Calculation of line of sight system gain












1












$begingroup$


I'm trying to calculate the overall gain of the transmitter-receiver system for a line-of-sight wireless transmission with the following properties:




  • A carrier frequency of 0.5GHz

  • A distance between the transmitter and receiver antennas of 2Km

  • A parabolic antenna in the transmitter with a face area of 0.8m2

  • An infinitesimal dipole in the receiver



From what I can understand/determine the equation for calculating gain is:



G = 4π*effective area/carrier wavelength/carrier wavelength OR



G = 4π*carrier frequency2*effective area/speed of light2




My question is how to calculate the overall gain of the system. Is it as simple as calculating the gain of the transmitter and receiver separately and then adding them together?






signal-analysis







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Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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    1












    $begingroup$


    I'm trying to calculate the overall gain of the transmitter-receiver system for a line-of-sight wireless transmission with the following properties:




    • A carrier frequency of 0.5GHz

    • A distance between the transmitter and receiver antennas of 2Km

    • A parabolic antenna in the transmitter with a face area of 0.8m2

    • An infinitesimal dipole in the receiver



    From what I can understand/determine the equation for calculating gain is:



    G = 4π*effective area/carrier wavelength/carrier wavelength OR



    G = 4π*carrier frequency2*effective area/speed of light2




    My question is how to calculate the overall gain of the system. Is it as simple as calculating the gain of the transmitter and receiver separately and then adding them together?






    signal-analysis







    share|improve this question







    New contributor




    Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$















      1












      1








      1





      $begingroup$


      I'm trying to calculate the overall gain of the transmitter-receiver system for a line-of-sight wireless transmission with the following properties:




      • A carrier frequency of 0.5GHz

      • A distance between the transmitter and receiver antennas of 2Km

      • A parabolic antenna in the transmitter with a face area of 0.8m2

      • An infinitesimal dipole in the receiver



      From what I can understand/determine the equation for calculating gain is:



      G = 4π*effective area/carrier wavelength/carrier wavelength OR



      G = 4π*carrier frequency2*effective area/speed of light2




      My question is how to calculate the overall gain of the system. Is it as simple as calculating the gain of the transmitter and receiver separately and then adding them together?






      signal-analysis







      share|improve this question







      New contributor




      Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I'm trying to calculate the overall gain of the transmitter-receiver system for a line-of-sight wireless transmission with the following properties:




      • A carrier frequency of 0.5GHz

      • A distance between the transmitter and receiver antennas of 2Km

      • A parabolic antenna in the transmitter with a face area of 0.8m2

      • An infinitesimal dipole in the receiver



      From what I can understand/determine the equation for calculating gain is:



      G = 4π*effective area/carrier wavelength/carrier wavelength OR



      G = 4π*carrier frequency2*effective area/speed of light2




      My question is how to calculate the overall gain of the system. Is it as simple as calculating the gain of the transmitter and receiver separately and then adding them together?






      signal-analysis




      signal-analysis






      share|improve this question







      New contributor




      Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




      share|improve this question






      New contributor




      Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked 2 hours ago









      Lily HaynesLily Haynes

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      New contributor




      Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Lily Haynes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















          1 Answer
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          $begingroup$

          You need to multiply the antenna gains, not add them. Specifically, if the free-space loss (attenuation) is $L_{FS}$, the transmitter antenna has gain $G_T$, and the receiver antenna has gain $G_R$, then the total system loss $L$ is $$ L = frac{L_{FS}}{G_T G_R}. $$ The system gain $G$ is $$G = frac{1}{L} = G_{FS}G _T G_R, $$ where $G_{FS}$ is the free-space gain.



