Calculation of line of sight system gain
$begingroup$
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 2 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 2 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 2 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 2 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 2 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 2 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 2 hours ago
Lily HaynesLily Haynes
61
asked 2 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
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 1 hour ago
MBazMBaz
9,08041733
$endgroup$
$begingroup$
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
47 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
10 mins ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
8 mins ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
7 mins ago
add a comment |
Your Answer
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "295"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Lily Haynes is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdsp.stackexchange.com%2fquestions%2f56847%2fcalculation-of-line-of-sight-system-gain%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
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 1 hour ago
MBazMBaz
9,08041733
$endgroup$
$begingroup$
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
47 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
10 mins ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
8 mins ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
7 mins 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 1 hour ago
MBazMBaz
9,08041733
$endgroup$
$begingroup$
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
47 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
10 mins ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
8 mins ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
7 mins 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 1 hour ago
MBazMBaz
9,08041733
$endgroup$
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 1 hour ago
MBazMBaz
9,08041733
answered 1 hour ago
MBazMBaz
9,08041733
answered 1 hour ago
MBazMBaz
9,08041733
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
47 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
10 mins ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
8 mins ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
7 mins 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
47 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
10 mins ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
8 mins ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
7 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
47 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
47 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
10 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
10 mins ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
8 mins ago
$begingroup$
Perfect, I understand now, thank you for your help!
$endgroup$
– Lily Haynes
8 mins ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
7 mins ago
$begingroup$
You're welcome; glad to be of help!
$endgroup$
– MBaz
7 mins 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.
Thanks for contributing an answer to Signal Processing Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdsp.stackexchange.com%2fquestions%2f56847%2fcalculation-of-line-of-sight-system-gain%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
