Aero 250 Equations Flashcards
SNR(dB)
10log(Ps/Pn)
Modulation factor, mu
KaAm = Am/m
Channel capacity, C
BcLog2(1 + SNR) = BcLog(P/BcN0)
Carrier power, Pc
(Ac^2)/2
Angle modulated signal power, P
(A^2)/2
Carson’s rule
Banglemod = 2(B + ∆f) = 2B(ß + 1), where ß = ∆f/B
Sampling frequency, fs
1/Ts
Bit number, N
Log2(L), where L is the quantisation level.
Range, R
0.5ct, where t is transit time.
Range resolution, ∆R
c/2Bp, where Bp is the pulse bandwidth
Pulse bandwidth, Bp
1/Tp, where Tp is the pulse duration
Duty cycle, d
Tp/Tpri, where Tpri is the pulse repetition interval.
Max range, Rmax
c/2fprf, where fprf is the pulse repetition frequency.
Average power (radar)
dPpeak, where Ppeak is the peak power.
SNRintegrated
GI SNRperpulse
Beamwidth, ∆theta
1.22lambda/2a, where a is the radius of the circular aperture.
Cross range resolution, ∆Rc
2RSin(∆theta/2)
Range accuracy, sigmaR
∆R/√(2SNR) = c/2Bp√(2SNR)
Angular accuracy, sigmaA
∆theta/1.6√(2SNR)
Doppler shift, fd
2Vr/lambda, where Vr is the radial velocity
Integration time for two doppler shifts, Tint
1/∆fd
Doppler shift error, sigmafd
∆fd/√(2SNR)
Radial velocity error, sigmaVr
lambda∆fd/2√(2SNR)
Rayleigh criterion
∆theta = 1.22lambda/D
Angular resolution, ∆theta
theta/N
Noise power, N
kT0BF, where T0 is the temperature of the electronics, and F is the noise figure of the electronics.
Antenna gain, G
4π/(∆theta)^2
