Simulink Tutorial on Digital Modulation Methods - Cengage Learning
Simulink Tutorial on Digital Modulation Methods - Cengage Learning Simulink Tutorial on Digital Modulation Methods - Cengage Learning
630 CHAPTER 13. SIMULINK TUTORIAL ON DIGITAL MODULATION Figure 13.126: Receiver trajectory for 16-QAM with raised-cosine pulses (α = 0.5) Figure 13.128: Eye pattern in in-phase component at the receiver for 16-QAM with raised-cosine pulses (α = 0.5) Figure 13.127: Receiver scatter plot for 16-QAM with raised-cosine pulses(α = 0.5) Figure 13.129: Eye pattern in in-phase component at the transmitter for 16- QAM with raised-cosine pulses (α = 1) Set the rolloff factor of transmit and receive filter to α = 0.1 and later to α = 1 using the scrollbar, which is opened by a double-click on the blue box Roll-off factor. TUTORIAL PROBLEM Problem 13.25 [16-QAM with Raised-Cosine Pulses (α �= 0.5)] 1. Do more or less errors occur than for α = 0.5 if no noise is present? © 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.
13.9. 16-ARY QUADRATURE AMPLITUDE-SHIFT KEYING (16-QAM) 631 2. Why do we observe nodes at t = 0.5T and t = 1.5T in the eye patterns at the transmitter for α = 1? To solve this problem you can go back to Pulse Shape in the main menu. SOLUTION 1. For α = 0, raised-cosine and square-root raised-cosine pulses are identical and there is zero ISI at the receiver. Therefore, for small rolloff factors α → 0, the BER due to ISI decreases compared to α = 0.5. For large rolloff factors, the impulse response decreases quite fast. However, the ISI to the next neighbor is relatively strong. This can be observed from the convolution of two raised-cosine pulses as displayed from the menu Pulse Shape > Convolution and depicted in Figure 13.22. Therefore, for large rolloff factors α → 1, the BER is higher than for α = 0.5. 2. For raised-cosine-pulses with α = 1, we have: gT ⎧ � � ⎪⎨ kT = 2 ⎪⎩ 1, k = 0 1 2 , k =±1 0, otherwise Therefore, we observe nodes in the eye pattern at 2k+1 2 T. © 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.
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630 CHAPTER 13. SIMULINK TUTORIAL ON DIGITAL MODULATION<br />
Figure 13.126: Receiver trajectory for<br />
16-QAM with raised-cosine pulses (α =<br />
0.5)<br />
Figure 13.128: Eye pattern in in-phase<br />
comp<strong>on</strong>ent at the receiver for 16-QAM<br />
with raised-cosine pulses (α = 0.5)<br />
Figure 13.127: Receiver scatter plot for<br />
16-QAM with raised-cosine pulses(α =<br />
0.5)<br />
Figure 13.129: Eye pattern in in-phase<br />
comp<strong>on</strong>ent at the transmitter for 16-<br />
QAM with raised-cosine pulses (α = 1)<br />
Set the rolloff factor of transmit and receive filter to α = 0.1 and later to α = 1<br />
using the scrollbar, which is opened by a double-click <strong>on</strong> the blue box Roll-off factor.<br />
TUTORIAL PROBLEM<br />
Problem 13.25 [16-QAM with Raised-Cosine Pulses (α �= 0.5)]<br />
1. Do more or less errors occur than for α = 0.5 if no noise is present?<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.