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Through the study of this course, students should be able to master the basic theories and methods of signal analysis, master various description methods of linear non-time-varying systems, master the time domain and frequency domain analysis methods of linear non-time-varying systems, and master relevant Some important conclusions in engineering applications such as system stability, frequency response, and causality. At the same time, through the study of this course, students' ability to analyze problems and use the knowledge they have learned to solve problems should also be improved on the original basis. Through the study of this course, students can lay a good foundation for further study of signal processing, network theory, communication theory, control theory and other courses in the future.
Chapters
Chapter 1：Introduction to Signals and Systems (3 minutes and 4 seconds)
Chapter 2：The Nature and Status of Signals and Systems Courses (15 minutes and 47 seconds)
Chapter 3：information transmission system (7 minutes and 49 seconds)
Chapter 4：Information transfer tasks (11 minutes and 57 seconds)
Chapter 5：signal concept (12 minutes and 29 seconds)
Chapter 6：Classification of signals (1) (13 minutes and 50 seconds)
Chapter 7：Classification of signals (2) (10 minutes and 9 seconds)
Chapter 8：Simple processing of signals (1) (8 minutes and 28 seconds)
Chapter 9：Simple processing of signals (2) (12 minutes and 18 seconds)
Chapter 10：system concept (12 minutes and 28 seconds)
Chapter 11：Description of the system (12 minutes and 13 seconds)
Chapter 12：Classification of systems (1) (15 minutes and 37 seconds)
Chapter 13：Classification of systems (2) (6 minutes and 58 seconds)
Chapter 14：Incremental linear system; zero input response, zero state response (16 minutes and 26 seconds)
Chapter 15：Contents of linear non-time-varying system analysis (12 minutes and 8 seconds)
Chapter 16：Introduction to linear non-time-varying system analysis methods (11 minutes and 11 seconds)
Chapter 17：ex1.4(1) (15 minutes and 36 seconds)
Chapter 18：ex1.4(2) (16 minutes and 56 seconds)
Chapter 19：Time-domain models of continuous-time systems (8 minutes and 0 seconds)
Chapter 20：Classical solutions to differential equations (21 minutes and 13 seconds)
Chapter 21：An introduction to modern time domain solutions to differential equations (15 minutes and 16 seconds)
Chapter 22：Operator representation of differential equations (10 minutes and 37 seconds)
Chapter 23：Arithmetic rules of differential operators (6 minutes and 6 seconds)
Chapter 24：Oliver Heaviside (12 minutes and 10 seconds)
Chapter 25：Formal solution of zero input response of linear time-invariant system (9 minutes and 37 seconds)
Chapter 26：Initial conditions determine the undetermined coefficients (4 minutes and 36 seconds)
Chapter 27：Zero input response example explanation (21 minutes and 16 seconds)
Chapter 28：Introduction to equivalent source solution for zero input response (2 minutes and 31 seconds)
Chapter 29：Basic ideas for solving zero-state response of linear systems (5 minutes and 13 seconds)
Chapter 30：Requirements for sub-signals (3 minutes and 38 seconds)
Chapter 31：step signal (5 minutes and 22 seconds)
Chapter 32：impulse signal (14 minutes and 58 seconds)
Chapter 33：The signal is decomposed into the sum of step signals (11 minutes and 21 seconds)
Chapter 34：The signal is decomposed into the sum of impulse signals (11 minutes and 55 seconds)
Chapter 35：Duamel Points (6 minutes and 42 seconds)
Chapter 36：convolution integral (5 minutes and 59 seconds)
Chapter 37：Convolution definition and calculation (14 minutes and 48 seconds)
Chapter 38：Properties of convolution (16 minutes and 30 seconds)
Chapter 39：Convolution of several special signals (7 minutes and 0 seconds)
Chapter 40：Introduction to system impulse response solution methods (10 minutes and 52 seconds)
Chapter 41：Solving the impulse response of a first-order system (14 minutes and 1 seconds)
