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 ConstantCoefficient Differential Equations.
Notes 9  Linear ConstantCoefficient 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 ContinuousTime 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 LowPass Filter, Multiplication Property and Modulation of Wireless Signals.
Notes 19  Systems Characterized by Linear ConstantCoefficient Differential Equations, DiscreteTime 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 ConstantCoefficient Difference Equations.
Practice Exam 2  Solutions.
Notes 24  ImpulseTrain Sampling.
Notes 25  Sampling with ZeroOrder Hold, Reconstruction as Interpolation.
Notes 26  Effect of Undersampling: Aliasing, DT Processing of CT Signals.
Notes 27  HalfSample Delay, Sampling of DT Signals, DT Decimation and Interpolation.
Notes 28  Introduction to Laplace Transform.
Notes 29  Region of Convergence for Laplace Transform.
