# Fourier Analysis and the Mathematics behind it

Suppose we have a set of n linearly independent elements

# Hilbert Transform

Hilbert Transform is a great tool for analyzing non-stationary time series. Fourier transform is defined as

# Cross the "wall" using V2ray

Continued from the last post. This note intends to give a small demonstration of the API usage of Google cloud.

# Formant Synthesizer (2)

## Implementation

Continued from last article. First generate voice source by some basic signals, like buzz signals, white noise, pink noise, triangular wave etc. By experiment, buzz signal has better performance, which makes sense because it is close to human glottal impulses. Then let the voice source passes through a low-pass filter before going into formant filters. Finally add a filter to simulate the radiation characteristics.

# Formant Synthesizer (1)

## Introduction

Synthesizers mainly fall into the following categories:

• Articulary Synthesizer

# First post

This is my personal blog built by Jekyll + disqus.