Chapter 42：Solving the impulse response of a second-order system (7 minutes and 31 seconds)
Chapter 43：Solving the impulse response of any order system (13 minutes and 25 seconds)
Chapter 44：Full response time domain method solution process and examples (10 minutes and 40 seconds)
Chapter 45：Relationship between natural_forced response and zero-input_zero-state response (14 minutes and 5 seconds)
Chapter 46：The response of some typical signals through the system, as well as a summary of the time domain solution method (6 minutes and 11 seconds)
Chapter 47：Key and difficult points to analyze and solve for impulse response (7 minutes and 55 seconds)
Chapter 48：Analysis of key and difficult points in solving convolution integrals (16 minutes and 53 seconds)
Chapter 49：introduction (9 minutes and 39 seconds)
Chapter 50：Orthogonal decomposition of vectors (18 minutes and 50 seconds)
Chapter 51：Orthogonal decomposition of signals (19 minutes and 49 seconds)
Chapter 52：Analogy of signal and vector decomposition (5 minutes and 30 seconds)
Chapter 53：The first form of the Fourier series expansion (14 minutes and 3 seconds)
Chapter 54：The second type of Fourier series expansion (7 minutes and 21 seconds)
Chapter 55：Direchlet conditions (3 minutes and 56 seconds)
Chapter 56：The interval of Fourier series expansion (4 minutes and 54 seconds)
Chapter 57：DC component, fundamental wave and harmonics (2 minutes and 42 seconds)
Chapter 58：Fourier series expansion of periodic square waves (4 minutes and 40 seconds)
Chapter 59：Bibbs phenomenon (17 minutes and 7 seconds)
Chapter 60：Fourier series expansion of the complex sine form (19 minutes and 38 seconds)
Chapter 61：Odd and even signals and odd and even harmonic signals (13 minutes and 22 seconds)
Chapter 62：Signal Power and Pasval’s Theorem (14 minutes and 34 seconds)
Chapter 63：One-sided spectrum (15 minutes and 59 seconds)
Chapter 64：bilateral spectrum (2 minutes and 25 seconds)
Chapter 65：Characteristics of periodic signal spectrum (6 minutes and 32 seconds)
Chapter 66：The impact of changes in time domain parameters on spectrum (1) (19 minutes and 4 seconds)
Chapter 67：The impact of changes in time domain parameters on spectrum (2) (15 minutes and 59 seconds)
Chapter 68：Fourier transform (9 minutes and 5 seconds)
Chapter 69：Inverse Fourier Transform (9 minutes and 19 seconds)
Chapter 70：Forward and inverse Fourier transform formula (9 minutes and 44 seconds)
Chapter 71：Spectrum of aperiodic signal (5 minutes and 7 seconds)
Chapter 72：Various forms of Fourier changes (4 minutes and 15 seconds)
Chapter 73：Fourier transform of common signals (1) (12 minutes and 19 seconds)
Chapter 74：Fourier transform of common signals (2) (13 minutes and 40 seconds)
Chapter 75：Fourier transform of periodic signals (17 minutes and 14 seconds)
Chapter 76：Linear characteristics, delay characteristics, frequency shift characteristics (16 minutes and 58 seconds)
Chapter 77：Scale transformation characteristics and odd-even virtual-real characteristics (12 minutes and 48 seconds)
Chapter 78：Symmetrical and differential properties (11 minutes and 23 seconds)
Chapter 79：Integral characteristics (8 minutes and 55 seconds)
Chapter 80：Frequency domain calculus properties (11 minutes and 20 seconds)
Chapter 81：convolution theorem (3 minutes and 0 seconds)
Chapter 82：Calculus Properties Application (12 minutes and 18 seconds)
Chapter 83：Application examples of properties of Fourier transform (7 minutes and 7 seconds)
Chapter 84：An example of using Fourier transform properties with caution (12 minutes and 30 seconds)
Chapter 85：power spectrum (7 minutes and 21 seconds)
Chapter 86：energy spectrum (15 minutes and 58 seconds)
Chapter 87：Pulse width and frequency band (7 minutes and 24 seconds)
Chapter 88：Introduction to Fourier (5 minutes and 45 seconds)
Chapter 89：Overview of time domain analysis method (8 minutes and 27 seconds)
Chapter 90：Analysis of circuit system response to periodic signals (14 minutes and 4 seconds)
