Sample_Exam2 - ECE 513 DIGITAL SIGNAL PROCESSING Cranos M Williams SAMPLE EXAM 2 NAME STUDENT ID 1 Spectral Estimation(20 Pts Consider the following

Sample_Exam2 - ECE 513 DIGITAL SIGNAL PROCESSING Cranos M...

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ECE 513 - DIGITAL SIGNAL PROCESSING Cranos M. Williams SAMPLE EXAM 2: NAME: STUDENT ID: 1.Spectral Estimation: (20 Pts)Consider the following signal:x(n) = cos(ω0(nn0))(1)USEFUL DTFT PROPERTIES:h(n)eonH(ωωo),Frequency Shifting Propertyh(nn0)H(ω)e-jωn0,Time Shifting Property(a) Draw the magnitude response ofX(ω) forπωπ(b) The signalx(n) is windowed by two windows, one of lengthL1and one of lengthL2. The main lobe of the magnitude response of window 1 is 4π/Land the mainlobe of the magnitude response of window 2 is 8π/L. The main lobe of the twowindowed sequencesx1(n) andx2(n), however, are the the same width.Statewhich of the following is true:L1> L2L1< L2L1=L2 1
ECE 513 - Exam 2: Name: Student ID: 2 1. (cont’d)
ECE 513 - Exam 2: Name: Student ID: 3

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