Simulink Tutorial on Digital Modulation Methods - Cengage Learning
Simulink Tutorial on Digital Modulation Methods - Cengage Learning Simulink Tutorial on Digital Modulation Methods - Cengage Learning
586 CHAPTER 13. SIMULINK TUTORIAL ON DIGITAL MODULATION Summation: The eye pattern is the superposition of the contributions of all bit sequences: Zero ISI means maximum vertical eye opening, i.e., all lines cross at +1 or −1. In order to reduce the sensitivity to timing error, we also wish a wide horizontal eye opening. © 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.
13.4. PULSE SHAPING 587 For α = 0.5 the horizontal eye opening is less than the maximum possible opening of T. In AWGN channels the optimum receive filter that maximizes the signal-to-noise ratio (SNR) is the matched filter gR(t) = gT (−t) (13.4.4) Consequently, the maximum SNR at the receive filter output is obtained if the Nyquist pulse shaping is split equally between the transmit and receive filter. Therefore, the Fourier transform GT (f ) should have a square-root raised-cosine characteristic (see Illustrative Problem 6.8). The impulse response and the Fourier transform of a square-root raised-cosine pulse are given by gT (t) = ⎧ ⎪⎨ GT (f ) = ⎪⎩ (4αt/T ) cos[π(1 + α)t/T ] + sin[π(1 − α)t/T ] (πt/T )[1 − (4αt/T ) 2 ] √ T, 0 ≤|f |≤ 1−α � � T 2 1 + cos πT � α |f |− 1−α 2T �� , 1−α 2T 0, |f | > 1+α 2T 2T < |f |≤ 1+α 2T (13.4.5) (13.4.6) If a square-root raised-cosine transmit filter gT (t) is used, there is zero ISI after the receive filter but ISI results for the transmitted signal. 13.4.2 Experiments To start the tutorial go to the directory where you saved the tutorial files and type DigMod
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586 CHAPTER 13. SIMULINK TUTORIAL ON DIGITAL MODULATION<br />
Summati<strong>on</strong>:<br />
The eye pattern is the superpositi<strong>on</strong> of the c<strong>on</strong>tributi<strong>on</strong>s of all bit sequences:<br />
Zero ISI means maximum vertical eye opening, i.e., all lines cross at +1 or −1. In order<br />
to reduce the sensitivity to timing error, we also wish a wide horiz<strong>on</strong>tal eye opening.<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.
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