Chapter 91：Analysis of general linear system response to periodic signals (1) (10 minutes and 5 seconds)
Chapter 92：Analysis of general linear system response to periodic signals (2) (9 minutes and 22 seconds)
Chapter 93：Frequency characteristics of linear systems (4 minutes and 48 seconds)
Chapter 94：System Frequency Curve Analysis Method (10 minutes and 41 seconds)
Chapter 95：Frequency domain analysis method of non-periodic signal response - from the perspective of signal superposition (5 minutes and 16 seconds)
Chapter 96：Comparison of response analysis methods for periodic signals and non-periodic signals (3 minutes and 14 seconds)
Chapter 97：The second view of frequency domain analysis method-directly from differential equations (2 minutes and 3 seconds)
Chapter 98：The third view of frequency domain analysis method—from the perspective of convolution integral (2 minutes and 44 seconds)
Chapter 99：A new solution method for system impulse response—Fourier transform method (1 minutes and 19 seconds)
Chapter 100：Comparison between frequency domain method and time domain method (2 minutes and 58 seconds)
Chapter 101：Filters and their classification (12 minutes and 31 seconds)
Chapter 102：Impulse response and step response of ILPF (9 minutes and 55 seconds)
Chapter 103：Analysis and discovery of ILPF step response—Four major revelations (10 minutes and 8 seconds)
Chapter 104：Definition and Judgment Method of Causal System (3 minutes and 46 seconds)
Chapter 105：Judging causality only from amplitude-frequency characteristics - Pellivina criterion (9 minutes and 28 seconds)
Chapter 106：Characteristics of physically realizable low-pass filters (7 minutes and 16 seconds)
Chapter 107：Several common types of low-pass filters (13 minutes and 57 seconds)
Chapter 108：The concept and meaning of modem (18 minutes and 54 seconds)
Chapter 109：AM waves and their spectrum (11 minutes and 27 seconds)
Chapter 110：AM wave modulation coefficient and power (15 minutes and 4 seconds)
Chapter 111：AM wave envelope demodulation principle (3 minutes and 56 seconds)
Chapter 112：The influence of amplitude modulation coefficient on amplitude modulated waves (2 minutes and 44 seconds)
Chapter 113：Principle of synchronous demodulation of amplitude modulated waves (3 minutes and 51 seconds)
Chapter 114：Suppressed carrier AM modulation and demodulation (9 minutes and 29 seconds)
Chapter 115：Principles of single sideband (and residual sideband) modulation and demodulation (9 minutes and 40 seconds)
Chapter 116：Principles of pulse amplitude modulation and demodulation (20 minutes and 15 seconds)
Chapter 117：Frequency division multiplexing and time division multiplexing of channels (14 minutes and 21 seconds)
Chapter 118：Causes of distortion and conditions for non-distortion (17 minutes and 43 seconds)
Chapter 119：Conditions for linear systems to transmit signals without distortion (2) (6 minutes and 33 seconds)
Chapter 120：Conditions for linear system to transmit AM waves without distortion (4 minutes and 25 seconds)
Chapter 121：Overview (4 minutes and 24 seconds)
Chapter 122：From Fourier transform to Laplace transform (14 minutes and 5 seconds)
Chapter 123：Derivation of the inverse Laplace transform (4 minutes and 27 seconds)
Chapter 124：Laplace transform pair (6 minutes and 24 seconds)
Chapter 125：Unilateral and Bilateral Laplace Transform (4 minutes and 29 seconds)
Chapter 126：The physical meaning of Laplace transform (6 minutes and 24 seconds)
Chapter 127：Definition of convergence interval (5 minutes and 57 seconds)
Chapter 128：Convergence region of one-sided Laplace transform (14 minutes and 35 seconds)
Chapter 129：Convergence region of bilateral Laplace transform (11 minutes and 0 seconds)
Chapter 130：The relationship between the existence condition of Fourier change and the convergence area of Laplace change (4 minutes and 14 seconds)
Chapter 131：Laplace transform of exponential signals (16 minutes and 1 seconds)
Chapter 132：Laplace Transform of Power Class Signals (6 minutes and 38 seconds)
Chapter 133：Laplace transform of impulse signals (1 minutes and 41 seconds)
