ECE 301 Signals and Systems Spring 2019

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.