Signals Book Indexes

The Trigger

I want smth to help me navigate the topics within the Signals book and a general Bird’s Eye view of the Course’s content.

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The Course’s content tree

Reference Key

book_2 ⇒ from the Book

draw ⇒ from the prof’s handwritten notes

slideshow ⇒ from the prof’s slides

The Tree

CH1 - Signals and Systems

A Review on Complex Numbers

Only included within the prof’s slides

  - (slideshowlec #1)

Continuous-Time and Discrete-Time Signals

Signal Classification and Power and Energy Signals (book_2p. 1-7 | slideshowlec #2)

Transformations of the Independent Variable

Signal Transformation (Independant + Dependant variable)

  - (book_2p. 7-9 | slideshowlec #2, 3)

Even and Odd signals + Periodicity

  - (book_2p. 11-14 | slideshowlec #3)

Exponential and Sinusoidal Signals

The prof’s slides include a nice introduction to complex signals

  - (book_2p. 14-29 | slideshowlec #4)

The Unit Impulse and Unit Step Functions

… (book_2p. 30-36 | slideshowlec #5)

Continuous-Time and Discrete-Time Systems

… (book_2p. 38)

Basic System Properties

… (book_2p. 44-54 | slideshowlec #6, 7)

CH2 - LTI Systems (book_2p. 74)

Discrete-Time LTI Systems: The Convolution Sum

… (book_2p. 75-79 | slideshowlec #8, 9)

Continuous-Time LTI Systems: The Convolution Integral

… (book_2p. 90-97 | slideshowlec #10, 11)

Properties of LTI systems

… (book_2p. 103-114 | slideshowlec #12)

CH3 - Fourier Series (for Periodic signals) (book_2p. 177)

The Response of LTI Systems to Complex Exponentials

… (book_2p. 182-184 | drawp. 2)

Representation of Continuous-Time Periodic signals

Fourier’s Claim + its proof

  - (book_2p. 190, 191 | drawp. 2-4 | slideshowlec #16)

Convergence of the Fourier Series

Dirichlet’s conditions

  - (book_2p. 197 | drawp. 6)

Gibb’s Phenomenon

  - (book_2p. 200 | drawp. 7)

Properties of the CT Fourier Series

… (book_2p. 202-206 | drawp. 7-11 | slideshowlec #16)

Representation of Discrete-Time Periodic signals

… (book_2p. 211-214 | drawp. 14)

Properties of the DT Fourier Series

… (book_2p. 221-223 | drawp. 17-19)

CH4 - Fourier Transform for CT Signals (Periodic + Aperiodic) (book_2p. 284 | drawp. 21)

The FT for Aperiodic Signals

…

The FT of Periodic signals

…

Properties of CT Fourier

…

The Convolution Property

…

CH5 - Fourier Transform for DT Signals (book_2p. 358 | drawp. 22-23)

The FT for Aperiodic Signals

…

The FT of Periodic signals

…

Properties of DT Fourier

…

The Convolution Property

…

CH9 - Laplace Transform (book_2p.654)

Region of Convergence

everything covered

  - (book_2p. 662 | slideshowlec #13, 14)[slide 7]

Inverse Laplace Transform

everything covered

  - (book_2p. 670 | slideshowlec #13, 14)[slide 16]

Properties of Laplace Transform

  - (book_2p. 683-690 | drawp. 8-11 | slideshowlec #13, 14)

Analysis and Characterization of LTI Systems Using the Laplace Transform (book_2p. 693)

Causality and Stability ONLY

  - (book_2p. 693, 695 | drawp.15, 15)

Block Diagram Representation (book_2p. 706)

I don’t think using the book as a reference would help here.

Conversion from the original book to Prof. Refaey's

Pages: 1 ⇒ 422 (no mod)

Pages: 433 ⇒ The END (-= 231)

• you need to remember how to do partial fractions decomp.
• you’ll (isa) create a problem strategy for solving block diagram questions.

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