Chapter 134：The idea of partial fraction decomposition method of inverse transformation (12 minutes and 7 seconds)
Chapter 135：Partial fraction decomposition method - case 1 (12 minutes and 5 seconds)
Chapter 136：Partial fraction decomposition method - case 2 (4 minutes and 10 seconds)
Chapter 137：Partial fraction decomposition method - case 3 (8 minutes and 32 seconds)
Chapter 138：Residue calculation method of inverse transformation (13 minutes and 15 seconds)
Chapter 139：Example of calculating the inverse Laplace transform using the residue method (8 minutes and 57 seconds)
Chapter 140：Supplementary knowledge points on complex variable functions (1 minutes and 45 seconds)
Chapter 141：Calculation of remainders (2 minutes and 56 seconds)
Chapter 142：Things to note when calculating the inverse Laplace transform using the residue method (2 minutes and 49 seconds)
Chapter 143：Calculation method for residues that does not satisfy the inverse transformation of auxiliary covenant establishment (9 minutes and 15 seconds)
Chapter 144：Comparison of partial fraction decomposition method and residue method for solving inverse LT transform (4 minutes and 14 seconds)
Chapter 145：Extreme zero chart (9 minutes and 52 seconds)
Chapter 146：Linear characteristics & scale transformation characteristics (6 minutes and 25 seconds)
Chapter 147：Delay characteristics and Laplace transform of single-sided periodic signals (10 minutes and 33 seconds)
Chapter 148：Complex frequency shift characteristics (4 minutes and 44 seconds)
Chapter 149：Time domain differential characteristics (7 minutes and 6 seconds)
Chapter 150：Time domain integration characteristics (4 minutes and 48 seconds)
Chapter 151：Complex frequency domain calculus properties (7 minutes and 5 seconds)
Chapter 152：Parametric calculus properties (2 minutes and 4 seconds)
Chapter 153：Initial value theorem & final value theorem (8 minutes and 12 seconds)
Chapter 154：Convolution theorem & dual properties (4 minutes and 9 seconds)
Chapter 155：Solve the total response of the system from differential equations (5 minutes and 57 seconds)
Chapter 156：Solve the full response of the system from the circuit (7 minutes and 24 seconds)
Chapter 157：LT analysis of zero state response (4 minutes and 35 seconds)
Chapter 158：Calculation of H(s) (13 minutes and 10 seconds)
Chapter 159：LT analysis method for zero input response (11 minutes and 35 seconds)
Chapter 160：The relationship between the response components (5 minutes and 1 seconds)
Chapter 161：Introduction to RLC response analysis (1 minutes and 20 seconds)
Chapter 162：Definition and calculation of bilateral LT (9 minutes and 0 seconds)
Chapter 163：LT calculation of left signal (9 minutes and 48 seconds)
Chapter 164：LT calculation for bilateral signals (11 minutes and 10 seconds)
Chapter 165：partial fraction decomposition method (10 minutes and 56 seconds)
Chapter 166：Residue method (13 minutes and 8 seconds)
Chapter 167：Comparison of unilateral and bilateral LT calculations (2 minutes and 27 seconds)
Chapter 168：LT analysis method of linear system response to bilateral signals (10 minutes and 35 seconds)
Chapter 169：Analog block diagram and its basic units (16 minutes and 58 seconds)
Chapter 170：Block diagram corresponding to a simple differential equation (3 minutes and 42 seconds)
Chapter 171：Block diagram corresponding to a general form of differential equation (13 minutes and 57 seconds)
Chapter 172：System block diagram series and parallel implementation approach (12 minutes and 36 seconds)
Chapter 173：System simulation block diagram and simulation computer (16 minutes and 43 seconds)
Chapter 174：Introduction to flow graphs (18 minutes and 2 seconds)
Chapter 175：System functions and their physical meaning (6 minutes and 40 seconds)
Chapter 176：System frequency characteristics (10 minutes and 21 seconds)
Chapter 177：complex trajectory (5 minutes and 41 seconds)
Chapter 178：Extreme zero chart (4 minutes and 34 seconds)
Chapter 179：Characteristics of extremely zero graphs (3 minutes and 38 seconds)
