ECE 4331, Fall, 2009ProjectISIScatter PlotEye DiagramBER and PSNR vs. SNRImageSlide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 16Slide 17Slide 18Slide 19Slide 20Slide 21Slide 22Slide 23Slide 24Slide 25Slide 26Slide 27Slide 28Slide 29Slide 30Slide 31Slide 32Slide 33Slide 34Slide 35Slide 36Slide 37Slide 38ECE 4331, Fall, 2009Zhu HanDepartment of Electrical and Computer EngineeringClass 19Oct. 29th, 2009Project Project Due 11/19/09. Design your own modulation and demodulationShow time signal, eye diagram, and constellation for no noise, SNR=0, SNR=5dB and SNR=10dB. (1 point)Calculate BER for SNR=0. SNR=2.5dB and SNR=5dB, compared with theoretic result. Change symb to sufficiently large. (2 point )For QPSK and 16QAM, redo the above step (2 point )Transmit images (3 point)–Test small image first–Alignment for both sampling and data–Calculate PSNR for SNR=0dB, SNR=2.5dB, and SNR=5dB. –Print imagesTiming: sampling at the wrong time. 2 point–1/16, 2/16, … for BER vs. SNR, PSNR vs. SNRISIISI0 2 4 6 8 10 12 14 16-1.5-1-0.500.511.52Scatter PlotScatter Plot-1 -0.5 0 0.5 1-1-0.8-0.6-0.4-0.200.20.40.60.81QuadratureIn-PhaseScatter plot-1.5 -1 -0.5 0 0.5 1 1.5-1.5-1-0.500.511.5QuadratureIn-PhaseScatter plotEye DiagramEye Diagram-0.5 0 0.5-1.5-1-0.500.511.5TimeAmplitudeEye Diagram -0.5 0 0.5-2-1012TimeAmplitudeEye Diagram for In-Phase Signal-0.5 0 0.5-2-1012TimeAmplitudeEye Diagram for Quadrature SignalBER and PSNR vs. SNRBER and PSNR vs. SNRError Floor for sampling errors0 1 2 3 4 510-310-210-1100EbNo (dB)SER and BERPerformance of Baseband QPSK Theoretical SERTheoretical BERSimulated SERSimulated BERSNRPSNRImageImageOriginal, 5 dB, 2.5 dB, 0 dB, andBER of BPSKFigure 6.3 Figure 6.3 Signal-space diagram for coherent binary PSK system. The waveforms Signal-space diagram for coherent binary PSK system. The waveforms depicting the transmitted signals depicting the transmitted signals ss11((tt) and ) and ss22((tt), displayed in the inserts, assume ), displayed in the inserts, assume nncc  2. 2.Figure 6.3 Figure 6.3 Signal-space diagram for coherent binary PSK system. The waveforms depicting the Signal-space diagram for coherent binary PSK system. The waveforms depicting the transmitted signals transmitted signals ss11((tt) and ) and ss22((tt), displayed in the inserts, assume ), displayed in the inserts, assume nncc  2. 2.Generation and Detection of Coherent BPSKFigure 6.4 Figure 6.4 Block diagrams for (Block diagrams for (aa) binary PSK transmitter and () binary PSK transmitter and (bb) coherent binary PSK receiver.) coherent binary PSK receiver.Figure 6.5 Figure 6.5 Power spectra of binary PSK and FSK signals.Power spectra of binary PSK and FSK signals.Figure 6.6 Figure 6.6 Signal-space diagram of coherent QPSK system.Signal-space diagram of coherent QPSK system.EE 541/451 Fall 2007Generation and Detection of Coherent BPSKsi1si2oddevenSee Table 6.1Figure 6.8 Figure 6.8 Block diagrams of (Block diagrams of (aa) ) QPSK transmitter and (QPSK transmitter and (bb) ) coherent QPSK receiver.coherent QPSK receiver., g(t) denotes the symbol shaping function.The baseband QPSK PSD equals the sum of the inphase and quadrature PSDFigure 6.9 Figure 6.9 Power spectra of QPSK and MSK signals.Power spectra of QPSK and MSK signals.Figure 6.7 (a) Input binary sequence. (b) Odd-numbered bits of input sequence and associated binary PSK wave. (c) Even-numbered bits of input sequence and associated binary PSK wave. (d) QPSK waveform defined as s(t)  si1f1(t)  si2f2(t).Figure 6.10 Figure 6.10 Possible paths for switching between the message points in (Possible paths for switching between the message points in (aa) QPSK and () QPSK and (bb) offset QPSK.) offset QPSK.Offset QPSK ( Reducing Carrier Amplitude Change)/4 –shifted QPSK Two ordinary QPSK constellationsFigure 6.11 Figure 6.11 Two commonly used signal constellations of QPSK; the arrows Two commonly used signal constellations of QPSK; the arrows indicate the paths along which the QPSK modulator can change its state.indicate the paths along which the QPSK modulator can change its state.Figure 6.14 Figure 6.14 Illustrating the Illustrating the possibility of phase angles possibility of phase angles wrapping around the wrapping around the positive real axis.positive real axis.Figure 6.13 Figure 6.13 Block diagram of the Block diagram of the /4-shifted DQPSK detector./4-shifted DQPSK detector.Figure 6.15 Figure 6.15 ((aa) Signal-space diagram for ) Signal-space diagram for octaphase-shift keying (i.e., octaphase-shift keying (i.e., MM  8). The 8). The decision boundaries are shown as dashed decision boundaries are shown as dashed lines. (lines. (bb) Signal-space diagram ) Signal-space diagram illustrating the application of the union illustrating the application of the union bound for octaphase-shift keying.bound for octaphase-shift keying.Figure 6.16 Figure 6.16 Power spectra of Power spectra of MM-ary PSK signals -ary PSK signals for M for M  2, 4, 8. 2, 4,