» Theory

How Robust is Audio Perception in the Face of Deliberate Magnitude and Phase Distortions? (Part 3)

Mike Perkins 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 demonstrat…

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Posted In: Audio, Perk, Theory

How Robust is Audio Perception in the Face of Deliberate Magnitude and Phase Distortions? (Part 2)

Mike Perkins 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.

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Posted In: Audio, Perk, Theory

Spectral Analysis with the DFT

Mike Perkins 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. Think of passing light through a prism and breaking it into a rainbow.

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Posted In: Audio, Perk, Theory

Transforms for Video Compression, part 3: The DCT and Why Transforming is Valuable

Mike Perkins 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…

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

Mike Perkins 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…

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

Mike Perkins 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…

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The Basics of 3D Image Acquisition

Mike Perkins One of our clients is heavily involved in 3D video and has been for several years. However, several are just now starting to think about it because of the uptick of interest in the consumer electronics world. Enough questions have been posed to us re…

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Posted In: Perk, Theory, Video

Delta Sigma Converters: Filtering, Decimation, and Simulations

Mike Perkins In my first post on ΔΣ converters I presented an intuitive way to derive the modulator portion of the converter. Now we need to look at what comes after the modulator—namely, the digital filter and the decimator. The high-level structure of the c…

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Posted In: Perk, Theory

Delta Sigma Converters: Modulation

Mike Perkins The web is filled with introductions to Delta Sigma modulation (also sometimes referred to as Sigma Delta modulation) in the context of Delta Sigma converters. Unfortunately, the ones I’ve looked at fail to intuitively motivate how the modulator wo…

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Posted In: Perk, Theory

The Math Behind Analog Video Resolution

Mike Perkins The world is moving in the direction of HDTV, but NTSC “standard def” signals are still common for many reasons and will remain so. One important reason is that cameras that output NTSC are widely available and cheap! Many applications, including…

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Posted In: Perk, Theory, Video
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