourier Series of Discrete Time Trigonometric Functions - Formula
Chapter 55:Discrete F Series - 4_Fourier series of discrete time periodic square waves
Chapter 56:DT-FS Properties - 1_Properties of Discrete Time Fourier Series – Linear
Chapter 57:DT-FS Properties - 2_Properties of Discrete Time Fourier Series – Translation
Chapter 58:DT-FS Properties - 3_Properties of Discrete Time Fourier Series – Flip
Chapter 59:DT-FS Properties - 4_Properties of Discrete Time Fourier Series – Multiplication
Chapter 60:DT-FS Properties - 5_Properties of Discrete Time Fourier Series – Difference
Chapter 61:DT-FS properties - 6_Use DT-FS properties to obtain DT-FS coefficients
Chapter 62:Continuous F Conversion - 1_Characteristic change from periodic signal to aperiodic signal
Chapter 63:Continuous F Transform - 2_From Fourier Series to Fourier Transform
Chapter 64:Continuous F Transform-3_Fourier Transform Example-Exponential Function
Chapter 65:Continuous F Transform - 4_Fourier Transform Example - Bilateral Exponential Function
Chapter 66:Continuous F Transform-5_Fourier Transform Example-Impulse Function
Chapter 67:Continuous F Transform-6_Fourier Transform Example-Square Wave Function
Chapter 68:Continuous F-Transform - 7_Fourier Transform of Periodic Signals
Chapter 69:Continuous F Transform-8_Fourier Transform Example-Periodic Square Wave Function
Chapter 70:Continuous F Transform-9_Fourier Transform Example-Periodic Trigonometric Function
Chapter 71:Continuous F Transform-10_Fourier Transform Example-Periodic Pulse Function
Chapter 72:CT-FT properties - 1_Linear properties of continuous time Fourier transform
Chapter 73:CT-FT Properties - 2_Translation Properties of Continuous Time Fourier Transform
Chapter 74:CT-FT Properties - 3_Conjugate Properties of Continuous Time Fourier Transform
Chapter 75:CT-FT Properties- 4_ Differential and Integral Properties of Continuous Time Fourier Transform
Chapter 76:CT-FT properties - 5_Expansion and compression properties of continuous time Fourier transform
Chapter 77:CT-FT system-1_Use Fourier transform to analyze the input-output relationship of the system
Chapter 78:CT-FT System-2_Example-System input, output and response function calculation
Chapter 79:CT-FT system-3_Multiplication operation of two signals
Chapter 80:CT-FT system-4_Example-Multiplication operation of two signals
Chapter 81:CT-FT System-5_Using Fourier Transform to Analyze Differential Equations
Chapter 82:Discrete F Transformation - 1_Characteristic changes from periodic to non-periodic signals
Chapter 83:Discrete F Transform - 2_From Fourier Series to Fourier Transform
Chapter 84:Discrete F Transform - 3_The Fourier transform of a discrete time signal is periodic
Chapter 85:Discrete F Transform-4_Fourier Transform Example-Exponential Function
Chapter 86:Discrete F Transform - 5_Fourier Transform Example - Bilateral Exponential Function
Chapter 87:Discrete F Transform-6_Fourier Transform Example-Square Wave Function
Chapter 88:Discrete F Transform - 7_Fourier Transform of Discrete Time Periodic Signals
Chapter 89:Discrete F Transform-8_Fourier Transform Example-Periodic Trigonometric Function
Chapter 90:Discrete F Transform-9_Fourier Transform Example-Periodic Impulse Function
Chapter 91:DT-FT Properties - 1_Linear Properties of Discrete Time Fourier Transform
Chapter 92:DT-FT Properties - 2_Translation Properties of Discrete Time Fourier Transform
Chapter 93:DT-FT Properties-3_Conjugate Properties of Discrete Time Fourier Transform
Chapter 94:DT-FT Properties - 4_Sum of Differences Derivative of Discrete Time Fourier Transform
Chapter 95:DT-FT properties - 5_Inversion and expansion of discrete time Fourier transform
Chapter 96:DT-FT system-1_Use Fourier transform to analyze the input-output relationship of the system
Chapter 97:DT-FT system - 2_Example - Calculation of system input, output and response functions
Chapter 98:DT-FT system-3_Multiplication operation of two signals
Chapter 99:DT-FT System-4_Using Fourier Transform to Analyze Difference Equations
Chapter 100:Laplace Transform - 1_ From Fourier Transform to Laplace Transform
