Anamorphic stretch transform
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Comment: All sources are written by the same people. You need multiple independent sources. Chris1834 (talk) 16:49, 14 January 2014 (UTC)
Anamorphic Stretch Transform (AST), so called because it reshapes the data in a manner resembling Anamorphosis and Surrealism art, is a mathematical transform used for data compression. It works with analog signals such as communication data or with digital data such as images.
Operation principle
Anamorphic Stretch Transform (AST)[1][2][3], is a mathematical transformation in which analog or digital data is stretched and warped in a specific fashion such that after down sampling, the volume of data is reduced without loss of pertinent information. The recipe for reshaping is prescribed by a mathematical function called Stretched Modulation Distribution, also called Modulation Intensity Distribution (not to be confused with a different function of the same name used in mechanical diagnostics). Stretched Modulation Distribution is a 3D plot that describes the dependence of the intensity (power), on the modulation frequency and its time duration. It provides insight on how the information bandwidth and data volume is modified upon dispersion in time domain, or diffraction in spatial domain. It also gives the blueprint for compressing the data.
Applications to time domain signals
The AST technology makes it possible to not only capture and digitize signals that are faster than the speed of the sensor and the digitizer, but also to minimize the volume of the data generated in the process. The transformation causes the signal to be reshaped is such a way that sharp features are stretched more than coarse features. Upon subsequent sampling, this self-adaptive stretch (SAS) causes more digital samples to be allocated to sharp features where they are needed the most, and fewer to coarse features where they would be redundant.
References
- ^ M. H. Asghari, and B. Jalali, “Anamorphic transformation and its application to time-bandwidth compression,” Physics Arxiv, arXiv:1307.0137, June 2013.[1]
- ^ M. H. Asghari, and B. Jalali, "Anamorphic transformation and its application to time-bandwidth compression," Applied Optics, Vol. 52, pp. 6735-6743 (2013). [2]
- ^ M. H. Asghari, and B. Jalali, "Demonstration of analog time-bandwidth compression using anamorphic stretch transform," Frontiers in Optics (FIO 2013), Paper: FW6A.2, Orlando, USA. [3]