Mike Perkins

Transforms for Video Compression, Part 3: The DCT and Why Transforming Is Valuable

The use of transforms in data compression algorithms is at least 40 years old. The goal of this three-part series of posts is to provide the mathematical background necessary for understanding transforms and to explain why they are a valuable part of many compression algorithms. I’m focusing on video since that’s my particular interest. Part…

Mike Perkins

Transforms for Video Compression, Part 2: Matrix Representation and 2D Transforms

The use of transforms in data compression algorithms is at least 40 years old. The goal of this three-part series of posts is to provide the mathematical background necessary for understanding transforms and to explain why they are a valuable part of many compression algorithms. I’m focusing on video since that’s my particular interest. Part…

Mike Perkins

Transforms for Video Compression, Part 1: Vectors, the Dot Product and Orthonormal Bases

The use of transforms in data compression algorithms is at least 40 years old. The goal of this three-part series of posts is to provide the mathematical background necessary for understanding transforms and to explain why they are a valuable part of many compression algorithms. I’ll focus on video since that’s my particular interest. Part…

Mike Perkins

Power Measurements With the DFT

Many of the systems we work on here at Cardinal Peak employ analog-to-digital conversion in one form or another. It seems like almost invariably some analog signal needs to be digitized or “sampled.” Sampling is the process of periodically looking at an analog signal at some sample rate, and then converting each measured value into…