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Calculation of line of sight system gain
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$begingroup$
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
asked 5 hours ago
Lily HaynesLily Haynes
61
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.
$endgroup$
add a comment |
$begingroup$
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
asked 5 hours ago
Lily HaynesLily Haynes
61
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.
$endgroup$
add a comment |
$begingroup$
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
asked 5 hours ago
Lily HaynesLily Haynes
61
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
asked 5 hours ago
Lily HaynesLily Haynes
61
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 5 hours ago
Lily HaynesLily Haynes
61
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 5 hours ago
Lily HaynesLily Haynes
61
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 5 hours ago
Lily HaynesLily Haynes
61
asked 5 hours ago
Lily HaynesLily Haynes
61
61
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.
add a comment |
add a comment |
1 Answer
1
active
oldest
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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: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$
answered 4 hours ago
MBazMBaz
9,08041734
$endgroup$
$begingroup$
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
3 hours 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
3 hours ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
3 hours ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
3 hours ago
add a comment |
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1 Answer
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active
oldest
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1 Answer
1
active
oldest
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votes
$begingroup$
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: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$
answered 4 hours ago
MBazMBaz
9,08041734
$endgroup$
$begingroup$
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
3 hours 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
3 hours ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
3 hours ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
3 hours ago
add a comment |
$begingroup$
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: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$
answered 4 hours ago
MBazMBaz
9,08041734
$endgroup$
$begingroup$
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
3 hours 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
3 hours ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
3 hours ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
3 hours ago
add a comment |
$begingroup$
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: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$
answered 4 hours ago
MBazMBaz
9,08041734
$endgroup$
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: $$ G_{dB} = G_{FS,dB} + G_{T,dB} + G_{R,dB}. $$
answered 4 hours ago
MBazMBaz
9,08041734
answered 4 hours ago
MBazMBaz
9,08041734
answered 4 hours ago
MBazMBaz
9,08041734
answered 4 hours ago
MBazMBaz
9,08041734
9,08041734
$begingroup$
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
3 hours 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
3 hours ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
3 hours ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
3 hours ago
add a comment |
$begingroup$
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
3 hours 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
3 hours ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
3 hours ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
3 hours 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
3 hours 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
3 hours 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
3 hours 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
3 hours ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
3 hours ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
3 hours ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
3 hours ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
3 hours ago
add a comment |
Lily Haynes is a new contributor. Be nice, and check out our Code of Conduct.
Lily Haynes is a new contributor. Be nice, and check out our Code of Conduct.
Lily Haynes is a new contributor. Be nice, and check out our Code of Conduct.
Lily Haynes is a new contributor. Be nice, and check out our Code of Conduct.
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