Simultaneous measurement of time-invariant linear and nonlinear, and random and extra responses using frequency domain variant of velvet noise

TL;DR

This paper presents a novel acoustic measurement technique that simultaneously captures linear, nonlinear, and dynamic responses using orthogonal sequences derived from a new type of Velvet Noise, enabling real-time analysis without extra equipment.

Contribution

It introduces a frequency domain variant of Velvet Noise for simultaneous measurement of multiple acoustic responses, with practical implementation and open-source tools.

Findings

Successful simulation and acoustic measurement demonstrations

Real-time analysis capability demonstrated

Open-source tool available for broader use

Abstract

We introduce a new acoustic measurement method that can measure the linear time-invariant response, the nonlinear time-invariant response, and random and time-varying responses simultaneously. The method uses a set of orthogonal sequences made from a set of unit FVNs (Frequency domain variant of Velvet Noise), a new member of the TSP (Time Stretched Pulse). FVN has a unique feature that other TSP members do not. It is a high degree of design freedom that makes the proposed method possible without introducing extra equipment. We introduce two useful cases using two and four orthogonal sequences and illustrates their use using simulations and acoustic measurement examples. We developed an interactive and realtime acoustic analysis tool based on the proposed method. We made it available in an open-source repository. The proposed response analysis method is general and applies to other fields, such as auditory-feedback research and assessment of sound recording and coding.