訊號與系統

Signals and Systems is an introductory course for further studies in optical communication systems, radio frequency communication systems, signal processing and electronic and information engineering. This course covers the fundamental tools used in continuous-time and discrete-time signal and system analysis.

Differentiation and Integration

無備註

Course will be based on powerpoint presentation

作業部份:3-4 homeworks 考試部份:Mid-term exam and final exam 評量部份:Evaluated by homeworks, mid-term and final exam

• Introduction

  講授：

  3

• Linear Time-Invariant Systems

  1.Continuous-Time & Discrete-Time Signals 2.Transformations of the Independent Variable 3.Exponential & Sinusoidal Signals 4.The Unit Impulse & Unit Step Functions 5.Continuous-Time & Discrete-Time Systems 6.Basic System Properties 7.Convolution

  講授：

  4

• Fourier Series Representation of Periodic Signals

  1.The Response of LTI Systems to Complex Exponentials 2.Fourier Series Representation of Continuous- Time Periodic Signals 3.Convergence of the Fourier Series 4.Properties of Continuous-Time Fourier Series 5.Fourier Series Representation of Discrete-Time Periodic Signals 6.Properties of Discrete-Time Fourier Series 7.Fourier Series & LTI Systems 8.Filtering & Examples of CT & DT Filters

  講授：

  18

• The Continuous-Time Fourier Transform

  1.Representation of Aperiodic Signals: the Continuous-Time Fourier Transform 2.The Fourier Transform for Periodic Signals 3.Properties of the Continuous-Time Fourier Transform 4.The Convolution Property 5.The Multiplication Property Systems Characterized by Linear Constant- 6.Coefficient Differential Equations

  講授：

  4

• The Discrete-Time Fourier Transform

  1.Representation of Aperiodic Signals: the Discrete-Time Fourier Transform 2.The Fourier Transform for Periodic Signals 3.Properties of Discrete-Time Fourier Transform 4.The Convolution Property 5.The Multiplication Property 6.Duality 7.Systems Characterized by Linear Constant- Coefficient Difference Equations

  講授：

  6

• Time & Frequency Characterization of Signals and Systems

  1.The Magnitude-Phase Representation of the Fourier Transform 2.The Magnitude-Phase Representation of Frequency Response of LTI Systems 3.Time-Domain Properties of Ideal Frequency-Selective Filters 4.Time-Domain and Frequency-Domain Aspects of Non-ideal Filters

  講授：

  6

• Sampling

  1.Representation of of a Continuous-Time Signal by Its Samples: The Sampling Theorem 2.Reconstruction of of a Signal from Its Samples Using Interpolation 3.Discrete-Time Processing of Continuous-Time Signals 4.Sampling of Discrete-Time Signals

  講授：

  3

• Communication Systems

  1.Complex Exponential & Sinusoidal Amplitude Modulation & Demodulation 2.Frequency-Division Multiplexing 3.Single-Sideband Sinusoidal Amplitude Modulation 4.Amplitude Modulation with a Pulse-Train Carrier 5.Pulse-Amplitude Modulation 6.Sinusoidal Frequency Modulation

  講授：

  6

• The Laplace Transform

  1.The Laplace Transform 2.The Region of Convergence for Laplace Transforms 3.The Inverse Laplace Transform 4.Geometric Evaluation of the Fourier Transform 5.Properties of the Laplace Transform 6.Some Laplace Transform Pairs 7.Analysis & Characterization of LTI Systems Using the Laplace Transform 8.System Function Algebra and Block Diagram Representations

  講授：

  6

• The z-Transform

  1.The z-Transform 2.The Region of Convergence for z-Transforms 3.The Inverse z-Transform 4.Geometric Evaluation of the Fourier Transform 5.Properties of the z-Transform 6.Some Common z-Transform Pairs 7.Analysis & Characterization of LTI Systems Using the z-Transforms 8.System Function Algebra and Block Diagram Representations

  講授：

  3

Text: Signals and Systems, 2003, 2nd Ed. Simon Haykin and Barry Van Vee, Wiley Ref: Signals and Systems, 1997, 2nd Ed. by Oppenheim and Willsky, Prentice Hall

地點

Tin Ka Ping Building, Rm. 216A

時間

Thursday H-Y or Anytime by appointment

聯絡方式

By email: cwchow@faculty.nctu.edu.tw By phone: 03-5712121 ext 56334