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### Lecture01

1. 1. Introduction to Linear SystemsM. J. Roberts - All Rights Reserved.Adapted by C.-T. Truong
2. 2. 12/11/20 2What is “Linear Systems” Something mathematic??? Integral, differential, transforms, series A lot of problems to solve => Student’s point-of-view! It is a practical tool to deal with Signals and Systems E.g., analyze signals and systems Computer-aided=> Engineer’s point-of-view!!!=> Before going into its mathematic details, today we study it“visually” ^^
3. 3. 12/11/20 3Signals and Systems A signal is any physical phenomenon whichconveys information Systems respond to signals and produce newsignals Excitation signals are applied at systeminputs and response signals are produced atsystem outputs
4. 4. 12/11/20 4A Communication System as aSystem Example A communication system has an informationsignal plus noise signals This is an example of a system that consistsof an interconnection of smaller systems
5. 5. 12/11/20 5Signal Types
6. 6. 12/11/20 6Conversions Between Signal TypesSamplingQuantizingEncoding
7. 7. 12/11/20 7Analog vs DigitalAnalogDigitalTimeContinuous DiscreteSignalValueDiscreteContinuous
8. 8. 12/11/20 8Message Encoded in ASCII
9. 9. 12/11/20 9Noisy Message Encoded in ASCIIProgressivelynoisiersignals
10. 10. 12/11/20 10Bit Recovery Using Filtering
11. 11. 12/11/20 11Image Filtering to Aid PerceptionOriginal X-Ray Image Filtered X-Ray ImageImageProcessingSystem
12. 12. 12/11/20 12Sound Recording System
13. 13. 12/11/20 13Recorded Sound as a Signal Example “s” “i” “gn” “al”
14. 14. 12/11/20 14“Transforms” What? To convert a signal into another (math) domain Time domain into frequency domain Why? Though it looks complex, it makes things much easier E.g., convolution => multiplication Which? Different transforms have different features Selection of a transform depends on certain application Our focus will be on Fourier transform
15. 15. 12/11/20 15Future Topics Signals and Systems in mathematic forms Linear Time-Invariant System Fourier series / Fourier transform Analysis of Signals and Systems using Fouriertransform Other transforms / representations Z-transform, Laplace transform, State space Applications
16. 16. Our Research related to Linear Syst. Computer Communications Lab Applications over IP networks IPTV (e.g. Hikari-TV) Internet Streaming (e.g. Youtube, AppleTV) E-Health Networking Signal Processing Image/Video processing Multimedia Standards ISO/IEC MPEG, ITU-T IPTV12/11/20 16
17. 17. 12/11/20 17 17Advanced IPTV (unicast & simulcast)
18. 18. Adaptive Streaming over Internet12/11/20 18
19. 19. e-Health System12/11/20 19
20. 20. 20Related StandardsContent analysis& annotation NetworksDecisionengineContent AdaptationmethodsContext-awarenessMPEG-7MPEG-21MPEG-21Content-awarenessIETF protocols(RTP, HTTP)MPEG-2 TSMPEG DASHMPEG-1MPEG-2MPEG-4JPEGITU-TMPEG-21ITU-TOITFDVBNot standardizedNot standardizedNot standardized