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ADAPTIVE ACTIVE CONTROL OF SOUND
IN SMART ROOMS
DR. IMAN ARDEKANI
This Presentation
Introduction2
Stabilization of ANC in Smart Rooms3
1 Background
Remote Acoustic Sensing in Smart Rooms4
Experiments5
Conclusion and Future Work6
2
Background
Why ANC in Smart rooms:
① Evolving technological approaches
② Future of living rooms, hospital rooms
office rooms & class rooms
③ Research with impact
Smart Rooms
3
Background
① Interesting theory in Physics
② Interesting theory in Control Engineering
③ High-tech design & implementation, e.g.
FPGA, DSP
④ New challenges (when integrated
with smart rooms)
Active Noise Control
4
Background
Active Noise Control / Smart Sensor Networks for Passenger Cars
Professional Research on ANC and Smart Rooms
- Founder of Unitec Smart Rooms
- Adaptive ANC in Smart Rooms
- Finalist of IBM Innovation Award 2014
PhD & FRDF Postdoctoral Research on Adaptive ANC
- More than 30 journal/conference papers on ANC
- International research collaboration
- Nominated for UoA Top Doctoral Thesis Award (by FoE)
5
INTRODUCTION
Smart Rooms Adaptive ANC Challenges
6
Enhancing
Quality of Life
in Smart Living Rooms
7
Enhancing
Human Productivity
in Smart Office Rooms
8
Enhancing
Quality of Care
in Smart Hospital Rooms
9
Enhancing
Quality of Learning
in Smart Class Rooms
10
AdaptiveANCinSmartRooms–ByImanArdekani
Smart Rooms’ Structure - Proposed
Acoustic
Sig Pro
Medical
Sig Pro
Features
Room BookRoom Book
Features
Intelligent
Agents
Robots
Room Book
Room Book
11
AdaptiveANCinSmartRooms–ByImanArdekani
This Seminar Focus
Acoustic
Sig Pro
Medical
Sig Pro
Room BookRoom Book
Intelligent
Agents
Robots
Room Book
Room Book
Features
12
AdaptiveANCinSmartRooms–ByImanArdekani
Why ANC in Smart Rooms?
Acoustic
Sig Pro
Intelligent
Agents
Noise
Why Noise Control?
1. Human productivity (especially in open plan office rooms)
2. Quality of life (more pleasant rooms)
3. Quality of interaction between smart room and occupants (speech)
Why not Passive Noise Control?
• Passive Noise Control is bulky and inefficient for low frequency.
13
AdaptiveANCinSmartRooms–ByImanArdekani
ANC in Smart Rooms
Acoustic
Sig Pro
Intelligent
Agents
Noise
Residual Noise
Noise
Anti-Noise
1) can not be measured.
2) and are unknown dynamic systems.
P
S
P
S
14
AdaptiveANCinSmartRooms–ByImanArdekani
ANC Stability
1 2 3
Uncertainty
Stability
Low Moderate High
1
2
3
Traditional ANC algorithms suffer
low robustness in real-life applications.
15
AdaptiveANCinSmartRooms–ByImanArdekani
Acoustic Sensing in ZoQ
- It is essential to place an Error Microphone (Err Mic.) in the desired quiet zone to
sense the residual noise.
- The size of the quiet zone is very limited.
- Can we use one of the smart room’s built-in microphone instead?
- If we can, then
- 1) more effective use of space in the quiet zone
- 2) more cost effective hardware design
10 dB ZoQ
Noise
P
S
𝜆
20
Err Mic
17
STABILIZATION OF ANC IN
SMART ROOMS
Root Locus
(RL) Method
ANC RL Plots
Stabilization
Process
18
AdaptiveANCinSmartRooms–ByImanArdekani
Numerical
methods
Root Locus Method
Char Eq.
𝐵 𝑧 = 0
LTI Digital
Systems
Numerical
methods
x
x
x
z-plane
𝐺(𝑧) 𝐺(𝑧)
Char Eq.
