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A5.3
A5.3
ETSI defines the intermodulation response rejection as a measure of the capability of the receiver to receive a wanted modulated signal, without exceeding a given degradation due to the presence of two or more unwanted signals with a specific frequency relationship to the wanted signal frequency ‎[16].

...

                                   (Eq. 100)

 

 

 

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F370
F370
Figure 370: Illustration of intermodulation product Eif of third order at the frequency f0

 

The signal strength Eif of the intermodulation product is given by

                                                                          (Eq. 101)

 

with some constant k to be determined. For signal levels (measured in dB), Eif becomes  and the equation above reads

 

                                             (Eq. 102)

 

From the measurement procedure which is described e.g. in the ETSI standard ETSI 300-113, clause 8.8, we can derive the calculation algorithm. The method is similar to the contribution for blocking interference. ETSI 300-113 defines via the intermodulation response Limr the interfering signal levels iRSSi1 = iRSSi2 at which bit errors due to intermodulation just start to be recorded.

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F371
F371
Figure 371: Illustration of intermodulation product from ETSI 300-113

 

This means, for iRSSi1 and iRSSi2, we have an intermodulation product  relative to the noise floor (0 dB), due to the noise augmentation (N+I)/N of 3 dB corresponds to an I/N of 0 dB. Transferring Figure 371 into a formula gives the relation

                                                          (Eq. 103)

from which we can derive the calculation algorithm for this example

                               (Eq. 104)

 

where for interferer i-th, at frequency x:

                  (Eq. 105)

where

  • P^output_ILT      : power supplied to the ILT antenna (before power control);
  • g^PC_ILT          : power control gain for the ILT with the power control function,
    see ‎ANNEX 14:;
  • PL_ILT->VLR  : path loss between the interfering link transmitter i and the victim link receiver;
  • G_ILT->VLR    : ILT antenna gain in the direction of the VLR;
  • G_VLR->ILT    : VLR antenna gain in the direction of the ILT;
  • MCL         : Minimum coupling loss given by the system parameter definition.

 

For any other consistent combination of (N+I)/N and I/N this becomes

        (Eq. 106)

 

For the computation of the intermodulation products in the victim link receiver two different interfering systems (i-th and j-th) are required and the total intermodulation product is

 

                   (Eq. 107)

where:

  • iRSS^(i,j)_intermod: intermodulation product at the frequency f0;
  •  L_inter           : the attenuation given by the input parameter 'Intermodulation rejection'. This attenuation applies inside the bandwidth of the VLR. It is therefore advisable to set a constant value as intermodulation rejection;
  • L_sens            : the sensitivity of the VLR given by the system parameter definition;
  •    (N+I)/N           : Noise augmentation given by the system parameter definition;
  •    I/N              : interference to noise ratio given by the system parameter definition.

 

In case the intermodulation product does not fit the frequency condition  , a value of -1000 dBm is returned in SEAMCAT.

The EPP Demo9 (Figure 372) allows you to see the behaviour of this equation.

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F372
F372
Figure 372: EPP Demo 9 – intermodulation internals

 

 



[1] the order is given by the sum of the absolute values of the coefficients, here 2 + |1| = 3