100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Instructor’s Guide to Accompany Digital Signal Processing: Fundamentals and Applications Part 2: Chapter 9 – Chapter 14 Lizhe Tan Jean Jiang $13.99   Add to cart
Quickly navigate to
Preview
  2.  
  3. Digital Signal Processing
  4.  
  5. Digital Signal Processing

Other

Instructor’s Guide to Accompany Digital Signal Processing: Fundamentals and Applications Part 2: Chapter 9 – Chapter 14 Lizhe Tan Jean Jiang
 3 views  0 purchase
  • Course
  • Digital Signal Processing
  • Institution
  • Digital Signal Processing

Instructor’s Guide to Accompany Digital Signal Processing: Fundamentals and ApplicationsnPart 2: Chapter 9 – Chapter 14 Lizhe Tan Jean Jiang

Last document update: 1 month ago

Preview 4 out of 96  pages

Document information

  • September 27, 2024
  • September 27, 2024
  • 96
  • 2024/2025
  • Other
  • Unknown

Subjects

Connected book

book image

Book Title:

Author(s):

  • Edition:
  • ISBN:
  • Edition:

More summaries for

All for this textbook (3)

Written for

  • Digital Signal Processing
  • Digital Signal Processing

Seller

avatar-seller
Topscorer

Reviews received

Content preview

Instructor’s
Tan andGuide to Accompany
Jiang’s Instructor’s Guide to Accompany to Digital Signal Processing 1
Digital Signal Processing: Fundamentals and Applications
Part 2: Chapter 9 – Chapter 14



Instructor’s Guide to Accompany

Digital Signal Processing: Fundamentals and Applications
Part 2: Chapter 9 – Chapter 14


Lizhe Tan
Jean Jiang

,Tan and Jiang’s Instructor’s Guide to Accompany to Digital Signal Processing 2




Chapter 9

9.1
dJ
 40  10  2 w  0 , w*  2
dw
J min  J |ww*  50  40w  10w2 |w1  50  40  2  10  22  10
9.2
dJ
 20  10  2w  0 , w*  1
dw
J min  J |ww*  15  20w  10w2 |w1  15  20  (1)  10  (1)2  5

9.3
dJ
 20  2  2 w  0 , w*  5
dw
J min  J |ww*  100  20w  2w2 |w1  100  20  (5)  2  (5) 2  50

9.4
dJ
 30  2  15w  0 , w*  1
dw
J min  J |ww*  10  30w  15w2 |w1  10  30 1  15 12  5

9.5
dJ
 40  20w
dw
dJ dJ
  0.04   40  20w0  |w0 0  1.6 , w1  w0    0   1.6   1.6
dw dw
dJ dJ
  0.04   40  20w1  |w1 1.6  0.32 w2  w1    1.6   0.32   1.92
dw dw
dJ dJ
  0.04   40  20w2  |w2 1.92  0.064 w3  w2    1.92   0.064   1.984
dw dw
J min  40  20w  10w2 |w0.992  50  40 1.984  10 1.9842  10.0026
w*  w2  1.984 , and J min  10.0026

9.6
dJ
 20  20w
dw
dJ dJ
  0.04   20  20 w0  |w0 0  0.8 , w1  w0    0   0.8   0.8
dw dw
dJ dJ
  0.04   20  20w1  |w1 0.8  0.16 w2  w1    0.8   0.16   0.96
dw dw

,Tan and Jiang’s Instructor’s Guide to Accompany to Digital Signal Processing 3


dJ dJ
  0.04   20  20w2  |w2 0.96  0.032 w3  w2    0.96   0.032   0.992
dw dw
J min  40  20w  10w2 |w0.992  15  20  (0.992)  10  (0.992)2  5.00064
w*  w3  0.992 , and J min  5.00064

9.7
dJ
 20  4 w
dw
dJ dJ
  0.2   20  4 w0  |w0 4  0.8 , w1  w0    4   0.08   4.8
dw dw
dJ dJ
  0.2   20  4 w1  |w1 4.8  0.16 w2  w1    4.8   0.16   4.96
dw dw
dJ dJ
  0.2   20  4 w2  |w2 4.96  0.032 w3  w2    4.96   0.032   4.992
dw dw
J min  100  20w  2w2 |w4.992  100  20  (4.992)  2  (4.992)2  5.0001
w*  w3  4.992 , and J min  5.0001

9.8
dJ
 30  30w
dw
dJ dJ
  0.02   30  30 w0  |w0  2  0.6 , w1  w0    2   0.6   1.4
dw dw
dJ dJ
  0.02   30  30 w1  |w1 1.4  0.24 w2  w1    1.4   0.24   1.16
dw dw
dJ dJ
  0.02   30  30w2  |w2 1.16  0.096 w3  w2    1.16   0.096   1.064
dw dw
J min  10  30w  15w2 |w1.064  10  30  (1.064)  15  (1.064) 2  4.93856
w*  w3  1.064 , and J min  4.93856

9.9
a.
y(n)  w0 x(n)  w1 x(n  1)
e(n)  d (n)  y (n)
w0  w0  0.2  e(n) x(n)
w1  w1  0.2  e(n) x(n  1)
b.
for n  0 : y (0)  0 , e(0)  3 , w0  1.8 , w1  1
for n  1 : y (1)  1.2 , e(1)  3.2 , w0  2.44 , w1  0.92
for n  2 : y (2)  5.8 , e(2)  4.8 , w0  0.52 , w1  0.04

, Tan and Jiang’s Instructor’s Guide to Accompany to Digital Signal Processing 4


c.
W  [0 0]T , X (n)  [ x(n) x(n  1)]T
1 0 
Q   
0 1 
  d (n)  X T (n)W
QX (n)
k
  X T (n)QX (n)
W  W  k
Q  [Q  kX T (n)Q]/ 
y ( n)  W T X ( n )
e(n)  d (n)  y (n)
d.

close all; clear all; clc
W=[0 0]'; X=[0 0]';
x=[3 -1 2]; d=[3 -2 1]; y=[];
lamda=0.96; delta=0.5;Q=eye(2)*delta;
for n=1:3
X=[x(n); X(1:1)];
alpha=d(n)-X'*W
k=Q*X/(lamda+X'*Q*X)
W=W+k*alpha
Q=(Q-k*X'*Q)/lamda
y(n)=W'*X
e(n)=d(n)-y(n)
end

n=0:
alpha = 3
k = 0.2747
0
W = 0.8242
0
Q = 0.0916 0
0 0.5208
y = 2.4725
e = 0.5275
n=1:
alpha = -1.1758
k = -0.0160
0.2723
W = 0.8429
-0.3201
Q = 0.0939 0.0260
0.0260 0.0994

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller Topscorer. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $13.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

77254 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling

Recently viewed by you

Exam (elaborations) ·

(0)

INCOSE ASEP- Success Sheet questions with 100% correct answers
$13.99
  • (0)
  Add to cart