Lossless compression applying linear predictive coding based on the directionality of interference patterns of a...

Area of Science:

• Digital Holography
• Image Compression
• Signal Processing

Background:

• Holographic data storage requires efficient compression techniques.
• Lossless compression is crucial for preserving holographic information integrity.
• Directionality of holographic interference patterns offers potential for data reduction.

Purpose of the Study:

• To develop a lossless compression scheme for holograms.
• To leverage the directional properties of interference patterns for improved compression.
• To compare the effectiveness of differential pulse coding modulation (DPCM) and linear predictive coding (LPC) for hologram compression.

Main Methods:

• Interference patterns were segmented into blocks and analyzed in eight directions.
• Entropy calculation determined the direction of minimum entropy for each block.
• Differential Pulse Coding Modulation (DPCM) was used for directional encoding.
• Linear Predictive Coding (LPC) was applied using direction-specific prediction coefficients.

Main Results:

• A compression rate of 26.7% was achieved using the proposed method.
• The first approach, focusing on directional DPCM, yielded significant compression.
• The study demonstrated the efficacy of directional analysis in hologram compression.

Conclusions:

• Lossless linear predictive coding based on interference pattern directionality is effective for hologram compression.
• The proposed method offers a viable solution for reducing holographic data size while maintaining information fidelity.
• Further research can explore advanced predictive models for even greater compression efficiency.