          Of course, if you're doing the calculation in decibels, then the antenna gains are added: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thank you that's really helpful but I'm a bit confused as to how to calculate the free-space gain that you talked about. I understand how to calculate the free-space loss, but I can't seem to find any information about free-space gain?
            $endgroup$
            – Lily Haynes
            50 mins ago










          • $begingroup$
            I focused on the gain since that is what you mention in your question. The gain is just the reciprocal of the loss: $G = 1/L$. If all you need is the loss, you can use the first formula in my answer; in decibels, it'd be $L_{dB} = L_{FS,dB} - G_{T,dB} - G_{R,dB}$.
            $endgroup$
            – MBaz
            12 mins ago










          • $begingroup$
            Perfect, I understand now, thank you for your help!
            $endgroup$
            – Lily Haynes
            10 mins ago










          • $begingroup$
            You're welcome; glad to be of help!
            $endgroup$
            – MBaz
            9 mins ago












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          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

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          1












          $begingroup$

          You need to multiply the antenna gains, not add them. Specifically, if the free-space loss (attenuation) is $L_{FS}$, the transmitter antenna has gain $G_T$, and the receiver antenna has gain $G_R$, then the total system loss $L$ is $$ L = frac{L_{FS}}{G_T G_R}. $$ The system gain $G$ is $$G = frac{1}{L} = G_{FS}G _T G_R, $$ where $G_{FS}$ is the free-space gain.



          Of course, if you're doing the calculation in decibels, then the antenna gains are added: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thank you that's really helpful but I'm a bit confused as to how to calculate the free-space gain that you talked about. I understand how to calculate the free-space loss, but I can't seem to find any information about free-space gain?
            $endgroup$
            – Lily Haynes
            50 mins ago










          • $begingroup$
            I focused on the gain since that is what you mention in your question. The gain is just the reciprocal of the loss: $G = 1/L$. If all you need is the loss, you can use the first formula in my answer; in decibels, it'd be $L_{dB} = L_{FS,dB} - G_{T,dB} - G_{R,dB}$.
            $endgroup$
            – MBaz
            12 mins ago










          • $begingroup$
            Perfect, I understand now, thank you for your help!
            $endgroup$
            – Lily Haynes
            10 mins ago










          • $begingroup$
            You're welcome; glad to be of help!
            $endgroup$
            – MBaz
            9 mins ago
















          1












          $begingroup$

          You need to multiply the antenna gains, not add them. Specifically, if the free-space loss (attenuation) is $L_{FS}$, the transmitter antenna has gain $G_T$, and the receiver antenna has gain $G_R$, then the total system loss $L$ is $$ L = frac{L_{FS}}{G_T G_R}. $$ The system gain $G$ is $$G = frac{1}{L} = G_{FS}G _T G_R, $$ where $G_{FS}$ is the free-space gain.



          Of course, if you're doing the calculation in decibels, then the antenna gains are added: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thank you that's really helpful but I'm a bit confused as to how to calculate the free-space gain that you talked about. I understand how to calculate the free-space loss, but I can't seem to find any information about free-space gain?
            $endgroup$
            – Lily Haynes
            50 mins ago










          • $begingroup$
            I focused on the gain since that is what you mention in your question. The gain is just the reciprocal of the loss: $G = 1/L$. If all you need is the loss, you can use the first formula in my answer; in decibels, it'd be $L_{dB} = L_{FS,dB} - G_{T,dB} - G_{R,dB}$.
            $endgroup$
            – MBaz
            12 mins ago










          • $begingroup$
            Perfect, I understand now, thank you for your help!
            $endgroup$
            – Lily Haynes
            10 mins ago










          • $begingroup$
            You're welcome; glad to be of help!
            $endgroup$
            – MBaz
            9 mins ago














          1












          1








          1





          $begingroup$

          You need to multiply the antenna gains, not add them. Specifically, if the free-space loss (attenuation) is $L_{FS}$, the transmitter antenna has gain $G_T$, and the receiver antenna has gain $G_R$, then the total system loss $L$ is $$ L = frac{L_{FS}}{G_T G_R}. $$ The system gain $G$ is $$G = frac{1}{L} = G_{FS}G _T G_R, $$ where $G_{FS}$ is the free-space gain.



          Of course, if you're doing the calculation in decibels, then the antenna gains are added: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$






          share|improve this answer









          $endgroup$



          You need to multiply the antenna gains, not add them. Specifically, if the free-space loss (attenuation) is $L_{FS}$, the transmitter antenna has gain $G_T$, and the receiver antenna has gain $G_R$, then the total system loss $L$ is $$ L = frac{L_{FS}}{G_T G_R}. $$ The system gain $G$ is $$G = frac{1}{L} = G_{FS}G _T G_R, $$ where $G_{FS}$ is the free-space gain.