Chapter 180：The relationship between the pole zero diagram and the zero input response of the system (4 minutes and 0 seconds)
Chapter 181：Extreme Zero Diagram and System Frequency Response (21 minutes and 13 seconds)
Chapter 182：All-pass system and minimum phase system (8 minutes and 57 seconds)
Chapter 183：Difficulties in expressing conventional frequency characteristic curves (5 minutes and 16 seconds)
Chapter 184：Bode plot of the system (22 minutes and 39 seconds)
Chapter 185：A brief introduction to the system Porter diagram method (3 minutes and 23 seconds)
Chapter 186：Bode plot of a single zero (pole) point system (15 minutes and 37 seconds)
Chapter 187：Synthesis of System Bode Plot (7 minutes and 2 seconds)
Chapter 188：Definition of system stability (6 minutes and 33 seconds)
Chapter 189：Necessary and sufficient conditions for system stability (10 minutes and 0 seconds)
Chapter 190：Extremes and Stability (13 minutes and 18 seconds)
Chapter 191：RH criterion (1) (16 minutes and 58 seconds)
Chapter 192：RH criterion (2) (4 minutes and 34 seconds)
Chapter 193：RH criterion (3) (10 minutes and 7 seconds)
Chapter 194：RH criterion (4) (13 minutes and 8 seconds)
Chapter 195：Feedback systems and their stability (12 minutes and 21 seconds)
Chapter 196：Introduction to Feedback Systems and Cybernetics (10 minutes and 9 seconds)
Chapter 197：How to transition from continuous to discrete (2 minutes and 30 seconds)
Chapter 198：Discrete Time Signals and Systems (4 minutes and 38 seconds)
Chapter 199：The relationship between continuous signals and discrete signals (7 minutes and 1 seconds)
Chapter 200：Representation of discrete signals (6 minutes and 30 seconds)
Chapter 201：Typical discrete time signals (10 minutes and 47 seconds)
Chapter 202：Simple processing of discrete time signals (3 minutes and 8 seconds)
Chapter 203：Linear shift invariant discrete time system (2 minutes and 56 seconds)
Chapter 204：ideal sampling (11 minutes and 45 seconds)
Chapter 205：Nyquist sampling theorem (15 minutes and 44 seconds)
Chapter 206：Sampling and recovery in actual projects (10 minutes and 54 seconds)
Chapter 207：difference equation (17 minutes and 6 seconds)
Chapter 208：Discrete time system block diagram (9 minutes and 49 seconds)
Chapter 209：Overview (9 minutes and 9 seconds)
Chapter 210：difference operator (5 minutes and 56 seconds)
Chapter 211：Zero input response solution (20 minutes and 47 seconds)
Chapter 212：Characteristic roots and stability (13 minutes and 6 seconds)
Chapter 213：Convolution and solution method for zero state response (13 minutes and 29 seconds)
Chapter 214：Calculation of convolution sum (19 minutes and 5 seconds)
Chapter 215：Properties of convolution sum (3 minutes and 22 seconds)
Chapter 216：Solution of h(k) (1) (14 minutes and 20 seconds)
Chapter 217：Solution of h(k)(2) (15 minutes and 52 seconds)
Chapter 218：Solution of h(k) - Example (3) (13 minutes and 48 seconds)
Chapter 219：Solution for full response (1) (22 minutes and 8 seconds)
Chapter 220：Solution for full response (2) (5 minutes and 52 seconds)
Chapter 221：Comparison of continuous and discrete time domain methods (17 minutes and 5 seconds)
Chapter 222：Overview of Transform Domain Analysis (9 minutes and 3 seconds)
Chapter 223：Export of Z transform (13 minutes and 11 seconds)
Chapter 224：Discussion of F(z) (4 minutes and 46 seconds)
Chapter 225：Unilateral and bilateral ZT (1 minutes and 52 seconds)
Chapter 226：Convergence region of Z transform (1 minutes and 58 seconds)
Chapter 227：Convergence region of ZT for finite-length signals (3 minutes and 16 seconds)
Chapter 228：The convergence area of ZT of the signal on the right (7 minutes and 19 seconds)
Chapter 229：The convergence area of ZT of the left signal (4 minutes and 14 seconds)
Chapter 230：Convergence area of ZT for bilateral signals (10 minutes and 6 seconds)
Chapter 231：ZT of common signals (3 minutes and 55 seconds)
Chapter 232：Calculation of ZT of the left signal (5 minutes and 4 seconds)
