Noise Reduction of Speech Signal using Wavelet Transform with Modified Universal Threshold

21
Noise Reduction of Speech Signal using Wavelet Transform with Modified Universal Threshold Rajeev Aggarwal, Jai Karan Singh, Vijay Kumar Gupta, Sanjay Rathore, Mukesh Tiwari, Dr.Anubhuti Khare International Journal of Computer Applications (0975 – 8887) Volume 20– No.5, April 2011 Presenter Chia-Cheng Chen 1

description

Noise Reduction of Speech Signal using Wavelet Transform with Modified Universal Threshold. Rajeev Aggarwal , Jai Karan Singh, Vijay Kumar Gupta, Sanjay Rathore , Mukesh Tiwari , Dr.Anubhuti Khare International Journal of Computer Applications (0975 – 8887) - PowerPoint PPT Presentation

Transcript of Noise Reduction of Speech Signal using Wavelet Transform with Modified Universal Threshold

Page 1: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Noise Reduction of Speech Signal using Wavelet Transform with Modified Universal

ThresholdRajeev Aggarwal, Jai Karan Singh, Vijay Kumar Gupta,

Sanjay Rathore, Mukesh Tiwari, Dr.Anubhuti Khare

International Journal of Computer Applications (0975 – 8887) Volume 20– No.5, April 2011

Presenter Chia-Cheng Chen 1

Page 2: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Introduction

Multiresolution Analysis Using Filter Bank

Modifier Universal Threshold

Soft and Hard Thresholding

Results and Discussion

Outline

2

Page 3: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Background

3

Page 4: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Discrete-wavelet transform (DWT) based algorithm are used for speech signal denoising. Here both hard and soft thresholding are used for denoising.

Analysis is done on noisy speech signal corrupted

by babble noise at 0dB, 5dB, 10dB and 15dB SNR levels.

Introduction

4

Page 5: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

The DWT uses Multi resolution filter banks and special wavelet filters for the analysis and reconstruction of signals.

It analyse the signal at different frequency bands with different resolutions, decompose the signal into a coarse approximation and detail information.

Multiresolution Analysis Using Filter Bank

5

Page 6: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Two-level wavelet decomposition tree

Multiresolution Analysis Using Filter Bank

6

Page 7: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Two-level wavelet reconstruction tree

Multiresolution Analysis Using Filter Bank

7

Page 8: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Wavelet thresholding is applied to the approximation coefficient (Vn-1) and detail coefficients (Wn,Wn-1).

Multiresolution Analysis Using Filter Bank

8

Page 9: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

In this paper, we removed the babble noise from noisy signal which contain the noise contents of babble noise.

We want to find threshold value that will use to remove noise from noisy signal, but also recover the original signal efficiently.

Modifier Universal Threshold

9

Page 10: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Developed by Donoho and Jonstone and it is called as universal threshold

◦Where N denotes number of samples of noise and is standard deviation of noise.

Modifier Universal Threshold

10

Page 11: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Again Universal threshold was modified with factor “k‟ in order to obtain higher quality output signal:

Modifier Universal Threshold

11

Page 12: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

The soft and hard thresholding methods are used to estimate wavelet coefficients in wavelet threshold denoising.◦Hard thresholding◦ Soft thresholding

Soft and Hard Thresholding

12

Page 13: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Soft and Hard Thresholding

13

Thr=0.4

Z = (-1, 1, 100)

Page 14: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

We implemented babble noise removal algorithm in Matlab 7.10.0 (R2010a).

Speech signal is corrupted by babble noise at 0dB, 5dB, 10dB and 15dB SNR levels.

RESULTS AND DISCUSSION

14

Page 15: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

RESULTS AND DISCUSSION

15

Page 16: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

We choose 5-level DWT and db5 wavelet. Improved threshold value is obtained by replacing threshold “thr‟ (2) with

RESULTS AND DISCUSSION

16

Page 17: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

RESULTS AND DISCUSSION

17

Page 18: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

RESULTS AND DISCUSSION

18

Page 19: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

RESULTS AND DISCUSSION

19

Page 20: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

RESULTS AND DISCUSSION

20

Page 21: Noise Reduction of Speech Signal using Wavelet  Transform  with Modified Universal  Threshold

Speech denoising is performed in wavelet domain by thresholding wavelet coefficients.

We found that by using modified universal threshold, we can get the better results of de-noising, especially for low level noise.

RESULTS AND DISCUSSION

21