Weyl - Heisenberg transform capabilities in JPEG compression standard

A Necessary Condition for Weyl-Heisenberg Frames

The JPEG Still Picture Compression Standard

For the past few years, a joint ISO/CCITT committee known as JPEG (Joint Photographic Experts Group) has been working to establish the first international compression standard for continuous-tone still images, both grayscale and color. JPEG's proposed standard aims to be generic, to support a wide variety of applications for continuous-tone images. To meet the differing needs of many applicatio...

The still image lossy compression standard - JPEG

Reducing image files will be an important procedure when we transmit files across networks (Wiseman, Schwan & Widener, 2004). or when we would like to archive libraries. Usually, JPEG can remove the less important data before the compression; hence JPEG will be able to compress images meaningfully, which produces a huge difference in the transmission time and the disk space. The processing time...

Plancherel transform criteria for Weyl-Heisenberg frames with integer oversampling

We investigate the relevance of admissibility criteria based on Plancherel measure for the characterization of tight Weyl-Heisenberg frames with integer oversampling. For this purpose we observe that functions giving rise to such Weyl-Heisenberg frames are admissible with regard to the action of a suitably defined type-I discrete group G. This allows to relate the construction of Weyl-Heisenber...

Implementation of 2-D Discrete Cosine Transform in JPEG Compression

DCT transform is widely used in audio and image compression and is the basis for compression JPEG and MPEG standards. In this report, we present implementations of 8x8 2-D DCT algorithm used in JPEG standard. In section II a fast algorithm using only eleven multipliers for 1-D DCT is discussed. Then the algorithm of 2-D DCT based on 1-D DCT is derived. Section IV will demonstrate different arch...