𝐵(𝑧) + 𝑘𝐴(𝑧) = 0
RL
𝑘 = 0
✗
𝐺 𝑧 =
𝑎0 + 𝑎1 𝑧 + 𝑎2 𝑧2
+ ⋯
𝑏0 + 𝑏1 𝑧 + 𝑏2 𝑧2 + ⋯
𝐺 𝑧 =
𝐴(𝑧)
𝐵(𝑧) 𝐻 𝑧 =
𝐺(𝑧)
1 + 𝑘𝐺(𝑧)
=
𝐴(𝑧)
𝐵(𝑧) + 𝑘𝐴(𝑧)
𝑘
𝑘 = ∞
x
x
z-plane
x
x
19
AdaptiveANCinSmartRooms–ByImanArdekani
2
1
Root Locus Methods
LTI Digital
Systems
Char Eq.
𝐵(𝑧) + 𝑘𝐴(𝑧) = 0
RL
𝐺(𝑧) 𝐺(𝑧)
𝑘
Char Eq.
𝐵 𝑧 = 0
Numerical
methods
x
x
x
z-plane
𝐺 𝑧 =
𝑎0 + 𝑎1 𝑧 + 𝑎2 𝑧2
+ ⋯
𝑏0 + 𝑏1 𝑧 + 𝑏2 𝑧2 + ⋯
𝐺 𝑧 =
𝐴(𝑧)
𝐵(𝑧) 𝐻 𝑧 =
𝐺(𝑧)
1 + 𝑘𝐺(𝑧)
=
𝐴(𝑧)
𝐵(𝑧) + 𝑘𝐴(𝑧)
x
z-plane
x
x𝑘 = 0
𝑘 = ∞
x
20
AdaptiveANCinSmartRooms–ByImanArdekani
Root Locus Method
1
LTI Digital
Systems
2
Char Eq.
𝐵(𝑧) + 𝑘𝐴(𝑧) = 0
21
AdaptiveANCinSmartRooms–ByImanArdekani
𝐴(𝑧)
ANC RL Plots
• Adaptation process performed by the FxLMS in adaptive ANC is a
recursive and non-linear process.
• However, by using the Independence Assumptions, a linear
approximation for the FxLMS adaptation process can be obtained.
• FxLMS stability is highly related to the adaptation step-size k so a
stability analysis w.r.t. k is needed.
𝑧 𝑄 − 𝑧 𝑄−1 + 𝑘 𝑃𝑥
𝑚=𝑞
𝑄−1
𝑠 𝑚
2
𝑧 𝑄−1−𝑚 = 0
𝐵(𝑧)
2
Char Eq.
𝐵(𝑧) + 𝑘𝐴(𝑧) = 0
1
LTI Digital
Systems
𝑘 is an available parameter but 𝐴(𝑧) and
𝐵(𝑧) do not physically exist .
𝑞 𝑄 − 1
Room impulse response
Amplitude
Time index
𝑠 𝑞
𝑠 𝑄−1
noise power.
22
AdaptiveANCinSmartRooms–ByImanArdekani
ANC RL Plots
𝐴(𝑧) coefficients are
always positive .
𝐴(𝑧)
𝑧 𝑄
− 𝑧 𝑄−1
+ 𝑘 𝑃𝑥
𝑚=𝑞
𝑄−1
𝑠 𝑚
2
𝑧 𝑄−1−𝑚
= 0
𝐵(𝑧)
𝐵 𝑧 = 𝑧 𝑄
− 𝑧 𝑄−1
Typical Trajectories for
the FxLMS Root Locus
(independent of the room acoustics)
23
AdaptiveANCinSmartRooms–ByImanArdekani
ANC RL Plots
z-plane
Start points of ANC RL are
located at the roots of B(z).
B(z)=zQ-z Q-1
Q-1 start points at the origin
and 1 start point at z=1.
z=0
z=1
24
AdaptiveANCinSmartRooms–ByImanArdekani
ANC RL Plots
z-plane
The real interval of (0,1) belongs
to the ANC RL.
25
AdaptiveANCinSmartRooms–ByImanArdekani
ANC RL Plots
z-plane
𝑥 𝐵
B1
B2
There is always a breakaway
point on (0,1), given by
𝑥 𝐵 =
𝐷 𝑒𝑞
𝐷 𝑒𝑞+1
.
