ECE 301 Signals and Systems Fall 2018
Lecture Notes
Notes 1 - Intro, Energy, Power, Time Transformations.
Notes 2 - Periodic Signals, Even and Odd, Exponentials and Sinusoids, Complex Exponentials.
Notes 3 - Periodicity Properties of DT Complex Exponentials, Unit Impulse and Unit Step.
Notes 4 - System Properties.
Notes 5 - Linearity and Time Invariance, Sifting Property, Convolution Sum.
Notes 6 - Convolution Integral.
Notes 7 - Properties of LTI Systems in terms of Impulse Response.
Notes 8 - Linear Constant-Coefficient Differential Equations.
Notes 9 - Linear Constant-Coefficient Difference Equations, Block Diagram Representation, Singularity Functions.
Notes 10 - Fourier Series Representation of Periodic Signals.
Notes 11 - Fourier Series Representation of DT Signals.
Notes 12 - Properties of DTFS, Fourier Series and LTI Systems.
Practice Exam.
Notes 13 - Practice Exam Solutions.
Notes 14 - Fourier Transform of Continuous-Time Signals.
Notes 15 - Fourier Transform for CT Periodic Signals, Properties of CTFT.
Notes 16 - Properties of CTFT.
Notes 17 - Duality in CTFT Properties, Convolution Property.
Notes 18 - Ideal Low-Pass Filter, Multiplication Property and Modulation of Wireless Signals.
Notes 19 - Systems Characterized by Linear Constant-Coefficient Differential Equations, Discrete-Time Fourier Transform.
Notes 20 - DTFT: Examples, Periodic Signals.
Notes 21 - Properties of DTFT.
Notes 22 - Bandstop Filter, Multiplication Property of DTFT, Duality in DTFS.
Notes 23 - Duality between DTFT and CTFS, Systems Characterized by Linear Constant-Coefficient Difference Equations.
Practice Exam 2 - Solutions.
Notes 24 - Impulse-Train Sampling.
Notes 25 - Sampling with Zero-Order Hold, Reconstruction as Interpolation.
Notes 26 - Effect of Undersampling: Aliasing, DT Processing of CT Signals.
Notes 27 - Half-Sample Delay, Sampling of DT Signals, DT Decimation and Interpolation.
Notes 28 - Introduction to Laplace Transform.
Notes 29 - Region of Convergence for Laplace Transform.
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