Chapter 233：Calculation of ZT for bilateral signals (7 minutes and 6 seconds)
Chapter 234：Linear & increasing order properties (10 minutes and 13 seconds)
Chapter 235：Decreasing order property (2 minutes and 37 seconds)
Chapter 236：Shifting properties of bilateral ZT (47 seconds)
Chapter 237：Z-domain scale transformation & differential characteristics (4 minutes and 18 seconds)
Chapter 238：Convolution & initial and final value characteristics (5 minutes and 48 seconds)
Chapter 239：long division (9 minutes and 30 seconds)
Chapter 240：partial fraction expansion method (13 minutes and 40 seconds)
Chapter 241：Bilateral ZT inverse transform calculation (7 minutes and 57 seconds)
Chapter 242：Residue method (1) (17 minutes and 12 seconds)
Chapter 243：Residue method (2) (12 minutes and 8 seconds)
Chapter 244：The relationship between the sampling signal LT and the sequence ZT (11 minutes and 12 seconds)
Chapter 245：The relationship between the continuous signal LT and its corresponding sampling signal ZT (14 minutes and 6 seconds)
Chapter 246：Z-transform analysis method solution idea (2 minutes and 1 seconds)
Chapter 247：ZT solution for zero input response (7 minutes and 24 seconds)
Chapter 248：ZT solution for zero state response (12 minutes and 29 seconds)
Chapter 249：Synthesis of zero input and zero state response (5 minutes and 53 seconds)
Chapter 250：Full response one-time ZT solution method (15 minutes and 17 seconds)
Chapter 251：Discrete system stability determination (1) (14 minutes and 12 seconds)
Chapter 252：Discrete system stability determination (2) (9 minutes and 11 seconds)
Chapter 253：Implementation of H(z) (8 minutes and 11 seconds)
Chapter 254：Classification of digital filters (16 minutes and 38 seconds)
Chapter 255：Overview (4 minutes and 26 seconds)
Chapter 256：DTFT (18 minutes and 27 seconds)
Chapter 257：spectrum of a discrete signal (10 minutes and 43 seconds)
Chapter 258：DTFT of DC and sinusoidal signals (14 minutes and 59 seconds)
Chapter 259：DFS (9 minutes and 53 seconds)
Chapter 260：DTFT properties (7 minutes and 31 seconds)
Chapter 261：frequency domain analysis (11 minutes and 22 seconds)
Chapter 262：Frequency response of discrete systems (9 minutes and 42 seconds)
Chapter 263：Continuous vs. Discrete Comparison (1) (15 minutes and 38 seconds)
Chapter 264：Continuous vs. Discrete Comparison (2) (10 minutes and 2 seconds)
Chapter 265：Shortcomings of existing methods (7 minutes and 47 seconds)
Chapter 266：Advantages of the state equation representation of the system (4 minutes and 11 seconds)
Chapter 267：Equation of state (18 minutes and 29 seconds)
Chapter 268：Output equation (5 minutes and 23 seconds)
Chapter 269：Linear system state equation description method (2 minutes and 3 seconds)
Chapter 270：Equation of state in phase variable form (20 minutes and 45 seconds)
Chapter 271：Equation of state in diagonal form (9 minutes and 50 seconds)
Chapter 272：Diversity of Equations of State (7 minutes and 36 seconds)
Chapter 273：Equations of state for discrete time systems (1 minutes and 59 seconds)
Chapter 274：Selection of state variables in electrical systems (11 minutes and 59 seconds)
Chapter 275：Establishment of state equation (8 minutes and 59 seconds)
Chapter 276：Creation of output equations (53 seconds)
Chapter 277：Another example (15 minutes and 5 seconds)
Chapter 278：LT Analysis of State Equation (9 minutes and 29 seconds)
Chapter 279：Solving the output equation (2 minutes and 6 seconds)
Chapter 280：Transfer function matrix & system natural frequency (6 minutes and 49 seconds)
Chapter 281：Characteristic roots of A matrix and system stability (9 minutes and 0 seconds)
Chapter 282：state transition matrix (2 minutes and 16 seconds)
Chapter 283：Controllability (10 minutes and 48 seconds)
Chapter 284：Observability (6 minutes and 21 seconds)
Chapter 285：Euler method (19 minutes and 5 seconds)
Chapter 286：Runge Kutafa (3 minutes and 49 seconds)
Chapter 287：Numerical analysis of nonlinear systems (14 minutes and 17 seconds)
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