ECE 4331, Fall, 2009

1. ECE 4331, Fall, 2009 Zhu Han Department of Electrical and Computer Engineering Class 19 Oct. 29th, 2009

2. 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. SNR

3. ISI

4. Scatter Plot

5. Eye Diagram

6. BER and PSNR vs. SNR • Error Floor for sampling errors PSNR SNR

7. Image • Original, 5 dB, 2.5 dB, 0 dB, and

9. BER of BPSK Figure 6.3 Signal-space diagram for coherent binary PSK system. The waveforms depicting the transmitted signals s1(t) and s2(t), displayed in the inserts, assume nc 2.

10. Figure 6.3 Signal-space diagram for coherent binary PSK system. The waveforms depicting the transmitted signals s1(t) and s2(t), displayed in the inserts, assume nc 2.

13. Generation and Detection of Coherent BPSK Figure 6.4 Block diagrams for (a) binary PSK transmitter and (b) coherent binary PSK receiver.

15. Figure 6.5 Power spectra of binary PSK and FSK signals.

16. Figure 6.6 Signal-space diagram of coherent QPSK system.

18. EE 541/451 Fall 2007

21. Generation and Detection of Coherent BPSK si1 odd even See Table 6.1 si2 Figure 6.8 Block diagrams of (a) QPSK transmitter and (b) coherent QPSK receiver.

22. , g(t) denotes the symbol shaping function. The baseband QPSK PSD equals the sum of the inphase and quadrature PSD

23. Figure 6.9 Power spectra of QPSK and MSK signals.

24. 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).

25. Offset QPSK ( Reducing Carrier Amplitude Change) Figure 6.10 Possible paths for switching between the message points in (a) QPSK and (b) offset QPSK.

27. p/4 –shifted QPSK Two ordinary QPSK constellations Figure 6.11 Two commonly used signal constellations of QPSK; the arrows indicate the paths along which the QPSK modulator can change its state.

34. Figure 6.14 Illustrating the possibility of phase angles wrapping around the positive real axis.

35. Figure 6.13 Block diagram of the p/4-shifted DQPSK detector.

37. Figure 6.15 (a) Signal-space diagram for octaphase-shift keying (i.e., M 8). The decision boundaries are shown as dashed lines. (b) Signal-space diagram illustrating the application of the union bound for octaphase-shift keying.

38. Figure 6.16 Power spectra of M-ary PSK signals for M  2, 4, 8.