Estimating Atmospheric Params w/ Autocorrelation & Spectral Density Funcs.

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SUMMARY

The discussion focuses on estimating atmospheric parameters using autocorrelation and spectral density functions in a coherent process. Key calculations include determining the maximum velocity represented by the spectral density function, the minimum resolvable velocity, and the pulse length achieved with a 13-bit Barker code. The parameters provided include a pulse repetition frequency (PRF) of 1200 Hz, a resolution of 500 m, and a maximum lag of 25 seconds, which are essential for accurate calculations.

PREREQUISITES
  • Understanding of autocorrelation functions
  • Familiarity with spectral density functions
  • Knowledge of coherent signal processing
  • Basic principles of radar systems and pulse coding
NEXT STEPS
  • Calculate maximum velocity using the formula v = f*λ with known frequency and wavelength
  • Explore methods for determining minimum resolvable velocity in coherent systems
  • Research the implications of using a 13-bit Barker code in radar signal processing
  • Investigate the relationship between lag resolution and signal processing accuracy
USEFUL FOR

Researchers in atmospheric science, engineers working with radar systems, and students studying signal processing and coherent systems will benefit from this discussion.

Firben
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Homework Statement


An experiment probes a coherent process and the receiver is coherent. The autocorrelation function and the spectral density function are estimated and transformaed into atmospheric parameters. See Table 1 below

1) Calculate the maximum velocity (in m/s) that may be represented by the spectral density function.2) What is the minimum difference in velocity that can be resolves by this system ?3) 500 m resolution is archieved by using 13 bit Barker code. What is the pulse length ?Tabel 1.

PRF [Hz] 1200
No. of coherent
integrations 32
Resolution [m] 500
Lag resolution [ms] 24.6
Nr of bits in code 13
Maximum lag [s ] 25
Operating frequency 45

Homework Equations



v = f*λ (1)

The Attempt at a Solution



1)
How can i do this when i don't know the wavelength ? Should i suppose that the maximum velocity is the speed of light ?

2)
How can i know the minimum velocity here ?

3)
What should i do here ?

I don't know were the black lines comes from ? <Moderator's note: [s ] was interpreted as a BB code>
 
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The maximum velocity is related to the resolution and sampling properties of the signal and of the computed quantities (like PSD).
 

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