Class Notes

Class Notes (Make sure you take your own notes in the class as not all notes will be posted. Your instructor will indicate the material that comes directly from the text to reduce the amount of  writing. You are encouraged to read the textbook)

Chapter 1 & 2: Introduction

• Tentative Notes (Please this does not substitute the book) (Ch1 & 2 pdf)

  Matlab example for the sum of periodic signals, another Example (Matlab file)

• Additional Examples for Graphical Convolution

• Graphical Convolution (Power Point Presentation)

• The Joy of Convolution (Link to another Website)

Chapter 3: LTI Systems and Convolution

• Tentative Notes  (Updated Notes )

Chapter 4: Fourier Series

• Updated Notes (Please this does not substitute the book) (Fourier Series pdf 3/16/2013)

• Matlab Examples to demonstrate FS (see figures below) (zip)

• Visit Johns Hopkins University Signal Website:

  • Fourier Series Approximation

  • Listen to Fourier Series

Chapter 5: Fourier Transform

• Fourier Transform Pairs (jpg)

• Fourier Transform Properties (jpg)

• Time Transformed Rectangular pulses and their Frequency Spectra (jpg)

• Examples for integration/ differentiation properties and F.T. of periodic signals (pptx)

• Tentative Notes (Please this does not substitute the book) (Fourier Transform pdf)

Chapter 6: Application of the Fourier Transform (ppt)

Chapter 7: Laplace Transform

• Laplace Transform Pairs (jpg)

• Laplace Transform Properties (jpg)

• Tentative Notes (Please this does not substitute the book) (Laplace Transform pdf)

• Explore the S-Domain (Link to JHU website)

Discrete Signals

• Sampling (5.4)  (docx)

• Signal recovery (6.4) (pdf)

• Discrete Time LTI Systems with Introduction (pdf)

• Z-Transform (part1 , part 2)
   

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Notes from the previous textbook are posted below

Check Course WebCT

• Chapter 1: Introduction
  • Chapter I_ Signal and System Modeling (pdf)
  • Matlab for example_1_6.m: Is the sum of two sinusoids periodic?

• Chapter 2: System Modeling & Analysis in the Time Domain

  • Textbook Examples for Graphical Convolution

  • Graphical Convolution (Power Point Presentation)

  • The Joy of Convolution (Link to another Website)

  • Summary System Modeling Concepts

   

• Chapter 3: The Fourier Series

  • Matlab Examples to demonstrate FS (see figures below) (zip)

  • Coefficients for complex exponential  F.S. of Several Signals (Table 3.1) (jpg)

  • Summary of F.S. Properties (Table 3-2: Print and Post in your room!)

  • Additional Example and Practice Problem about Exponential F.S.

  • Spectral lines  for Periodic Pulse Train Signal (Figure 3-11 from the text)

  • Example (3-12) from the text: Steady State Response of a Fixed, LTI distortionless system

  • Visit Johns Hopkins University Signal Website (Fourier Series Approximation, Listen to Fourier Series)

• Chapter 4: Fourier Transform & Applications

  • Fourier Transform Theorem Table 4_1 (jpg)

  • Fourier Transform Pairs Table 4_2 (jpg) *You should memorize (1,2,4,8-13,18)

  • Example Ch4ex20.m,  Fourier Transform of Spectrum of Periodic Signals: Output Figure(jpg)
     

• Chapter 5:

  • Laplace Transform Theorems Table 5_2 (jpg)

  • Chapter 5 The Laplace Transform (jnt)

  • Single_sided Laplace Transforms Table 5_3 (jpg)

  • Partial Fraction Expansion (Power Point Presentation)
     

Chapter 6:  *These are some of the notes (NOT ALL)

• Introduction

• Laplace Transform Equivalent Circuit Element

• Analysis of Electrical Networks with Initial Conditions

• Transfer Function Components of System Response

Chapter 8:

• Analog to Digital Conversion (Sampling)  (Lecture37.pdf)

• Signal Reconstruction and Quantization Noise (Lecture38.pdf)

• Z-transform (Lecture39.pdf)

• Z-Transform and Applications to Discrete-Time Systems (Lecture40.pdf)

• Short Table of Z-Transforms (jpg)

8.2. Analog-to-Digital Conversion Sampling ( x ) Impulse Train Sampling Model ( x ) Data Reconstruction ( x ) Ideal Reconstruction Filter ( x ) Linear Interpolation ( ) Reconstruction with a simple RC filter ( ) Quantization and Encoding (General ideal )

8.3 The Z-Transform Definition of the z-Transform ( x ) Linearity ( x ) Initial Value and Final Value Theorems ( x ) Inverse z-Transform ( x ) Delay Operator ( x )

8.4 Difference Equations and DT Systems Properties of Systems ( x ) Shift-Invariant Systems ( x ) Cause and Non-causal Systems ( x ) Linear Systems ( x ) Stable Systems ( ) Difference Equations ( x ) Steady-State Freq. Resp. of LDT Sys. ( ) Frequency Resp. at f = 0 and f = 0.5 fs ( )

Q6

Exam I

Exam II

Final

043Sol