“Noiselet”的意思、由来-开放百科全书

词条

Noiselet

释义

Applications
References

Noiselets are a family of functions which are related to wavelets, analogously to the way that the Fourier basis is related to a time domain signal. In other words, if a signal is compact in the wavelet domain then it will be spread out in the noiselet domain, and vice versa.^[1]

Applications

The complementarity of wavelets and noiselets means that noiselets can be used in compressed sensing to reconstruct a signal (such as an image) which has a compact representation in wavelets.^[2] . MRI data can be acquired in noiselet domain and subsequently, images can be reconstructed from undersampled data using compressive sensing reconstruction.^[3]

References

1. ^R. Coifman, F. Geshwind, and Y. Meyer, Noiselets, Applied and Computational Harmonic Analysis, 10 (2001), pp. 27–44. {{doi|10.1006/acha.2000.0313}}
2. ^E. Candes and J. Romberg, Sparsity and incoherence in compressive sampling, 23 (2007), pp. 969-985. {{doi|10.1088/0266-5611/23/3/008 }}
3. ^K. Pawar, G. Egan, and Z. Zhang, Multichannel Compressive Sensing MRI Using Noiselet Encoding, 05 (2015), {{doi|10.1371/journal.pone.0126386}}

1 : Signal processing

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