“…Another application for the fractional DFT is in transform coding [18], [19] for data compression purposes. Transform coding amounts to quantization of the transformed signal or data before storage or transmission.…”
Abstract-A method is presented for computing an orthonormal set of eigenvectors for the discrete Fourier transform (DFT). The technique is based on a detailed analysis of the eigenstructure of a special matrix which commutes with the DFT. It is also shown how fractional powers of the DFT can be efficiently computed, and possible applications to multiplexing and transform coding are suggested.
“…Another application for the fractional DFT is in transform coding [18], [19] for data compression purposes. Transform coding amounts to quantization of the transformed signal or data before storage or transmission.…”
Abstract-A method is presented for computing an orthonormal set of eigenvectors for the discrete Fourier transform (DFT). The technique is based on a detailed analysis of the eigenstructure of a special matrix which commutes with the DFT. It is also shown how fractional powers of the DFT can be efficiently computed, and possible applications to multiplexing and transform coding are suggested.
“…2. In this context, it is worth pointing out that in image processing, especially in image compressing techniques, one can find an abundance of techniques that can reconstruct the original image with acceptable performance, without using all transformation components, but rather using only the lower component coefficients of the image transform matrix [4]. We will exploit this fact with some modifications and employ it in the antenna array processing to obtain a new beamforming technique.…”
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