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

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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 age limit) Submit Project #1 in class no TA certification required page limit). Submit Project #1 in class, no TA certification required. Monday – Project 1 interpretation. Practice Exam #1 hallenge 07 Challenge 07 signal having a z ansform: 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]. [k] A( ( b i ( x[k] = A( a cos( 1 )+ b sin( 2 )); (A= ). What is x[k]? Practice Exam #1 hallenge 07 Challenge 07 sing the slacker friend Using the slacker friend, residuez : >> b=[1, 0.4*sqrt(2)]; a=[1, -0.8*sqrt(2), 0.64]; > [R p C]= siduez a) >> [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 = .8 0 C [] >> Mp=abs(p') % pole magnitude Mp = 0.8 90 0.8000 0.8000 >> Ap=angle(p')/pi % phase angles x pi Ap = - 2500 0 2500 0.8 -90 r 90 or f Practice Exam #1 0.2500 0.2500  /4 or 90 , or f s /4 hallenge 07 Challenge 07 Therefore: 1 ) 1 5 . 0 ( 1 ) 1 5 . 0 ( j j Refer to Table 1 of Lesson 7 (Inverse z-Transform) and Euler’s equation. 8 . 0 | | ; ) | 8 . 0 | 1 ) | 8 . 0 | 1 ) ( 1 4 1 4 / z z e z e z X  ] [ | 8 . 0 | 1 5 . 0 ] [ | 8 . 0 | 1 5 . 0 ] [ 4 / 4 / k u e j k u e j k x k j k k j k ] [ 1 | 8 . 0 | 4 / 4 / 4 / 4 / k u e e j e e k j k j k j k j k    4 / sin 2 4 / cos | 8 . 0 | 2 k k k Practice Exam #1 hallenge 07 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 = ^2 07/1250* )/( ^2 07/625* +16/25) (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. Practice Exam #1 EEL 5525 Practice Exam #1 all 2011 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 pen notes Open notes Pocket calculators and laptops Figures and tables ternet access to Sakai (only) Exam Cover Sheet Internet access to Sakai (only) Disallowed Unauthorized Internet access Cell phones Practice Exam #1 p uestion 1 Question 1 1 Sampling Theorem and Quantization Q1 : Sampling Theorem and Quantization You are to analyze the audio recording and playback system shown below. he input audio frequency range is 3 5] z The listener’s hearing 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.

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

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