          Of course, if you're doing the calculation in decibels, then the antenna gains are added: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 1 hour ago









          MBazMBaz

          9,08041733




          9,08041733












          • $begingroup$
            Thank you that's really helpful but I'm a bit confused as to how to calculate the free-space gain that you talked about. I understand how to calculate the free-space loss, but I can't seem to find any information about free-space gain?
            $endgroup$
            – Lily Haynes
            50 mins ago










          • $begingroup$
            I focused on the gain since that is what you mention in your question. The gain is just the reciprocal of the loss: $G = 1/L$. If all you need is the loss, you can use the first formula in my answer; in decibels, it'd be $L_{dB} = L_{FS,dB} - G_{T,dB} - G_{R,dB}$.
            $endgroup$
            – MBaz
            12 mins ago










          • $begingroup$
            Perfect, I understand now, thank you for your help!
            $endgroup$
            – Lily Haynes
            10 mins ago










          • $begingroup$
            You're welcome; glad to be of help!
            $endgroup$
            – MBaz
            9 mins ago


















          • $begingroup$
            Thank you that's really helpful but I'm a bit confused as to how to calculate the free-space gain that you talked about. I understand how to calculate the free-space loss, but I can't seem to find any information about free-space gain?
            $endgroup$
            – Lily Haynes
            50 mins ago










          • $begingroup$
            I focused on the gain since that is what you mention in your question. The gain is just the reciprocal of the loss: $G = 1/L$. If all you need is the loss, you can use the first formula in my answer; in decibels, it'd be $L_{dB} = L_{FS,dB} - G_{T,dB} - G_{R,dB}$.
            $endgroup$
            – MBaz
            12 mins ago










          • $begingroup$
            Perfect, I understand now, thank you for your help!
            $endgroup$
            – Lily Haynes
            10 mins ago










          • $begingroup$
            You're welcome; glad to be of help!
            $endgroup$
            – MBaz
            9 mins ago
















          $begingroup$
          Thank you that's really helpful but I'm a bit confused as to how to calculate the free-space gain that you talked about. I understand how to calculate the free-space loss, but I can't seem to find any information about free-space gain?
          $endgroup$
          – Lily Haynes
          50 mins ago




          $begingroup$
          Thank you that's really helpful but I'm a bit confused as to how to calculate the free-space gain that you talked about. I understand how to calculate the free-space loss, but I can't seem to find any information about free-space gain?
          $endgroup$
          – Lily Haynes
          50 mins ago












          $begingroup$
          I focused on the gain since that is what you mention in your question. The gain is just the reciprocal of the loss: $G = 1/L$. If all you need is the loss, you can use the first formula in my answer; in decibels, it'd be $L_{dB} = L_{FS,dB} - G_{T,dB} - G_{R,dB}$.
          $endgroup$
          – MBaz
          12 mins ago




          $begingroup$
          I focused on the gain since that is what you mention in your question. The gain is just the reciprocal of the loss: $G = 1/L$. If all you need is the loss, you can use the first formula in my answer; in decibels, it'd be $L_{dB} = L_{FS,dB} - G_{T,dB} - G_{R,dB}$.
          $endgroup$
          – MBaz
          12 mins ago












          $begingroup$
          Perfect, I understand now, thank you for your help!
          $endgroup$
          – Lily Haynes
          10 mins ago




          $begingroup$
          Perfect, I understand now, thank you for your help!
          $endgroup$
          – Lily Haynes
          10 mins ago












          $begingroup$
          You're welcome; glad to be of help!
          $endgroup$
          – MBaz
          9 mins ago




          $begingroup$
          You're welcome; glad to be of help!
          $endgroup$
          – MBaz
          9 mins ago










          Lily Haynes is a new contributor. Be nice, and check out our Code of Conduct.










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          Lily Haynes is a new contributor. Be nice, and check out our Code of Conduct.
















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