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Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

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Page 1: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Active Noise Cancellation System

Students:Jessica Arbona & Christopher Brady

Advisors:Dr. Yufeng Lu

Page 2: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Outline

Goal Adaptive Filters

What is an adaptive filter? Four Typical Application of Adaptive Filter How Adaptive Filters works

Ultrasound Data Data Collection Filter Results

Speech Data Filter Simulation

Summary Future Plans

Page 3: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Goal

The goal of the project is to design and implement an active noise cancellation

system using an adaptive filter.

Page 4: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

What is an Adaptive Filter?

An adaptive filter is a filter that self-adjusts its transfer function according to an optimization algorithm driven by

an error signal.

Page 5: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Four Typical Applications of Adaptive Filter

Adaptive System Identification Adaptive Noise Cancellation

Adaptive Prediction Adaptive Inverse

Page 6: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

How Adaptive Filters Works

Cost Function

Wiener-Hopf equation

Least Mean Square (LMS) Recursive Least Square (RLS)

dXXXopt rRf 1

)}({ 2 neEJ

Page 7: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

LMS implementation

Widrow-Hoff LMS Algorithm

)()(2)( nXnen

)(2

)()1( nnfnf

)()()()1( nXnenfnf

Page 8: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Convergence of LMS

)0(3

20

XXrL

Page 9: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

RLS implementation

)()()()1( nXnXnRnR TXXXX

)1()1()1( 1 nrnRnf dXXX

)()()()1( nXndnrnr dXdX

Page 10: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Ultrasound Data Processing

Ultrasonic Measurement System

Page 11: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Hardware

Page 12: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Variable.m

Page 13: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Xilinx’s block- ROM

Page 14: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Loading the Variables

Page 15: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Hardware Design without Adaptive Filter

Page 16: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Preliminary Results

Hardware Simulation Software Simulation

Page 17: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Hardware SimulationXtremeDSP- Virtex 4

Preliminary Results

Page 18: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Hardware Design with Adaptive Filter

Page 19: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Hardware Design of the Adaptive Filter

Page 20: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Tap

Page 21: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

XtremeDSP Development Kit – Virtex-4 Edition

Key Features:•Xilinx Devices•Two Independent DAC Channels•Support for external clock, on board oscillator

Page 22: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Progressive Results of the Input Signal [x] & Output Signal

[y]XtremeDSP- Virtex 4 Simulation

Page 23: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Speech Data Processing

MATLAB simulation with L = 10 LMS RLS

MATLAB simulation with L = 7 RLS

Page 24: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Speech Data

Recorded Voice SignalRecorded Engine Noise

05.0

10L

kHzf s 5.22

Page 25: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Noise and Desired signal

Figure 1: Desired Signal

Figure 2: Noise Signal

Figure 3: Reference Signal

Page 26: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Spectral Analysis of Noise and Desired

Figure 4: Spectrum of Desired Signal

Figure 5: Spectrum of Noise Signal

Figure 6: Spectrum of Reference Signal

Page 27: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

LMS filter coefficients

Page 28: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Desired and Recovered signal from LMS

Figure 7: Desired Signal and Recovered Signal

Figure 8: Spectrum of Desired and Recovered Signals

Page 29: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

RLS Filter Coefficients with L = 10

Page 30: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Desired and Recovered signal from RLS

with L = 10

Figure 9: Desired Signal and Recovered Signal

Figure 10: Spectrum of Desired and Recovered Signals

Page 31: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

RLS Filter Coefficients with L = 7

Page 32: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Desired and Recovered from RLS withL = 7

Figure 11: Desired Signal and Recovered Signal

Figure 12: Spectrum of Desired and Recovered Signals

Page 33: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Summary

To Be complete How mu changes the

system performance Comparison of

Different FIR filter structure

Implement on SignalWave board

Hardware calculation for mu value

RLS hardware implementation

Completed Speech data

simulation LMS RLS

LMS hardware implementation.

Page 34: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

ScheduleFall Schedule

Date Milestone

  Jessica Christopher

Thursday, November 17 Different FIR Form / Proposal Work on Mu value / Proposal

Thursday, December 1 Different FIR Form Work on Mu value

Spring Schedule

Date Milestone

  Jessica Christopher

Thursday, January 19 Signal Wave Board Research on Acoustic Noise Suppression

Thursday, January 26    

Thursday, February 2 Hardware Calculation for Mu Design and Simulate Noise Suppression System

Thursday, February 9    

Thursday, February 16 RLS hardware Design with Matrix Inversion  

Thursday, February 23   Testing of Noise Suppression System

Thursday, March 1    

Thursday, March 8 Implementation Noise Suppression System

Thursday, March 22    

Thursday, March 29    

Thursday, April 5    

Thursday, April 12 Preparing for Final Report

Thursday, April 19    

Thursday, April 26    

Page 35: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

Reference

[1] D. Monroe, I. S. Ahn, and Y. Lu, “Adaptive filtering and target detection for ultrasonic backscattered signal”, IEEE International Conference on Electro/Information Technology, May 20-22, 2010, Normal, Illinois.

Page 36: Active Noise Cancellation System Students: Jessica Arbona & Christopher Brady Advisors: Dr. Yufeng Lu

QUESTIONS?