Signal-to-Noise (SNR) for SAR (2)

Last modified by

Jul 24, 2020, 6:28:07 PM

Created by

Jun 13, 2016, 5:27:41 PM

S N R_{image} = \frac{P_{avg} \cdot (n_{ap}^{2} \cdot A_{A}^{2}) \cdot ρ_{r} \cdot σ_{0, r e f} \cdot {(\frac{f}{f_{ref}})}^{n} \cdot f \cdot a_{wa}}{8 π \cdot c \cdot v_{x} \cdot (k \cdot T \cdot F_{N}) \cdot (L_{radar} \cdot L_{r} \cdot L_{a}) \cdot [R^{3} \cdot \sqrt{1 - {(\frac{h}{R})}^{2}} 10^{\frac{α \cdot R}{10}}]}

$SNR_"image" = ( P_"avg" * ( n_"ap" ^2 * A_A ^2 ) * rho_r * sigma_(0, ref) * ( f / f_"ref" )^ n * f * a_"wa" ) / ( 8 pi * c * v_x * (k * T * F_N ) * ( L_"radar" * L_r * L_a ) * [ R ^3 * sqrt(1 - (h/R)^2) 10^(( alpha * R )/10)])$

(P_{avg}) Average power transmitted during the synthetic aperture data collection period

$(P_"avg")"Average power transmitted during the synthetic aperture data collection period"$

(A_{A}) The physical area of the antenna aperture

$(A_A)"The physical area of the antenna aperture"$

(n_{ap}) The aperture efficieny of the antenna

$(n_"ap")"The aperture efficieny of the antenna"$

(ρ_{r}) The slant-range resolution

$(rho_r)"The slant-range resolution"$

(σ_{0, r e f}) Distributed target reflectivity (m^2/m^2)

$(sigma_(0, ref))"Distributed target reflectivity (m^2/m^2)"$

(a_{wa}) Azimuth impulse response broadening factor

$(a_"wa")"Azimuth impulse response broadening factor"$

(f) Nominal frequency

$(f)"Nominal frequency"$

(f_{ref}) Reference nominal frequency

$(f_"ref")"Reference nominal frequency"$

(n) RCS frequency dependence

$(n)"RCS frequency dependence"$

(R) The magnitude of the distance vector from radar to target

$(R)"The magnitude of the distance vector from radar to target"$

(v_{x}) The platform velocity, horizontal and orthogonal to the target direction

$(v_x)"The platform velocity, horizontal and orthogonal to the target direction"$

(T) Ambient temperature

$(T)"Ambient temperature"$

(F_{N}) System noise factor for the receiver

$(F_N)"System noise factor for the receiver"$

(L_{radar}) Noise bandwidth at the antenna port

$(L_"radar")"Noise bandwidth at the antenna port"$

(L_{r}) The reduction in SNR gain due to non-ideal range filtering

$(L_r)"The reduction in SNR gain due to non-ideal range filtering"$

(α) The two-way atmospheric loss rate (dB/m)

$(alpha)"The two-way atmospheric loss rate (dB/m)"$

(L_{a}) The reduction in SNR gain due to non-ideal azimuth filtering

$(L_a)"The reduction in SNR gain due to non-ideal azimuth filtering"$

(h) The elevation of the radar relative to the target

$(h)"The elevation of the radar relative to the target"$

Equations and Data Items

•

π

$pi$ by MichaelBartmess

• c (speed of light) with units m/s by MichaelBartmess

• Boltzmann constant (J/K) with Units by MichaelBartmess

This equation, Signal-to-Noise (SNR) for SAR (2), is used in 2 pages

Calculators

• Synthetic Aperture Radar (SAR) Calculator by TylerJones

Equations and Data Items

Collections

• Physics Collection by TylerJones

Comments
Attachments
Stats

No comments

No attachments

Last 12 Months

This site uses cookies to give you the best, most relevant experience. By continuing to browse the site you are agreeing to our use of cookies.

Signal-to-Noise (SNR) for SAR (2)

Datasets

Equations and Data Items

Calculators

Equations and Data Items

Collections