Practice+Exam+1_answers

Practice+Exam+1_answers - Practice Exam#1 Challenge 07...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Practice Exam #1 Practice Exam #1 Challenge 07 Practice Quiz #1 Short term calendar Wednesday – Exam #1 Friday – Project #1 due. Submission on the Summary Form .DOC (4 page limit). Submit Project #1 in class, no TA certification required. Monday – Project 1 interpretation.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Practice Exam #1 Challenge 07 A signal having a z-transform: X(z)=(1+0.4 2 z -1 )/(1- 0.8 2 z -1 + 0.64 z -2 ) is to be inverted into the discrete-time domain, namely x[k]. x[k] = A( a cos( φ 1 )+ b sin( φ 2 )); (A= α k ). What is x[k]?
Background image of page 2
Practice Exam #1 Challenge 07 Using the slacker friend, residuez : >> b=[1, 0.4*sqrt(2)]; a=[1, -0.8*sqrt(2), 0.64]; >> [R,p,C]= residuez (b,a) R = 0.5000 - 1.0000i 0.5000 + 1.0000i % Residues (Heaviside coefficients) p = 0.5657 + 0.5657i 0.5657 - 0.5657i % Pole locations C = [] >> Mp=abs(p') % pole magnitude Mp = 0.8000 0.8000 >> Ap=angle(p')/pi % phase angles x pi Ap = -0.2500 0.2500 ± π /4 0.8 90 ° 0.8 -90 ° or 90 ° , or f s /4
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Practice Exam #1 Challenge 07 Therefore: Refer to Table 1 of Lesson 7 (Inverse z-Transform) and Euler’s equation. 8 . 0 | | ; ) | 8 . 0 | 1 1 ) 1 5 . 0 ( ) | 8 . 0 | 1 1 ) 1 5 . 0 ( ) ( 1 4 / 1 4 / - - + - + = - - - z z e j z e j z X j j π ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 { } 4 / sin 2 4 / cos | 8 . 0 | ] [ 2 1 | 8 . 0 | ] [ | 8 . 0 | 1 5 . 1 5 . 0 ] [ 4 / 4 / 4 / 4 / 4 / 4 / k k k u e e j e e k u e j j k x k k j k j k j k j k k j k k j k + = - + + = - + = - - -
Background image of page 4
Practice Exam #1 Challenge 07 If you arre really lazy, you may have tried to perform a symbolic study as shown below. >> syms z >> f=(z^2 - (0.4*1.414)*z )/(z^2 -(0.8*1.414)*z + 0.64) f = (z^2-707/1250*z)/(z^2-707/625*z+16/25) >> iztrans(f) ans = sum(1/2*(1/_alpha)^n,_alpha = RootOf(625-707*_Z+400*_Z^2)) >> ?????????????? This answer is basically useless.
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Practice Exam #1 EEL 5525 Practice Exam #1 Fall 2011 Lectures 1-7 Name: ____________________________________ ID: _______________________________________ Instructions: Complete the exam on the space provided. When time is called, stop all work and follow the instructions provided. Any work that is not collected when called for will not be graded. The honor system will be strictly enforced. Allowed Open book Open notes Pocket calculators and laptops Figures and tables Internet access to Sakai (only) Disallowed Unauthorized Internet access Cell phones Exam Cover Sheet
Background image of page 6
Practice Exam #1 Question 1 x(t) ADC DAC Interpolator Playback f s x[k] y(t) Memory Record & Q1 : Sampling Theorem and Quantization You are to analyze the audio recording and playback system shown below. The input audio frequency range is f [0, 3.5] kHz. The listener’s hearing range is f [0, 8] kHz. The ADC operates at the programmable sample rate of f s = n8kHz, n an integer.
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Practice Exam #1 Question 1 a. What is the lowest sampling frequency f s that will insure that the original audio signal x ( t ) can be (theoretically) reconstructed from its time-series samples x [ k ], without aliasing?
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/18/2011 for the course EEL 5718 taught by Professor Janisemcnair during the Fall '11 term at University of Florida.

Page1 / 30

Practice+Exam+1_answers - Practice Exam#1 Challenge 07...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online