(close to z=1)
26
AdaptiveANCinSmartRooms–ByImanArdekani
ANC RL Plots
z-plane
𝑥 𝐵
B1
B2
B4
B3
There are still Q-2 start points
at the origin:
B3, B4 … BQ starts from the
origin, moving towards their end
points (can take any shapes).
27
AdaptiveANCinSmartRooms–ByImanArdekani
ANC RL Plots
z-plane
𝑥 𝐵
B1
B2
B4
B3
o
o
to infinite end points
to infinite end points
Finite End Points at roots of A(z).
A(z) coefficients: sq
2: positive
so all the finite end points are in
the left side of Imaginary axis.
28
AdaptiveANCinSmartRooms–ByImanArdekani
ANC RL Plots
z-plane
𝑥 𝐵
B4
B3
o
o
increasing 𝑘
k=0
B1
B2
29
AdaptiveANCinSmartRooms–ByImanArdekani
Stabilization Process
z-plane
𝑥 𝐵
B1
B2
B4
B3
o
o
The root moving on B1
- is closest root to the critical
point z=1.
- is dominant!
30
AdaptiveANCinSmartRooms–ByImanArdekani
Stabilization Process
z-plane
𝑥 𝐵
B1
B2
B4
B3
o
o
The short distance of this root
from z=1 restricts the stability
margin of adaptive ANC.
31
AdaptiveANCinSmartRooms–ByImanArdekani
Stabilization Process
z-plane
𝑥 𝐵
B1
B2
B4
B3
o
o
Can we detour B1 so that it
can go further from the critical
point ?
32
AdaptiveANCinSmartRooms–ByImanArdekani
Stabilization Process
z-plane
𝑥 𝐵
B1
B2
B4
B3
o
o
How?
By introducing a RL end point
in (0,1): a new root for A(z):
A(z)⟶(z-ξ)A(z)
33
AdaptiveANCinSmartRooms–ByImanArdekani
Stabilization Process
A(z)⟶(z-ξ)A(z)
z-plane
B1
o
𝑥 𝐵
B2
B4
B5
o
o B3
𝝃
A(z)⟶(z-ξ)A(z)
34
AdaptiveANCinSmartRooms–ByImanArdekani
Stabilization Process
Modified RLOriginal RL
𝑥 𝐵
B1
B2
B4
B5
o
o
B1
o
B2
B4
B3
o
o B3
𝝃
35
AdaptiveANCinSmartRooms–ByImanArdekani
Stabilization Process
• 𝐴(𝑧) ⟶ (𝑧 − 𝜉)𝐴(𝑧)
• but 𝐴(𝑧) is not an actual systems.
Room Impulse
Response
x
Ref Mic.
Err Mic.
+
Current Filter
Parameters
Updated Filter
Parameters
C(z)
Compensator
𝐶 𝑧 =
1 − 𝜉
1 − 𝜉𝑧−1
36
STABILIZATION OF ANC IN
SMART ROOMS
Summary
• A novel method based on RL theory is developed.
• RL analysis of the adaptation process leads to develop new adaptive ANC algorithms.
• The new algorithms show good stability behavior in smart rooms.
• It is proved mathematically.
• Simulation and practical results support the theoretical findings.
37
REMOTE ACOUSTIC SENSING
IN SMART ROOMS
ANC Analysis
in Acoustic Domain
Remote ANC
Systems
38
AdaptiveANCinSmartRooms–ByImanArdekani
Error Microphone Location
𝜆
20
Traditional ANC
Problems:
- very small zone of quiet
- space occupied by the error mic
10 dB ZoQ 10 dB ZoQ
Advantage:
- effective use of space in quiet zones
- Effective use of smart room
hardware resources
Remote ANC (proposed)
e(n) e(n)
39
AdaptiveANCinSmartRooms–ByImanArdekani
ANC Analysis in Acoustic Domain
𝑊𝑜𝑝𝑡
𝑊𝑜𝑝𝑡 𝑧 =
𝑈 𝑥(𝑧)
𝑈 𝑦(𝑧)
𝐾𝑥𝑦 𝑧−∆ 𝑥𝑦
x(n)
Ref Mic
Lx
y(n)
Control Source
Ly
Lx
Ly
Lo
𝑑 𝑦
𝑑 𝑥
𝜑 𝑦Lr
𝑑 𝑟
e(n)
Lo
Err Mic (ZoQ)
40
AdaptiveANCinSmartRooms–ByImanArdekani
ANC Analysis in Acoustic Domain
• Since 𝑈 𝑥(𝑧) and are 𝑈 𝑦(𝑧) unknown, we cannot implement 𝑊𝑜𝑝𝑡 𝑧 directly
but The FxLMS algorithm can adaptively adjust the adaptive filter to an estimate
of 𝑊𝑜𝑝𝑡 𝑧 .
