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The Study of Modulation Schemes 変調方式に関する研究

The Study of Modulation Schemes 変調方式に関する研究. Elliptical Modulated Signal. Current Schemes. Sine Wave Signal. Circle. Proposed Schemes. Elliptical Modulated Signal. Ellipse. Flexibility of Elliptical Modulation. Traditional Modulation Schemes ASK, FSK, PSK AM, FM, PM

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The Study of Modulation Schemes 変調方式に関する研究

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  1. The Study of Modulation Schemes変調方式に関する研究

  2. Elliptical Modulated Signal Current Schemes Sine Wave Signal Circle Proposed Schemes Elliptical Modulated Signal Ellipse

  3. Flexibility of Elliptical Modulation • Traditional Modulation Schemes • ASK, FSK, PSK • AM, FM, PM • Transformation of Carrier Signal in Amplitude, Phase and Frequency Proposed Modulation Schemes Amplitude, Phase , Frequency and Eccentricity, Inclination Angle, Rotation Frequency, Rotation Direction

  4. Concept & Theory P R 2 α R 1 r  o a F -F -b Semi-major axis (a)  = Revolution Angleα= Offset Inclination Angle ωr = the revolution frequency of the carrier = eccentricity

  5. Concept & Theory P R 2 α R 1 r  o a F -F -b Semi-major axis (a)  = Revolution Angleα= Offset Inclination Angle ωr is the revolution frequency of the carrier ωi is the rotation frequency of the carrier

  6. Elliptical Modulation Schemes Basic Schemes • Eccentricity Shift Keying (ESK) • Inclination Angle Shift Keying (IASK) • Rotation Frequency Shift Keying (RFSK)

  7. Inclination Angle Shift Keying (IASK) Binary 0 Binary 1

  8. Inclination Angle Shift Keying Signal( ,ec = 0.3, 0.6, 0.9)

  9. Rotation Frequency Shift Keying (RFSK) where wi is modulation variable Binary 0 Binary 1

  10. i=0 Q Q 00 00 10 01 i=1 I I i=2 11 01 11 10 i=3 4-EPSK(a) 4-EPSK(b) 4-ary EPSK(Elliptical Phase Shift Keying) Offset inclination angle + phase where iand j can have N and K discrete values respectively. M= N×K 4-ary Elliptical Phase Shift Keying (N=2&K=2, BPSK+IASK) (i,j) = (π/4, π/4) (3π/4, 3π/4) (π/4, 5π/4) (3π/4, 7π/4) where integer i =0,1,2,3

  11. Correlation Coefficient where integer i =0,1,2,3, and corresponding signals are defined as S1, S2, S3, S4.

  12. Q 01 Q 00 01 00 I I 10 11 10 d 11 d d d A Mathematical Analysis of BER BER comparison

  13. a is directly proportional to eccentricity V0 is directly proportional to a Pe is inversly proportional to V0 Modulation and Demodulation Carrier recovery circuit LPF block Advantage can be strenthened by increasing eccentricity

  14. Simulation Results on BER Performance In Rayleigh fading channel Under AWGN • 4−EPSK outperforms QPSK • error performance is directly proportional to the value of eccentricity • Both results are consistent with conclusions achieved from mathematical • analysis and demodulation illustration.

  15. Q 00 01 ＋ I 11 10 4-EPSK = BPSK + IASK, 8-EPSK = QPSK + IASK; In 4-EPSK, two phases are corresponding to each inclination angle, all phases lie in different quadrants; while in 8-EPSK, four phases in each ellipse are use to represent transmitted information, and each pair of signals lies in the same quadrant has the same phase; 4-EPSK is capable of 2-bit information transmission; while 8-EPSK possesses the capability of 3-bit information transmission. Q Q I I 000 101 001 100 011 110 010 111 Proposal of 8-ary EPSK 8-ary Elliptical Phase Shift Keying ( N=2&K=4) where i =0,1,2,3; j=0,1

  16. (between ellipses) (within ellipse) Where k is value of optimum ec 011 001 111 A 000 101 θ d 100 010 000 110 001 010 011 d r1 r2 Mathematical Analysis of BER Euclidean distance comparison BER comparison

  17. Reference signals1 Reference signals2 Q Q I I 000 101 001 100 ＋ 010 111 011 110 Receiver of 8-EPSK signals

  18. Effect of Eccentricity to Performance of 8-EPSK Under AWGN

  19. Performance Comparison between 8PSK & 8-EPSK at eccentricity of larger than 0.5 Rayleigh fading channel

  20. New Concept of Waveform inclination angle frequency eccentricity

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