R&S FSL  WiMAX, WiBro Measurements (Options K92/K93) 
1300.2519.12 2.145  E-11 
Signal Processing of the IEEE 802.16–2004 OFDM 
Measurement Application 
Abbreviation Description 
256=
FFT
N FFT length 
kl
a
,
symbol from the alphabet at symbol–index  l of sub carrier  k
k
EVM   error vector magnitude of sub carrier  k
EVM   error vector magnitude of current packet 
signal gain  
f frequency deviation between Tx and Rx 
l symbol index 
]_,1[ Symbolsnofl
symbolsnof _ number of symbols of payload 
k
H channel transfer function of sub carrier  k
k
channel index  ]127,128[=k
mod
K modulation dependent normalization factor 
relative clock error of reference oscillator 
kl
r
,
received symbol at symbol–index  l of sub carrier  k
Pilots = {–88, –63, –38, –13, 13, 38, 63, 88} 
This description gives a rough view of the IEEE 802.16–2004 OFDM measurement application signal 
processing. Details are disregarded in order to get a concept overview. 
A diagram of the interesting blocks is shown in Fig. 2-90. First the RF signal is down–converted to the 
IF frequency 
=
IF
f 20.4 MHz. The resulting IF signal  )(tr
IF
 is shown on the left–hand side of the figure. 
After bandpass filtering, the signal is sampled by an Analog to Digital Converter (ADC) at a sampling 
rate of 
=
1s
f 81.6 MHz. This digital sequence is resampled to the new sampling frequency of 
=
2s
f 80 MHz which is a multiple of the Nyquist rate (20 MHz). The subsequent digital down–converter 
shifts the IF signal to the complex base band. In the next step the base band signal is filtered by a FIR 
filter. To get an idea, the rough transfer function is plotted in the figure. This filter fulfils two tasks: first it 
suppresses the IF image frequency, secondly it attenuates the aliasing frequency bands caused by the 
subsequent down–sampling. After filtering, the sequence is sampled down by the factor of 4. Thus the 
sampling rate of the down–sampled sequence 
)(ir is the Nyquist rate of  =
3s
f 20 MHz. Up to this point 
the digital part is implemented in an ASIC.