Detection
The Phased Array System Toolbox™ includes System objects and Simulink® blocks for performing matched filtering, constant false alarm rate (CFAR) detection in one or two dimensions, stretch-processing pulse compression and coherent and noncoherent pulse integration. Utility functions let you compute and visualize receiver operating characteristic (ROC) curves for various signal-to-noise ratio (SNR) levels or probabilities of false alarm. A suite of functions and an app let you perform radar analysis using the radar equation. You can estimate, for example, received SNR or maximum target detection range. A similar set of capabilities are provided for the sonar equation. Blake charts let you visualize radar coverage.
Objects
phased.AlphaBetaFilter | Alpha-beta filter for object tracking |
phased.CFARDetector | Constant false alarm rate (CFAR) detector |
phased.CFARDetector2D | Two-dimensional CFAR detector |
phased.GLRTDetector | Generalized likelihood ratio detector (Since R2023b) |
phased.LRTDetector | Likelihood ratio test detector (Since R2023b) |
phased.MatchedFilter | Matched filter |
phased.StretchProcessor | Stretch processor for linear FM waveform |
phased.TimeVaryingGain | Time varying gain control |
Blocks
| 2-D CFAR Detector | Two-dimensional constant false alarm rate (CFAR) detector |
| CFAR Detector | Constant false alarm rate (CFAR) detector |
| Dechirp Mixer | Dechirping operation on input signal |
| GLRT Detector | Perform generalized likelihood ratio test detection (Since R2023b) |
| LRT Detector | Likelihood ratio test detector (Since R2023b) |
| Matched Filter | Matched filter |
| Pulse Integrator | Coherent or noncoherent pulse integration |
| Stretch Processor | Stretch processor for linear FM waveforms |
| Time Varying Gain | Time varying gain (TVG) control |
Functions
Apps
| Sonar Equation Calculator | Estimate maximum range, SNR, transmission loss and source level of a sonar system |
| Sensor Array Analyzer | Analyze beam patterns and performance characteristics of linear, planar, 3-D, and arbitrary sensor arrays |
Topics
Detection and Estimation
- Neyman-Pearson Hypothesis Testing
In phased-array applications, you sometimes need to decide between two competing hypotheses to determine the reality underlying the data the array receives. - Constant False-Alarm Rate (CFAR) Detectors
CFAR detectors apply the Neyman-Pearson criterion to target detection. The detectors estimate noise statistics from data. - Receiver Operating Characteristics
Receiver operating characteristic (ROC) curves describe a detector’s performance by relating probability of false alarm to probability of detection. - Matched Filtering
Matched filtering increases SNR and improves detection. - Stretch Processing
Stretch processing, also known as deramping or dechirping, is an alternative to matched filtering. - FMCW Range Estimation
FMCW range estimation dechirps the received signal, extracts beat frequencies, and computes the target range. - Range-Doppler Response
Perform range-Doppler processing and visualize range-Doppler maps.
Phased Array Conventions
- Standards and Conventions
This section introduces the concept of baseband signals and defines the local and global coordinate systems used in the toolbox. - Units of Measure and Physical Constants
Phased Array System Toolbox uses the International System of Units (SI).
Sonar Equation
- Sonar Equation
The sonar equation is used in underwater signal processing to relate received signal power to transmitted signal power for one-way or two-way sound propagation. - Doppler Effect for Sound
The Doppler effect is the change in the observed frequency of a source due to the motion of either the source or receiver or both.
