ECE 310 University of Illinois at UrbanaChampaign Spring 2012
Profs. Do 85 Smaragdis Quiz 2
EOLUTIGNS
Problem 1 Let cfw_2:[71] E120 = cfw_13, 1, 0, 0, 2, 1 and assume that $[n] = 0 outside the specied interval.
Let _Xd(w) be the DTFT of n] and let X1 [i

Homework 12 solution
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1. Analyzing program

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Problem 1
A) The mode

Homework 9
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Abstraction and Algorith

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Note: For a clearer vie

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Boolean algebra and comb

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1. Design of Arithmetic

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1. Min-max using serial

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Sequential logic element

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/ Solutio
ECE 310 University of Illinois at UrbanaChampaign Spring 2012
Profs. Do & Smaragdis Quiz 1
Problem 1 Plot the signal :1:[n] Assume that u[n] is the unit-step function and 6 [n] is the discrete-
time unit impulse.
:c[n] = nu[n + 6]u[n 2]
u[n]

WK lgonome nc
, b = 3(14" ._ Fn)
Compact for real f)
42'
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s
@ Adjxacb'60) [\lt'vto) @ 2' ,
0 15 4wsol+wfw .
WW )5 mg g g; 5m We
@WD- 6.539.; t: 9! :1: @PTITI .
@FMXQEf Xai X c G, +2 I I I I I ~ Pro arty; _.
, Im
I Amvhvudvneennen W G0,; +.,.
u

Name:
Section:
ECE 310 University of Illinois at Urbana-Champaign Spring 2012
Profs. Do & Smaragdis Quiz 1 3
Problem 1 Given a. continuous time signal $(t) : cos(4507rt) +c03(2501rt)_ Suppose that we sample
this continuous-time at half of its Nyquist freq

(8 Pts.)
1. For each of the following questions, either circle the correct answer, or simply state the nal answer
in the space provided.
. (a) The ideal digital bandpass ltei is an FIRlte1.True/
(b) \Vhat is the output y[n of an LSI system with frequency

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Binary Representation and

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1. Assembly and lab

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Abstraction and Algori

Homework 1
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Introduction to C program

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Problem 1
1. State Defi

University of Illinois Spring 2017
ECE 313: Hour Exam I
Wednesday, March 1, 2017
8:00 pm. # 9:15 pm.
Last names AS in ECEB 1002; TZ in ECEB 1015.
Name: (in BLOCK CAPITALS) 3M A6311; QL
NetID: cfw_Qty/Ma 3;
Pseudonym: \m
Instructions
This exam is closed bo

University of Illinois
Spring 2017
ECE 310: Problem Set 7
1. (a) 2y[n + 2] = 2y[n] 4x[n + 2] 2x[n + 1]
y[n] = y[n 2] = 2x[n] x[n 1]
(b) flow diagram is:
(c) Take the z-transform,
Y (z) = z 2 Y (z) 2X(z) z 1 X(Z)
(1 z 2 )Y (z) = (2 z 1 )X(z)
H(z) =
2.
Y (

University of Illinois
Spring 2017
ECE 310: Problem Set 6
1.
a)
y[n] = x[n]h[n] =
n
X
1 1
1 X m
u[n] 1 2n+1
u[n](2n+1 1)
( )( )nm u[nm] = u[n]
2
=
=
3 2
3 2n
3 2n 1 2
3 2n
m=0
m=0
Take the z-transform, X(z) =
H(z) =
z
3(z1)
1
1 12 z 1
1
3(1z 1 )(1 21 z 1

ECE 310: Recitation (Week 4)
Problem 1. Determine the DFT of the sequence x[n] = [n] of length N (x[n] = [n] for n
cfw_0, 1, . . . , N 1).
b
1
b
b
b
b
b
1
2
3
4
5
0
0
Figure 1: Example of x[n] for N = 6
Solution: We compute by definition
X[k] =
N
1
X
x[n