Lecture 1

introductions to signals & systems, signal size, signal classification

​

Lecture 2

discrete-time signals, signal symmetry, complex numbers, exponential function, signal operations

​

Lecture 3

useful signals (unite step, impulse (delta), gate)

​

Lecture 4

properties of delta function, ramp function, discrete-time signals, systems, linear systems

​

Lecture 5

system properties (linearity, time-invariance, memory, stability)

​

Lecture 6

response of LTI systems, convolution

​

Lecture 7

properties of convolution

​

Lecture 8

LTI system properties, orthogonal sets, Fourier series definition

​

Lecture 9

Fourier series expansion

​

Lecture 10

Fourier series properties

​

Lecture 11

Fourier series properties, trigonometric Fourier series

​

Lecture 12

Response of LTI systems to cosine inputs, Fourier transform definition

​

Lecture 13

Fourier transform properties

​

Lecture 14

Fourier transform properties

​

Lecture 15

Fourier transform properties, communication systems

​

Lecture 16

communication systems, sampling & reconstruction

​

Lecture 17

sampling & reconstruction

​

Lecture 18

Laplace transform

​

Lecture 19

inverse Laplace transform

​

Lecture 20

analyzing LTI systems by Laplace transform

​

Lecture 21

ideal filters, Butterworth filters

​

Lecture 22

Butterworth filters, 2nd order systems

​

Lecture 23

feedback

​

Lecture 24

Root locus

​

Lecture 25

z-transform

​

Lecture 26

z-transform properties

​