𝑊𝑜𝑝𝑡 𝑧 =
𝑈 𝑥(𝑧)
𝑈 𝑦(𝑧)
𝐾𝑥𝑦 𝑧−∆ 𝑥𝑦
Room Impulse
Response
x
Ref Mic.
Err Mic.
+
Current Filter
Parameters
Updated Filter
Parameters
⟶ 𝑊𝑜𝑝𝑡 𝑧
FxLMS Algorithm
41
AdaptiveANCinSmartRooms–ByImanArdekani
ANC Analysis in Acoustic Domain
Px(n) e(n)
FxLMS
S
Control System
W
42
AdaptiveANCinSmartRooms–ByImanArdekani
Remote Active Noise Control
y(n)
Ly
y-axis+
x-axis+
Lr
𝑊𝑜𝑝𝑡
e(n)
Lo
x(n) Lx
Lx
Ly
Lo
𝑑 𝑦
𝑑 𝑥
𝜑 𝑦Lr
𝑑 𝑟
𝑑 𝑥𝑟
𝑑 𝑦𝑟
𝑊𝑜𝑝𝑡(𝑧) = 𝑊𝑜𝑝𝑡(𝑧)𝐾𝜌 𝑧−∆ 𝜌
Static gain Time-delay
43
AdaptiveANCinSmartRooms–ByImanArdekani
Remote Active Noise Control
𝑊𝑜𝑝𝑡(𝑧) = 𝑊𝑜𝑝𝑡(𝑧)𝜌(𝑧)
known
unknown
Px(n) e(n)
FxLMS
S
Control System
Remote ANC
Algorithm
W 
44
AdaptiveANCinSmartRooms–ByImanArdekani
Remote Active Noise Control
Room Impulse
Response
x
Ref Mic.
Err Mic.
+
Current Filter
Parameters
Updated Filter
Parameters
⟶ 𝑊𝑜𝑝𝑡 𝑧
FxLMS-based
Remote ANC Algorithm
+∆𝑒(𝑛)
−
45
AdaptiveANCinSmartRooms–ByImanArdekani
Remote Active Noise Control
𝑊𝑜𝑝𝑡(𝑧) = 𝑊𝑜𝑝𝑡(𝑧)𝜌(𝑧)
known
unknown
Px(n) e(n)
FxLMS
S
Control System
Remote ANC
Algorithm
W 
-
Room Impulse
Response
∆𝑒(𝑛)
46
EXPERIMENTS
Setup Results
47
AdaptiveANCinSmartRooms–ByImanArdekani
Experimental Setup
Noise
P
S
NI CRIO
Smart Room Mic
(Err Mic)
Smart Room Mic
(Ref Mic)
Real-time Software
(FPGA Design)
48
AdaptiveANCinSmartRooms–ByImanArdekani
Experimental Results – Remote ANC
10 cm
Initial noise level
Final noise level
Learning Room Acoustics
49
AdaptiveANCinSmartRooms–ByImanArdekani
Experimental Results – Stability
FxLMS
50
FwFxLMS
CONCLUSION
Contributions Future Work
51
Contributions
Investigated practical problems with adaptive ANC2
Moved towards the integration of ANC into Smart Rooms3
1 Improved the theoretical understanding of ANC
Developed a flexible and high-performance experimental setup for ANC4
Published the results in high ranking journals5
Made international collaboration6
52
AdaptiveANCinSmartRooms–ByImanArdekani
Future Work – ANC In Medical Devices
MRI
Incubator
Hearing Aids
53
Other devices
AdaptiveANCinSmartRooms–ByImanArdekani
Future Work – Smart Rooms
Acoustic
Sig Pro
Medical
Technology
Room Book
Intelligent
Agents
- Smart Hospital Rooms
- Smart Assistive Rooms (for elderly and people with disabilities )
54

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Adaptive Active Control of Sound in Smart Rooms (2014)

Editor's Notes

  1. Good morning everyone. Thank you for being here and thank you for giving me the opportunity of talking about my research. My name is Iman. I am a graduate of UoA electrical engineering department. BSc… MSc… both from… PhD... Then I did a FRDF postdoc. Currently, I am working as a research fellow there. Also, I am working with Unitec. What I am doing is research and teaching in the field of embedded systems, computer vision, robotics and acoustic signal processing. Well… this seminar title is “Adaptive Active Control of Sound in Smart Rooms” or adaptive active noise control in smart rooms, or we can say “adaptive ANC in smart rooms”. Shortly, I will tell you why I have chosen this topic.
