What is the bandwidth of waveform

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Reference no: EM132695273

For all the following homework problems (unless otherwise specified) assume the following RADAR parameters
• Pt = 100 W
• Gtx = Grx = 1000
• Fc = 10 GHz
• σ = 10m2
• Lsys = 5 dB
• τ = 1µsec
• Fn = 5 dB
• To = 290 K
• PRF = 20000 Hz

Assignment from the "Radar Signal Processing"

Problem 1

Consider the RADAR with the parameters expressed above. The RADAR employs a linear frequency modulated (LFM) waveform with a start frequency of Fstart = 9GHz and a stop frequency of Fstop = 11GHz.
• What is the bandwidth of this waveform?
• What is the time bandwidth product of this waveform?
• What is the range resolution of this waveform?

Problem 2

If the RADAR in Problem 1 employs stretch processing at the receiver, what is the sample rate required to ensure a range swath of 2km?

Problem 3

Assume a RADAR empolys a phase coded waveform, like a Barker 13 code. What would the chip width needed to support a range resolution of 0.3048 m? If in fact a Barker 13 were to be employed, what would the resulting pulse length be?

Problem 4

Recall, an LFM has the form of x (t) = ej2π[fc+ γ t]t ∀t ∈ Σ -τ/2 , τ/2. Remember γ = BW/τ is the chirp rate given in Hz . Plot, in Matlab, the matched filter output for a zero delay LFM. Assume LFM parameters as described in Problem 1. You will have to determine the appropriate sampling frequency, generate the LFM waveform, and then cross correlate it with itself (you are essentially calculating the autocorrelation of the waveform). You may use the Matlab command xcorr if you prefer. Be sure to have an x axis that shows time lags.

Reference no: EM132695273

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