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Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Mojtaba Soltanalian May 2012 1
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Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Dec 23, 2015

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Page 1: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Waveform Design for Active Sensing SystemsChapters 1-2

Uppsala UniversityDepartment of Information TechnologyUppsala UniversityDepartment of Information Technology

Mojtaba SoltanalianMay 2012

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Page 2: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction>Applications

•CDMA Communications

•Active sensing(Radar, Sonar, etc.)

Images are taken from [http://www.pangolinsms.com/tech03-types-of-mobile-phones.htm]- visited 2011-09-18, and[http://tech-software.net/radar]-visited 2011-09-18, respectively.

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Page 3: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction>Applications• Channel estimation

• Synchronization

• Data hiding, ultra-wideband (UWB) communications, synthesis of orthogonal matrices for source coding and complementary coding, . . .

Images are taken from [http://www.microwave-eetimes.com/en/solving-qos-headaches-in-fixed-broadband-wireless.html]- visited 2011-09-18, and[http://www.electronicspecifier.com/Industry-News/Semtech-and-Rakon-to--Develop-IEEE-1588-V2-Timing-Solutions-for-High-Speed-Wireless-Wired-Networks.asp]-visited 2011-09-19, respectively.

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Page 4: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction

•Periodic/Aperiodic Autocorrleation

•Relationship:

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Page 5: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction

•Why computational design?

•Metrics:

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Page 6: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction>Existing waveforms•Chirp signal:

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Page 7: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction>Existing waveforms•Root-of-unity codes:

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Page 8: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction>Existing waveforms•Root-of-unity codes: are rare!•Mow’s Conjecture: the only possible

lengths for root-of-unity codes with M-ary alphabet are M and M .2

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Page 9: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction>Existing waveforms•Barker codes

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Page 10: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Introduction

•Unimodular sequences have optimal (i.e. unity) peak-to-average ratio (PAR):

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Page 11: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Sing. Ape. Seq. Des.

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Page 12: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Sing. Ape. Seq. Des.

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Page 13: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Sing. Ape. Seq. Des.

•Important step:

•Discussion.

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Sing. Ape. Seq. Des.

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Page 15: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Sing. Ape. Seq. Des.

•Cyclic minimization:

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Sing. Ape. Seq. Des.

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Page 17: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Sing. Ape. Seq. Des.

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Page 18: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Sing. Ape. Seq. Des.

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Sing. Ape. Seq. Des.

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Sing. Ape. Seq. Des.

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Page 21: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Numerical Examples

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Page 22: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Numerical Examples

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Page 23: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Numerical Examples

•Quantized CAN:

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Page 24: Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information.

Discussions.

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