Radar Processing

Pulse Processing

A filter is applied to the captured pulse based on desired properties.

In the time domain convolution is used - <math> y(t) = x(t) \star h(t) </math>

In the Fourier Domain - <math> F(\omega) = X(\omega) H(\omega) </math>

Review Paper

Transmit Codes and Receive Filters for Radar - [1]

Matched Filtering

For optimal SNR recovery of a pulse, a matched filter is used.

The transfer function is generated as - <math> H(\omega) = \bar{X(\omega)} </math>

Least Mean Squares Pulse Compression

This technique generates lower side-lobes than produced by matched filtering.

Let N be the signal length and M be the filter length and T be N + M - 1.

A is a T x M matrix where each column is the input signal padded by zeros. Each sequential column is shifted by one element. The last column contains all of the zero padding followed by the signal. Let b be the ideal filter output. b is typically an impulse function with all zeros except for the middle element.

The least mean square filter is then generated by - <math> h = [\bar{A}^T A]^{-1} \bar{A}^T b </math>

MATLAB example - File:BarkerCodeLevanonLMSPC.pdf

Stretch Processing

Phase error calibration

THz Imaging Radar for Standoff Personnel Screening - http://dx.doi.org/10.1109/TTHZ.2011.2159556

SNR

SNR in Stretch Processing - http://dx.doi.org/10.1049/el.2010.0349

Primer

HUSIR Signal Processing File:21 1 7 Eshbaugh.pdf

CFAR

Seminal Paper of Ordered Statistic CFAR - [[2]]

References

Weather Radar Pulse Compression (Low Sidelobe Filtering) - File:Pulse Compression for Weather Radars.pdf

Seminal Paper on LMS Pulse Compression - [[3]]

SAR

Kronecker STAP and SAR GMTI - [[4]]

Method to measure motion - [[5]] , [[6]]

ISAR

Polarimetric ISAR Autofocusing - [[7]]

Accurate Height Determination (Determination of absolute interferometric phase using the beam-amplitude ratio technique) - [[8]]

Compressive sensing-based inverse synthetic radar imaging imaging from incomplete data - [[9]]

Fourier-based ISAR imaging using 2D polynomials - [[10]]

Tracking

Range and Angle Tracking File:11Lec - Range and Angle Tracking.pdf

Precision Tracking Algorithms for ISAR Imaging [[11]]

Coherent Processing

Notes on Noncoherent Gain File:Notes on Noncoherent Integration Gain.pdf