ee20

Contents

1Week 1
- 1.2Systems
- 1.3Kronecker Delta
- 1.1Signals
  - 1.1.1Continous-Time Signals
  - 1.1.2Discrete-Time Signals
  - 1.1.3Analog Signals
  - 1.1.4Digital Signals
2Week 2
- 2.3Signals to Decompose Signals
- 2.1Complex Numbers
  - 2.1.1Cartesian Representation
  - 2.1.2Polar Representation
  - 2.1.3Complex Conjugate
  - 2.1.4Choosing a Representation
  - 2.1.5Useful Information
  - 2.1.6Polar Representation Ambiquity
  - 2.1.7The Imaginary Unit
  - 2.1.8Derivatives of Complex Exponentials
  - 2.1.9Converting Betweeen Representations
- 2.2The Complex Exponential
  - 2.2.1Exponentials as Vectors
  - 2.2.2Eulers Formula
  - 2.2.3Radial Frequency
  - 2.2.4Derivatives
3Week 3
- 3.1Properties of Systems
  - 3.1.1Linearity
  - 3.1.2ZIZO
  - 3.1.3Time Invariance
4Week 4
- 4.1Linear Time-Invariant Systems
- 4.2Convolution
- 4.3Frequency Response
- 4.4Additional Problems
- 4.5Filters
5Week 5
- 5.1LPFs and HPFs
6Week 6
- 6.1Discussion
  - 6.1.1Comb Filter
  - 6.1.2Notch Filter
7Week 7
- 7.2Frequency response of CT-LTI Systems
- 7.3Discussion
- 7.1Interconnections of LTI Systems
  - 7.1.1Parallel
  - 7.1.2Cascade (series)
  - 7.1.3Feedback
8Week 8
- 8.1Feedback Systems
- 8.2Inverse Systems
- 8.3Causality
- 8.4Discussion
- 8.5Review
9Week 9
10Week 10
- 10.1Fourier Analysis
  - 10.1.1Basics and Overview
  - 10.1.2Signals as Vectors
  - 10.1.3Harmonic Relations and Frequency Content
  - 10.1.4Periodicity
  - 10.1.5Discrete Fourier Series
11Week 11
- 11.1Spectral Coefficients
- 11.2Discussion
12Week 12
- 12.1Continuous-Time Fourier Series
- 12.2Discrete-Time Fourier Transform
13Week 13
- 13.1Properties of the DTFT
  - 13.1.1Translation - Time-Shifting
  - 13.1.2Frequency-Shifting
  - 13.1.3Time-Reversal
  - 13.1.4Conjugation
  - 13.1.5Complex Exponential
  - 13.1.6Convolution
- 13.2DT-LTI Systems
  - 13.2.1Causal LCCDEs
  - 13.2.2Delay-Adder-Gain Block Diagrams
  - 13.2.3Rational DTFTs
  - 13.2.4Differentiation in Frequency Domain
- 13.3Discussion
  - 13.3.1Conjugate Symmetry
  - 13.3.2Signals of Even Functions
  - 13.3.3Signals of Odd Functions
  - 13.3.4Additional Problems
14Week 14
- 14.1CTFT
  - 14.1.1Continous-Time Fourier Transform
- 14.2Amplitude Modulation
  - 14.2.1Modulation Property of CTFT
  - 14.2.2Complex Exponential Carrier
  - 14.2.3Sinusoidal Carriers
- 14.3Discussion
  - 14.3.1CTFT Time-Shifting
  - 14.3.2CTFT Duality
  - 14.3.3CTFT Frequency Shifting