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For simplification within the algorithms the mask function p_m_ILT is normalized to 1 Hz reference bandwidth:
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| body | ${{p}_{n\_ILT}}={{p}_{m\_ILT}}(\Delta f)-10{{\log }_{10}}\left( \frac{b}{1Hz} \right)$ |
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( 
Image Added (Eq. 110)
The bandwidth b is the bandwidth used for the emission mask. The total received interfering power emission_ILT can easily be calculated by integration over the receiver bandwidth from to
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| body | $powe{{r}_{ILT}}=10{{\log }_{10}}\left\{ \int\limits_{a}^{b}{{{10}^{\left( {{p}_{n\_ILT}}(\Delta f)/10 \right)}}}d\Delta f \right\}$ |
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Image Added (Eq. 111)
with p_n_ILT denoting the normalized mask in dBm/Hz. Using 1 Hz reference bandwidth the integral can be replaced by a summation
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| body | $powe{{r}_{ILT}}=10{{\log }_{10}}\left\{ \sum\limits_{i=a}^{b}{{{10}^{\left( {{p}_{n\_ILT}}(\Delta {{f}_{i}})/10 \right)}}} \right\}$ |
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( 
Image Added (Eq. 112)
where power_ILT is given in dBm.
Note: The interfering power of a radio system having a different bandwidth can be estimated by the aforementioned algorithms. This calculation is only required for the interference due to unwanted emissions but not for blocking and intermodulation.
Figure 377375: Integration of the unwanted emissions in the victim link receiver band
The total interfering power relative to carrier 
Image Removedcan be calculated by integration over the receiver bandwidth from 
Image Removed to 
Image Removed
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| mathit{emission\_rel_{ILT}} |
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can be calculated by integration over the receiver bandwidth from Image Added to Image Added 
Image Added (Eq. 113)
with 
denoting the normalized user-defined mask in dBc/Hz.
This mask is expressed as an array of N+1 points 
and assumed linear between these points.
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| body | $P_{rel}^{dBc}\left( \Delta f \right)={{P}_{i}}+\frac{\Delta {{f}_{{}}}-\Delta {{f}_{i}}}{\Delta {{f}_{i+1}}-\Delta {{f}_{i}}}\left( {{P}_{i+1}}-{{P}_{i}} \right)$ |
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( 
Image Added (Eq. 114)
This leads to:
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| body | $emission\_re{{l}_{it}}=10\log \left\{ \sum\limits_{i=0}^{N-1}{\int_{\Delta {{f}_{i}}}^{\Delta {{f}_{i+1}}}{{{10}^{\frac{P_{rel}^{dBc}\left( \Delta f \right)}{10}}}d\Delta f}} \right\}$ |
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( 
Image Added (Eq. 115)
where:
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| body | $\Delta {{f}_{0}}=a={{f}_{VLR}}-{{f}_{ILT}}-{{B}_{VLR}}/2$ |
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Image Added (Eq. 116)
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| body | $\Delta {{f}_{N}}=b={{f}_{VLR}}-{{f}_{ILT}}+{{B}_{VLR}}/2$ |
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Image Added (Eq. 117)
Intermediate calculation
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| body | $\begin{align} & emission\_rel_{i}^{dBc}=\int_{\Delta {{f}_{i}}}^{\Delta {{f}_{i+1}}}{{{10}^{\frac{P_{rel}^{dBc}\left( \Delta f \right)}{10}}}d\Delta f} \\ & emission\_rel_{i}^{dBc}={{10}^{\frac{{{P}_{i}}}{10}}}\int_{\Delta {{f}_{i}}}^{\Delta {{f}_{i+1}}}{{{\left[ {{10}^{\frac{{{P}_{i+1}}-{{P}_{i}}}{10\left( \Delta {{f}_{i+1}}-\Delta {{f}_{i}} \right)}}} \right]}^{\left( \Delta {{f}_{{}}}-\Delta {{f}_{i}} \right)}}d\Delta f} \\ & emission\_rel_{i}^{dBc}=\frac{{{10}^{\frac{{{P}_{i}}}{10}}}}{{{K}^{\Delta {{f}_{i}}}}}\int_{\Delta {{f}_{i}}}^{\Delta {{f}_{i+1}}}{{{K}^{\left( \Delta {{f}_{{}}}-\Delta {{f}_{i}} \right)}}d\Delta f},\quad K={{10}^{\frac{{{P}_{i+1}}-{{P}_{i}}}{10\left( \Delta {{f}_{i+1}}-\Delta {{f}_{i}} \right)}}} \\ & emission\_rel_{i}^{dBc}=\frac{{{10}^{\frac{{{P}_{i}}}{10}}}}{{{K}^{\Delta {{f}_{i}}}}}\left[ {{e}^{\ln K}} \right]_{\Delta {{f}_{i}}}^{\Delta {{f}_{i+1}}}=\frac{{{10}^{\frac{{{P}_{i}}}{10}}}}{\ln K}\left[ {{K}^{\Delta {{f}_{i+1}}-\Delta {{f}_{i}}}}-1 \right],\quad \ln K=\frac{\ln 10}{10}.\frac{{{P}_{i+1}}-{{P}_{i}}}{\Delta {{f}_{i+1}}-\Delta {{f}_{i}}} \\ & \\ \end{align}$ |
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(Eq. 118)
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| body | $emission\_rel_{i}^{dBc}=\frac{10}{\ln 10}\frac{{{10}^{{{P}_{i+1}}}}-{{10}^{{{P}_{i}}}}}{{{P}_{i+1}}-{{P}_{i}}}\left( \Delta {{f}_{i+1}}-\Delta {{f}_{i}} \right)$ |
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(Eq. 119)Eventually:
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| body | $emission\_re{{l}_{ILT}}=10\log \left\{ \frac{10}{\ln 10}\sum\limits_{i=0}^{N-1}{\frac{\left( P_{i+1}^{linear}-P_{i}^{linear} \right)\left( \Delta {{f}_{i+1}}-\Delta {{f}_{i}} \right)}{\left( P_{i+1}^{dBc}-P_{i}^{dBc} \right)}} \right\}$ |
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Image Added (Eq. 118) 
Image Added (Eq. 119)
Eventually:
Image Added (Eq. 120)