In audio processing applications, phase retrieval (PR) is often performed from the magnitude of short-time Fourier transform (STFT) coefficients. Although PR performance has been observed to depend on considered STFT parameters and data, extent this dependence not systematically evaluated yet. To address this, we studied three algorithms for various types content such as redundancy, time-freque...

The Microsoft HD Photo image format attempts to improve on the JPEG standard by providing improvements in image quality, less artifacts, and higher compression ratios. The algorithm uses a hierarchy of spatial-to-frequency transforms, which requires 4 independent operators to be applied serially to the image data. These operators consist of two hierarchical applications of a pre-filtering trans...

This paper proposes a method for extracting subimages from a huge reference image by using lifting wavelet transforms that map integers to integers. Our integertype lifting wavelet transform contains controllable free parameters, which are constructed based on an integer version of Haar transform. Our learning method is to determine such free parameters using some subimages so as to vanish thei...

We use a Fourier transform spectrometer based on compact mid-infrared difference frequency generation comb source to perform broadband high-resolution measurements of nitrous oxide, $^{14}$N$_2$$^{16}$O, and retrieve line center frequencies the $\nu$$_1$ fundamental band + $\nu$$_2$ - hot band. The spectrum spans 90 cm$^{-1}$ around 1285 with sample point spacing 3 ${\times}$ 10$^{-4}$ (9 MHz)....