Simulink Tutorial on Digital Modulation Methods - Cengage Learning
Simulink Tutorial on Digital Modulation Methods - Cengage Learning Simulink Tutorial on Digital Modulation Methods - Cengage Learning
596 CHAPTER 13. SIMULINK TUTORIAL ON DIGITAL MODULATION SOLUTION 1. The envelope is constant. Figure 13.27: Source signal a(t). Figure 13.28: Transmitted signal u(t). Figure 13.29: Signal x(t) at matched filter input 2. The received signal is corrupted by additive noise (AWGN channel). 3. After demodulation the signal x(t) contains also a component at 2f c: x(t) = s(t)cos(2πfct) · 2cos(2πfct) = s(t)(1 + cos(4πfct)) plus noise Now, look at the eye patterns and signal-space plots (see Figures 13.30 to 13.34). The green trajectory describes the baseband signal after pulse shaping in the signalspace (see Figure 13.30). The blue signal-space points in the scatter plot (see Figure 13.31) are obtained by sampling the green trajectory at the symbol rate at the optimum sampling time, i.e., at maximum vertical eye opening. In the case of zero ISI we obtain exactly the signal-space constellation points. The trajectory describes the transitions between the constellation points. First, look at the transmitter plots. © 2013 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
13.5. BINARY PHASE-SHIFT KEYING (BPSK) 597 Figure 13.30: Transmitter trajectory for BPSK with NRZ rectangular pulses Figure 13.32: Eye pattern at transmitter for BPSK with NRZ rectangular pulses TUTORIAL PROBLEM Figure 13.31: Transmitter scatter plot (signal-space constellation) for BPSK with NRZ rectangular pulses Figure 13.33: Eye pattern at receiver for BPSK with NRZ rectangular pulses and matched filter Problem 13.8 [BPSK with NRZ Rectangular Pulses and Matched Filter: Transmitter Trajectory, Scatter Plot, and Eye Pattern] 1. Is the zero ISI condition met at the transmitter? How can this be observed in the eye pattern and the scatter plot? 2. Is the horizontal eye opening maximum? © 2013 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
- Page 1 and 2: Chapter 13 Simulink</strong
- Page 3 and 4: 13.2. SHORT INTRODUCTION TO SIMULIN
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- Page 9 and 10: 13.4. PULSE SHAPING 581 Figure 13.1
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- Page 13 and 14: 13.4. PULSE SHAPING 585 Summation o
- Page 15 and 16: 13.4. PULSE SHAPING 587 For α = 0.
- Page 17 and 18: 13.4. PULSE SHAPING 589 Figure 13.1
- Page 19 and 20: 13.4. PULSE SHAPING 591 Figure 13.1
- Page 21 and 22: 13.5. BINARY PHASE-SHIFT KEYING (BP
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- Page 43 and 44: 13.7. OFFSET-QPSK 615 Figure 13.83:
- Page 45 and 46: 13.7. OFFSET-QPSK 617 3. How do the
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596 CHAPTER 13. SIMULINK TUTORIAL ON DIGITAL MODULATION<br />
SOLUTION<br />
1. The envelope is c<strong>on</strong>stant.<br />
Figure 13.27: Source signal a(t).<br />
Figure 13.28: Transmitted signal u(t).<br />
Figure 13.29: Signal x(t) at matched filter input<br />
2. The received signal is corrupted by additive noise (AWGN channel).<br />
3. After demodulati<strong>on</strong> the signal x(t) c<strong>on</strong>tains also a comp<strong>on</strong>ent at 2f c:<br />
x(t) = s(t)cos(2πfct) · 2cos(2πfct)<br />
= s(t)(1 + cos(4πfct)) plus noise<br />
Now, look at the eye patterns and signal-space plots (see Figures 13.30 to 13.34).<br />
The green trajectory describes the baseband signal after pulse shaping in the signalspace<br />
(see Figure 13.30). The blue signal-space points in the scatter plot (see Figure<br />
13.31) are obtained by sampling the green trajectory at the symbol rate at the optimum<br />
sampling time, i.e., at maximum vertical eye opening. In the case of zero ISI we obtain<br />
exactly the signal-space c<strong>on</strong>stellati<strong>on</strong> points. The trajectory describes the transiti<strong>on</strong>s<br />
between the c<strong>on</strong>stellati<strong>on</strong> points.<br />
First, look at the transmitter plots.<br />
© 2013 <strong>Cengage</strong> <strong>Learning</strong>. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.