114_1_sol_midterm_2009

114_1_sol_midterm_2009 - PoleZero Map 1 0.8 0.6 Imaginary...

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UCLA Dept. of Electrical Engineering EE 114, Winter 2009 Midterm Exam Instructions : Please do all work on exam, as partial credit will be given. If extra space is required, please staple sheets to exam. Also, please clearly mark your flnal answers. Good luck! 1. Figure 1 shows the spectrum of a steady state vowel. The sampling frequency is known to be F s =8 kHz. Figure 1: Spectrum of a steady state vowel. (a) Is the spectrum provided in Figure 1 an example of narrowband or wideband analysis? Please explain your answer. (b) What is the fundamental frequency of the speaker? Is the speaker most likely a male or female? (c) Assume a rectangular analysis window was used to obtain the spectrum in Figure 1. What is the duration of the window in seconds? (d) Table 1 provides average formant frequencies for a number of steady state vowels for male and female speakers. Based on your answer from part b , which of the vowels does the spectrum in Figure 1 most likely correspond to? 1
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Table 1: Average formant frequencies of steady state vowels for male and female speakers. Male Female Vowel F 1 F 2 F 1 F 2 U 440 Hz 1020 Hz 470 Hz 1160 Hz i 270 Hz 2290 Hz 310 Hz 2790 Hz a 730 Hz 1090 Hz 850 Hz 1220 Hz u 300 Hz 870 Hz 370 Hz 950 Hz " 530 Hz 1840 Hz 610 Hz 2330 Hz 2
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Answer : (a)
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