  2. I have put SMART ROOMS as 1 of the 2 components of this seminar for some reasons. I would like to look at ANC in smart rooms because smart rooms are evolving technological approaches for improving human life. They are future of living rooms, hospital rooms, office rooms and even classrooms. Also because I can introduce my other research interests while introducing smart rooms. In addition to these, smart rooms are where we can show the impacts of our engineering research on NZ society. There are important factors like quality of life for people in living places, quality of care for patients in hospitals and human productivity for companies and several other factors. Everyone is looking at this factors. Even NZ government looks at all of these factors. In this situation, we need to show the impact of our engineering research on these factors. I believe that smart rooms are very flexible and reliable frameworks for this purpose and for creating Research with Impact.
  3. I have different ongoing research on smart rooms by my self or by my students. For example, fall detection in smart rooms that is useful for elderly and people with disabilities. Or RoomBook which is something similar to Facebook. This is a knowledge-based web application for sharing information between smart rooms. Or Robotic applications in smart rooms. Or using computer vision for improving the performance of physiotherapy at home. I could have chosen them but I have chosen ANC for some reasons. ANC has an interesting theory in Physics. Also, it has an interesting theory in control and signal processing engineering. It needs high-tech design and implementation, technologies like FPGA, DSP and so on. Also, when we want to introduce ANC to smart rooms we will face new theoretical challenges. Theoretical challenges that can affect the operation of ANC in practice. Dealing with these challenges are the main concern of this presentation.
  4. My first experience with ANC goes back to about 10 years ago when I was working for PEGEOT and BMC. I was working on ANC for passenger cars and also smart sensor networks for cars. In BMC, I was working on active suspension for commercial vehicles. Active Suspension is similar to active noise control. Then, both of my PhD and Postdoc research were on ANC. I published more than 30 papers on ANC and run several workshops and tutorial word wide. I need to emphasis that this is not my only area that I have published on. I have other areas for my publications such as power systems, electro-mechanic energy conversion and so on. We have made an international collaboration with different universities, specially in Japan and in Singapore. Recently, I have founded Unitec Smart Room. Unitec smart room is a collection of research areas like robotic, image processing, acoustical signal processing, knowledge based systems and sensor networks technologies. and I have kept adaptive ANC research as a part of this collection. Also, due to my research on smart rooms, I have been chosen as the finalist of IBM innovation award in NZ. The winner will be introduced this Thursday.
  5. Use a section header for each of the topics, so there is a clear transition to the audience.
  6. This is another option for an overview using transitions to advance through several slides.
  7. Talk about energy management Other devices energy management
  8. This seminar is not about …. Although it is within my research interests.
  9. This seminar is not about …. Although it is within my research interests.
  10. Use a section header for each of the topics, so there is a clear transition to the audience.
  11. Use a section header for each of the topics, so there is a clear transition to the audience.
  12. Use a section header for each of the topics, so there is a clear transition to the audience.