Anchor | ||||
---|---|---|---|---|
|
...
(Eq. 100)
Figure 370: Illustration of intermodulation product Eif of third order at the frequency f0 Anchor F370 F370
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.
Figure 371: Illustration of intermodulation product from ETSI 300-113 Anchor F371 F371
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.
Figure 372: EPP Demo 9 – intermodulation internals Anchor F372 F372
[1] the order is given by the sum of the absolute values of the coefficients, here 2 + |1| = 3