# Log Complex Color for Visual Pattern Recognition of Total Sound

## TL;DR

This paper introduces a novel complex spectrogram visualization that encodes both amplitude and phase information using color and brightness, enabling precise sound reconstruction and leveraging visual pattern recognition for audio analysis.

## Contribution

The paper presents a new visualization method that simultaneously displays amplitude and phase in a canonical image, allowing accurate sound reconstruction and improved audio pattern recognition.

## Key findings

- Enables exact sound reconstruction from images.
- Visualizes phase information through hue variations.
- Facilitates human visual pattern recognition of audio data.

## Abstract

While traditional audio visualization methods depict amplitude intensities vs. time, such as in a time-frequency spectrogram, and while some may use complex phase information to augment the amplitude representation, such as in a reassigned spectrogram, the phase data are not generally represented in their own right. By plotting amplitude intensity as brightness/saturation and phase-cycles as hue-variations, our complex spectrogram method displays both amplitude and phase information simultaneously, making such images canonical visual representations of the source wave. As a result, the original sound may be precisely reconstructed (down to the original phases) from an image, simply by reversing our process. This allows humans to apply our highly developed visual pattern recognition skills to complete audio data in new way.