Lecture Notes on Signals and Systems
(University of Arizona)

• Lecture Note 1, State-space models; block diagrams (Friday, January 22, 1999)
• Lecture Note 2, Conversions between time and frequncy domains (Monday, January 25, 1999)
• Lecture Note 3, Solution of linear 1st-order differential equations in the time domain (Monday, February 1, 1999)
• Lecture Note 4, Solution of linear higher-order differential equations in the time domain; definition of matrix exponentials (Wednesday, February 3, 1999)
• Lecture Note 5, Solution of linear systems in the time and frequency domains; evaluation of matrix exponentials; impulse response; convolution operator (Wednesday, February 3, 1999)
• Lecture Note 6, The superposition principle (Friday, February 5, 1999)
• Lecture Note 7, Modeling electrical circuits in the time domain (Friday, February 5, 1999)
• Lecture Note 8, Matrix calculus I, solution of linear systems of equations, inverses, adjugates, determinants of matrices (Wednesday, February 17, 1999)
• Lecture Note 9, Matrix calculus II, solution of multiple linear systems of equations, matrix multiplication, the transpose of a matrix, some matrix algebra rules (Friday, February 19, 1999)
• Lecture Note 10, Impulse response, step response, input response (Monday, February 22, 1999)
• Lecture Note 11, BIBO stability, Lyapunov stability (Friday, February 26, 1999)
• Lecture Note 12, Vector calculus: vector spaces, orthogonality, bases (Friday, March 5, 1999)
• Lecture Note 13, Functional algebra: function spaces, orthogonality, bases (Monday, March 8, 1999)
• Lecture Note 14, Generalized Fourier transforms (Wednesday, March 10, 1999)
• Lecture Note 15, More about Fourier transforms (Friday, March 12, 1999)
• Lecture Note 16, Different representations of Fourier transform (Monday, March 22, 1999)
• Lecture Note 17, Relationship between Fourier and Laplace transforms (Monday, March 22, 1999)
• Lecture Note 18, Circuit analysis in the frequency domain (Monday, March 29, 1999)
• Lecture Note 19, Circuit analysis in the frequency domain - addendum (Wednesday, March 31, 1999)
• Lecture Note 20, Stability and continued fraction expansion (Friday, April 2, 1999)
• Lecture Note 21, Routh-Hurwitz stability criterion (Monday, April 5, 1999)
• Lecture Note 22, Exponential stability, parametric stability (Wednesday, April 7, 1999)
• Lecture Note 23, Pole/zero locations for straight-line approximations of Bode plots (Friday, April 16, 1999)
• Lecture Note 24, Similarity and duality transformations (Monday, April 19, 1999)
• Lecture Note 25, Transformations to controller- and observer-canonical forms (Wednesday, April 21, 1999)
• Lecture Note 26, Jordan-canonical form (Friday, April 23, 1999)
• Lecture Note 27, Eigenvalues and eigenvectors (Monday, April 26, 1999)
• Lecture Note 28, Transformation to Jordan-canonical form (Monday, April 26, 1999)
• Lecture Note 29, Spectral decomposition, transcendental functions, Cayley-Hamilton theorem (Wednesday, April 28, 1999)
• Lecture Note 30, Sample/hold, digital/analog, and analog/digital circuits (Friday, April 30, 1999)
• Lecture Note 31, Shannon's sampling theorem, z-transform (Monday, May 3, 1999)

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