# Multi-layered Cepstrum for Instantaneous Frequency Estimation

## TL;DR

The paper introduces a multi-layered cepstrum method that recursively enhances fundamental frequency estimation, effectively handling noisy and contaminated signals in polyphonic music analysis.

## Contribution

It presents a novel recursive cepstrum approach for improved instantaneous frequency estimation in challenging noise conditions.

## Key findings

- Effective in high-pass filter noise scenarios
- Improves MF0 saliency in polyphonic music
- Demonstrates potential in real-world datasets

## Abstract

We propose the multi-layered cepstrum (MLC) method to estimate multiple fundamental frequencies (MF0) of a signal under challenging contamination such as high-pass filter noise. Taking the operation of cepstrum (i.e., Fourier transform, filtering, and nonlinear activation) recursively, MLC is shown as an efficient method to enhance MF0 saliency in a step-by-step manner. Evaluation on a real-world polyphonic music dataset under both normal and low-fidelity conditions demonstrates the potential of MLC.