Abstract
In 1946, David Middleton, along with his PhD advisor J.H. Van Vleck (later to be awarded the Nobel prize), published the paper “A Theoretical Comparison of the Visual, Aural, and Meter Reception of Pulsed Signals in the Presence of Noise” in the Journal of Applied Physics [23]. This paper evolved from earlier work of Middleton in 1943. In it, a new type of device was derived and analyzed. It was to be called the matched filter. It allowed filter designers a straightforward method for detecting the presence of a signal that was obscured by additive noise. Coming at a time when radar was being developed and its important role in World War II recognized, the matched filter was to have a lasting impact on humanity. Although principally motivated by the radar application, it has found widespread use in commercial and military applications. From locating blood vessels from retinal images [11], to monitoring water pollution [1], to the design of cell phones [7], this once “military ” concept has proven to be a fundamental tool in modern signal processing. A recent Google search produced more than 568,000 hits in response to the input “matched filter”, with application fields that are widely diverse.
Keywords
- Matched Filter
- Constant False Alarm Rate
- Steering Vector
- Noise Power Spectral Density
- Minimum Variance Distortionless Response
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Acknowledgments
Dr. Rangaswamy’s work on this chapter was supported by the Air Force Office of Scientific Research under project 2311. The material in Sections 7 and 8 is reproduced from the following publication with permission from the IEEE. M.C. Wicks, M. Rangaswamy, R.S. Adve, and T.B. Hale, “Space-Time Adaptive Processing: A Knowledge-Based Perspective for Airborne Radar,” IEEE Signal Processing Magazine, Vol. 23, no. 1, January 2006, pp. 51–65.
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Kay, S., Rangaswamy, M. (2012). The Ubiquitous Matched Filter: A Tutorial and Application to Radar Detection. In: Cohen, L., Poor, H., Scully, M. (eds) Classical, Semi-classical and Quantum Noise. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6624-7_8
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