Ali Tajer

Signals & Systems

Title	Topic
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