ECE 493
Univ. of Illinois
HW #0 Version 1.00 January 19, 2011
Due Thu, Jan. 25
Spring 2011
Prof. Allen
Topic of this homework: Evaluation exercises; Not graded. Deliverables: You best attempt at the questions. If you dont know, just say so. Im looking for
ECE 493
Univ. of Illinois
HW #8 Version 1.2 January 25, 2011
Due Tu, Jan 25
Spring 2011
Prof. Allen
Topic of this homework: Analytic functions of a complex variable; Deliverable: Please, show your work. 1. Complex functions: Domain: s + i , Range: Z (s) R
ECE 493
Univ. of Illinois
HW #8 Version 1.27 January 31, 2011
Due Tu, Jan 25
Spring 2011
Prof. Allen
Topic of this homework: Analytic functions of a complex variable; Deliverable: Please, show your work. A blue font indicates a changed from Version 1.0. F
ECE 493
Univ. of Illinois
HW #9 Version 1.21 January 27, 2011
Due Tu, Feb. 1
Spring 2011
Prof. Allen
Topic of this homework: Analytic functions: Integration of analytic functions; Cauchy integral formula; Riemann Sheets and Branch cuts; Region of Converge
ECE 493
Univ. of Illinois
HW #9 Version 1.31 February 11, 2011
Due Tu, Feb. 1
Spring 2011
Prof. Allen
Topic of this homework: Analytic functions: Integration of analytic functions; Cauchy integral formula; Riemann Sheets and Branch cuts; Region of Converg
ECE 493
Univ. of Illinois
HW #10 Version 1.1 February 9, 2011
Due Th, Feb 10
Spring 2011
Prof. Allen
Topic of this homework: Hilbert transform; Functions classes; Positive denite functions; Deliverable: Show your work.
1
Hilbert transforms
h(t) = et/0 u(t
ECE 493
Univ. of Illinois
HW #11 Version 1.2 February 11, 2011
Due Tues, Feb 15
Spring 2011
Prof. Allen
Topic of this homework: Convergence of transforms, ROC, Classication of systems (pole-zero placement). Deliverable: Show your work.
1
Convergence
1. If
ECE 493
Univ. of Illinois
HW #10 Version 1.6 February 18, 2011
Due Th, Feb 10
Spring 2011
Prof. Allen
Topic of this homework: Hilbert transform; Functions classes; Positive denite functions; Deliverable: Show your work.
1
Hilbert transforms
h(t) = et/0 u(
ECE 493
Univ. of Illinois
HW #12 Version 1.0 February 12, 2011
Due Tues, Feb 22
Spring 2011
Prof. Allen
Topic of this homework: Harder Laplace transforms Deliverable: Show your work.
1
Semi-periodic functions
1. Dene the somewhat weird notation:
f (t)T
n
ECE 493
Univ. of Illinois
HW #12 Version 1.0 February 21, 2011
Due Tues, Feb 22
Spring 2011
Prof. Allen
Topic of this homework: Harder Laplace transforms Deliverable: Show your work.
1
Semi-periodic functions
1. Dene the somewhat weird notation:
f (t)T
n
ECE 493
Univ. of Illinois
HW #1 Version 1.00 February 24, 2011
Due Thur, Mar 3
Spring 2011
Prof. Allen
Topic of this homework: LinearAlgebra(Inverse of matrix, Cramers law, Gauss elimination, computing determinant) Deliverables: You best attempt at the qu
ECE 493
Univ. of Illinois
HW #1 Version 1.00 March 15, 2011
Due Thur, Mar 3
Spring 2011
Prof. Allen
Topic of this homework: LinearAlgebra(Inverse of matrix, Cramers law, Gauss elimination, computing determinant) Deliverables: You best attempt at the quest
ECE 493
Univ. of Illinois
HW #2 Version 1.00 February 24, 2011
Due Thur, Mar. 10
Spring 2011
Prof. Allen
Topic of this homework: LinearAlgebra(Cauchy Schwartz inequality for n dimensional space. Eigenvalues and eigenvectors) Deliverables: Show your work.
ECE 493
Univ. of Illinois
HW #2 Version 1.00 March 15, 2011
Due Thur, Mar. 10
Spring 2011
Prof. Allen
Topic of this homework: LinearAlgebra(Cauchy Schwartz inequality for n dimensional space. Eigenvalues and eigenvectors) Deliverables: Show your work. Num
ECE 493
Univ. of Illinois
HW #3 Version 1.00 March 11, 2011
Due Thur, Mar. 17
Spring 2011
Prof. Allen
Topic of this homework: Rank-n-Span; Taylor series; Vector elds, Gradient Vector eld topics Deliverables: Show your work. Numerical results are not sucie
ECE 493
Univ. of Illinois
HW #3 Version 1.00 March 18, 2011
Due Thur, Mar. 17
Spring 2011
Prof. Allen
Topic of this homework: Rank-n-Span; Taylor series; Vector elds, Gradient Vector eld topics Deliverables: Show your work. Numerical results are not sucie
ECE 493
Univ. of Illinois
HW #3b Version 1.13 March 18, 2011
Due Tu., Mar. 29
Spring 2011
Prof. Allen
Topic of this homework: LinearAlgebra: Solutions of non-symmetric matrices (Tall and Fat), Singular value decomposition (SVD) Deliverables: Show your wor