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Medium Access Control (MAC) and Physical Layer (PHY) - CISE

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4-June-07 P1901_PRO_016_r0<br />

N W<br />

NCP<br />

Equation 23<br />

Submission page 60 UPA-OPERA<br />

N SYM<br />

N IFFT<br />

Figure 17 Windowing<br />

The maximum duration of the window (Nw) depends on the symbol Type used:<br />

• Type I: 128 samples<br />

• Type II: 128 samples<br />

• Type III: 64 samples<br />

The OFDM symbol can be expressed in mathematical form as inEquation 24.<br />

s<br />

768<br />

2046<br />

⎧<br />

⎛ j2πk<br />

⎞<br />

⎛ j2πk<br />

( n)<br />

= k SYM wSYM<br />

( n)<br />

⎨∑<br />

c(<br />

k,<br />

i)<br />

exp⎜<br />

( n − N CP − N W ) ⎟ + ∑ c(<br />

k − 510,<br />

i)<br />

exp⎜<br />

( n − N<br />

⎩ k = 1 ⎝ 2048<br />

⎠ k = 1279<br />

⎝ 2048<br />

Equation 24<br />

i<br />

Where<br />

− i is the i-th OFDM symbol; i = 0, 1, …<br />

− n is the sample index; 0 ≤ n < NSYM+NW<br />

− kSYM is a normalization factor, that shall be chosen in order to meet the PSD <strong>and</strong> modulation accuracy<br />

requirements.<br />

− wSYM(n) is a windowing function<br />

− c(k,i) is the k+iNSD complex value from the subcarrier modulation block<br />

CP<br />

− N<br />

W<br />

⎞⎫<br />

) ⎟⎬<br />

⎠⎭

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