R&S FSL  WiMAX, WiBro Measurements (Options K92/K93) 
1300.2519.12 2.153  E-11 
CINR 
See [6] section "8.3.9.3 CINR mean and standard deviation''. The result summary provides the Carrier 
Interference Noise Ratio [CINR] statistics according to the standard. One possible method to estimate 
the CINR of a single message is to compute the ratio of the sum of signal power and the sum of 
residual error for each data sample, using equation [6] (92). 
%
%
=
=
=
1
0
2
1
0
2
],[],[
],[
][
N
n
N
n
nksnkr
nks
kCINR
 
with 
r[k,n]  received/measured sample n within message k 
s[k,n]  corresponding detected/reference sample (with channel state weighting)  
  corresponding to received symbol n 
 
The CINR statistics of the result summary is calculated as follows: 
1. CINR row: 
Statistic {min, mean, max} of the CINR[k].  
The mean value is 
d
BCINR
µ
ˆ
[k] according to [6] formula (94). 
2.  CINR Standard Deviation row 
dBCINR
/
ˆ
according to [6] formula (96). 
Literature 
[1]  Speth, Classen, Meyr: ''Frame synchronisation of OFDM systems in frequency selective fading channels", VTC '97, 
pp. 1807–1811 
[2]  Schmidl, Cox: ''Robust Frequency and Timing Synchronization of OFDM", IEEE Trans. on Comm., Dez. 1997, pp. 1613–
621 
[3]  Minn, Zeng, Bhargava: ''On Timing Offset Estimation for OFDM", IEEE Communication Letters, July 2000, pp. 242–244 
[4]  Speth, Fechtel, Fock, Meyr: ''Optimum Receiver Design for Wireless Broad–Band Systems Using OFDM – Part I", IEEE 
Trans. On Comm. VOL. 47, NO 11, Nov. 1999 
[5]  Speth, Fechtel, Fock, Meyr: ''Optimum Receiver Design for Wireless Broad–Band Systems Using OFDM – Part II", IEEE 
Trans. On Comm. VOL. 49, NO 4, April. 2001 
[6]  IEEE 802.16–2004, Part 16: Air Interface for Fixed Broadband Wireless Access Systems; 1 October 2004; Medium 
Access Control (MAC) and Physical Layer (PHY) specifications 
Signal Processing of the IEEE802.16–2005 OFDMA/WiBro 
Measurement Application 
Symbol Description 
klkl
aa
,,
ˆ
, data symbol (actual, decided) 
res
f residual carrier frequency offset 
coarse
ˆ
, ff 
carrier frequency offset between transmitter and receiver (actual, coarse estimate) 
relative sampling frequency offset 
l
g gain 
klkl
HH
,,
ˆ
,
channel transfer function (actual, estimate) 
i time index 
finecoarse
ˆ
,
ˆ
ii timing estimate (coarse, fine)