Secure Chaotic Spread Spectrum Systems
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1 Seue Chaoi Sea Seum Sysems Ji Yu WSEAB ECE Deame Seves siue of Tehology Hoboke J 73
2 Oulie ouio Chaoi SS sigals Seuiy/ efomae ee eeives Biay oelaig eeio Mismah oblem aile-fileig base aoah Dual-aea aoah umeial esuls Colusios
3 ouio /D-Seue/ove ommuiaios Sea-seum sysems Die sequees biay sequees Chaoi sequees Fequey hoig Time hoig UWB eeos likelihoo-aio es Eegy eeo
4 Chaoi Sigals Geeae haoi seaig sequees Disee Chaoi Ma Exoeial Ma Tiagula Ma. Fo Examle: logisi ma x α x x x α 4 Biola sigalig a x DF of {a } f a a π a
5 oeies of Chaoi Sequees.8 Chaoi sequee logisi ma: α 4 x..5 f of a x.6.4 fa a o-biay a o-eioi Raom-like behavios Goo auo- a oss-oelaio age umbe of available seaig sequees fo mulile-aess aliaios
6 Sysem Moel Reeive Sigals a os ω H φ T H whee a a T τt The hi eoh τt is moele by.v. τ uifomly isibue i [.
7 Biay Coelaig Meho ikelihoo aio es Oimum ee Reeives Syhoous ohee Syhoous oohee Asyhoous ohee Asyhoous ohee Gaussia aoximaio Λ κ E ε φ ex q T ε φ bq os ω T
8 Syhoous Cohee Case Usig Gaussia aoximaio we obai Aea ow oise Amlifie T - Mahe File EX os φ ω / a Biay Syhoous Cohee Deeo 4 D C C FA D.5.5 λ λ k D C T k C T m δ σ δ ] [ ] [ ] [ a E a Va D a E a E C
9 Syhoous oohee Case Aea os ω Mahe File / ow oise Amlifie - si ω T EX COMB FTER The mea a vaiae of λ is m λ σ λ T C δ k T C.5D δ k D FA C C.5D
10 Asyhoous Cases Assume hi eoh is U[ T Cohee ase oohee ase 4 4 / τ τ τ τ τ τ λ C C FA C C D FA D / τ τ τ τ τ τ λ C C FA C C D FA D
11 efomae Comaiso Chaoi vs. Biay Sy Egegy Cohee-biay oohee-biay Cohee-haoi oohee-haoi FA. a eeio SRhi
12 aile-fileig Base Deeo Ueaiies i Chaoi Sigals Amliue ueaiy mismah oblems Fo all eeio seaios wih haoi sigals hase ueaiy oohee eeios Delay ueaiy Asyhoous eeios
13 aile-fileig Base Deeo Desig aile ses aoximae he ukow aom vaiables sele he mos likely aile saisially omba he ima ue o ueaiies Reue omuaioal omlexiy Uae ailes fo eah ieaio Fixe ailes fo eah ieaio
14 aile-fileig Base Deeo RT fuio wih aile fileig oie: obabiliy esiy fuios is use o sele he ailes a i j a φ i whih ae mosly lose o he aual amliue a hase. Cohee eeio oohee eeio Λ Λ a i j i i j a H H a Λ Λ a i j i i i i j a H H a φ
15 Aea ow oise Amlifie os ω φ TAZATO: ailes a j j j T jt C C aile-fileig Base Deeo Syhoous ohee eeives wih FA. a 5 a CACUATE: j a j H j H j H j H RESAMG a j j j Deeio obabiliy - Biay seq.: Biay Deeio ogisi seq.: Biay Deeio [6] Tiagula seq.: Biay Deeio [6] ogisi seq.: aile File Tiagula seq.: aile File YES j <? O - / DECSO SR hi
16 Asyhoous Deeio: Mulile samlig Obai mulile obsevaios by mulile samlig a τ omba elay ueaiy M O M M R M O M M R M O M M M O M M
17 aallel Deeio Algoihm RT fuio oie: The ow havig he miimum elay is auomaially selee by obabiliy esiy fuios o ee he esee of aio sigals. Λ H H max K Λ H H max K
18 umeial Resuls Asyhoous eeos wih vaious FA. a aallel eeio algoihm. Deeio obabiliy - ASY-CO: F a ASY-CO: F a ASY-CO: F a ASY-CO: F a ASY-C: F a ASY-C: F a ASY-C: Chao. Seq - Bi. Deeio SR hi
19 Dual-Aea Aoah: Syhoous ohee ase Sigal Moel Aea Deisio ow oise Amlifie ie Wave os φ ω os ψ φ ω θ T T / os / os λ θ π ψ θ FA D a a ψ φ ω φ ω 4 os os Deeio obabiliy
20 Dual-Aea Aoah: Syhoous oohee ase Aea Deisio ow oise Amlifie ie Wave os ω si ω θ T T T T Ω FA D θ θ
21 Dual-Aea Aoah: Asyhoous ase ie Wave θ Aea ow oise Amlifie T Deisio θ θ FA Ω D Ω θ osπ osθ / λ
22 umeial Resuls efomae of haoi DS SS sigals wih a FA. fo syhoous ohee eeos.
23 umeial Resuls efomae of haoi DS SS sigals wih vaious a hi SR -5 B. MC: Muual oulig.
24 Colusios The mismah bewee haoi sequees a biay eeio esuls i he efomae imoveme; aile-fileig base aoah a be use o omba he ueaiies a he imove he eeio efomae; Dual aea aoah a also suess he ueaiies; howeve i is subje o muual oulig.
25 Thak You! Ay uesios?
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