How to learn Lecture Notes on Signals and Systems pdf

Lecture Notes on Signals and Systems 

• Lecture Note 1, State-space models; block diagrams 
• Lecture Note 2, Conversions between time and frequncy domains 
• Lecture Note 3, Solution of linear 1st-order differential equations in the time domain 
• Lecture Note 4, Solution of linear higher-order differential equations in the time domain; definition of matrix exponentials 
• Lecture Note 5, Solution of linear systems in the time and frequency domains; evaluation of matrix exponentials; impulse response; convolution operator 
• Lecture Note 6, The superposition principle 
• Lecture Note 7, Modeling electrical circuits in the time domain 
• Lecture Note 8, Matrix calculus I, solution of linear systems of equations, inverses, adjugates, determinants of matrices 
• Lecture Note 9, Matrix calculus II, solution of multiple linear systems of equations, matrix multiplication, the transpose of a matrix, some matrix algebra rules
• Lecture Note 10, Impulse response, step response, input response 
• Lecture Note 11, BIBO stability, Lyapunov stability 
• Lecture Note 12, Vector calculus: vector spaces, orthogonality, bases 
• Lecture Note 13, Functional algebra: function spaces, orthogonality, bases 
• Lecture Note 14, Generalized Fourier transforms 
• Lecture Note 15, More about Fourier transforms
• Lecture Note 16, Different representations of Fourier transform 
• Lecture Note 17, Relationship between Fourier and Laplace transforms 
• Lecture Note 18, Circuit analysis in the frequency domain 
• Lecture Note 19, Circuit analysis in the frequency domain - addendum 
• Lecture Note 20, Stability and continued fraction expansion (
• Lecture Note 21, Routh-Hurwitz stability criterion 
• Lecture Note 22, Exponential stability, parametric stability 
• Lecture Note 23, Pole/zero locations for straight-line approximations of Bode plots 
• Lecture Note 24, Similarity and duality transformations 
• Lecture Note 25, Transformations to controller- and observer-canonical forms 
• Lecture Note 26, Jordan-canonical form
• Lecture Note 27, Eigenvalues and eigenvectors
• Lecture Note 28, Transformation to Jordan-canonical form 
• Lecture Note 29, Spectral decomposition, transcendental functions, Cayley-Hamilton theorem
• Lecture Note 30, Sample/hold, digital/analog, and analog/digital circuits 
• Lecture Note 31, Shannon's sampling theorem, z-transform