Tag: DFT

In the first post of this three-part series, I listed four points that I hope my readers will agree with at the end of this series. The second post addressed the first two points of the four. In this post, Part Three of the series, I will demonstrate the final two points: Phase distortions generally... View Article

In this post I will demonstrate that dramatically different time domain waveforms can lead to virtually the same audio perception, and two waveforms with identical spectrograms can sound quite different.

You may have encountered spectral analysis. The basic idea is to take a waveform, in our case an audio clip, and determine which frequency components are in it. This post provides a very brief overview of the Discrete Fourier Transform (DFT), spectrograms and DFT spectral analysis.

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... View Article

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... View Article

Discover the power of transforms in video compression. Part 1 explains vectors, dot products, and orthonormal bases—essential for understanding advanced compression algorithms. Ready to transform your approach?

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... View Article