Chapter 101:Laplace Transform - 2_ Laplace Transform Example - Positive Time Exponential Function
Chapter 102:Laplace Transform - 3_ Laplace Transform Example - Negative Time Exponential Function
Chapter 103:Laplace Transform - 4_ Laplace Transform Example - Trigonometric Functions
Chapter 104:Laplace Transform - 5_Inverse Transformation of Laplace Transform
Chapter 105:L Transformation Properties - 1_Linear Properties of Laplace Transformation
Chapter 106:L transformation properties - translation properties of 2_- Laplace transformation
Chapter 107:L transformation properties - 3_Deformation properties of Laplace transformation
Chapter 108:L Transformation Properties - 4_Folding Properties of Laplace Transform
Chapter 109:L transformation properties - 5_ Differential-integral properties of Laplace transformation
Chapter 110:L transformation system - 1_System properties of Laplace transformation─Causality
Chapter 111:L transformation system - 2_System properties of Laplace transformation─Stability
Chapter 112:Z Transform - 1_ From Fourier transform to z transform
Chapter 113:Z Transformation - 2_Z Transformation Example - Positive Time Exponential Function
Chapter 114:Z Transformation - 3_Z Transformation Example - Negative Time Exponential Function
Chapter 115:Z Transformation - 4_Z Transformation Example - Trigonometric Functions
Chapter 116:Z Transform - The inverse of the 5_Z Transform
Chapter 117:Z Transformation Properties - 1_Linear Properties of Z Transformation
Chapter 118:Z Transformation Properties - Translational Properties of 2_Z Transformation
Chapter 119:Z-transformation property - flipping property of 3_Z-transformation
Chapter 120:Z Transformation Properties - 4_Expansion Properties of Z Transformation
Chapter 121:Z Transformation Properties - 5_Deformation Properties of Z Transformation
Chapter 122:Z Transformation Properties - 6_Z Transformation Convolution Computational Properties
Chapter 123:Z Transformation Properties - 7_Differential Properties of Z Transformation
Chapter 124:Z transformation properties - 8_Initial value theorem and final value theorem of Z transformation
Chapter 125:Z-transformation system - 1_Systematic properties of Z-transformation─causality
Chapter 126:Z-transformation system - 2. System properties of Z-transformation─stability
Chapter 127:Continuous Control-1_Continuous time system block diagram representation
Chapter 128:Continuous Control - 2_Building Continuous Time Systems with Basic Components
Chapter 129:Continuous control-3_Block diagram representation of different connection methods
Chapter 130:Continuous control - 4_The position of the system pole determines the continuous time system characteristics
Chapter 131:Continuous Control-5_Use control to turn a divergent system into a convergent system
Chapter 132:Continuous control-6_Use control to enhance the convergence speed of the system
Chapter 133:Discrete control - 1_Discrete time system block diagram representation
Chapter 134:Discrete Control - 2_Building Discrete Time Systems with Basic Components
Chapter 135:Discrete control - 3_Block diagram representation of different connection methods
Chapter 136:Discrete Control-4_The position of the system pole determines the characteristics of the discrete-time system
Chapter 137:Discrete Control-5_Use control to turn a divergent system into a convergent system
Chapter 138:Discrete Control-6_Use control to enhance the convergence speed of the system
Chapter 139:Unit: Mathematical Tools-1_Expressions of Complex Numbers and Euler’s Relations
Chapter 140:Mathematical Tools-1_Expressions of Complex Numbers and Euler’s Relationships
Chapter 141:Math Tools - 2_Sum of Multiple Complex Numbers
Chapter 142:Math Tools - 3_Sum of Multiple Discrete Time Trigonometric and Exponential Functions
Chapter 143:Math Tools - 4._Integral of Trigonometric and Exponential Functions
Chapter 144:Math Tools - 6_Characteristics of SINC function
Chapter 145:Mathematical Tools-5_Integral of Multiple Continuous Time Trigonometric and Exponential Functions
Duration:6 minutes and 2 seconds
Date:2023/02/28
Uploader:木犯001号
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