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Unformatted text preview: tract transfer function j H ( ! ) j is shown as a dashed line. (a) Suppose the sampling rate is F s = 8 kHz. What is F 1 in Hz? (b) If a rectangular analysis window was used during spectral analysis, what is the dura-tion of the window in seconds? (Assume that F s = 8 kHz.) (c) Suppose F 1 = 400 Hz, and you are not given the sampling rate. What is the pitch frequency in Hz? Is the speaker more likely to be a male, female, or child? Why? 1 Figure 1: The spectrum of a steady-state vowel. 5. The Fourier Transform can be expressed as: X n ( ! ) = a n ( ! ) jb n ( ! ) = j X n ( ! ) j e j n ( ! ) (5) If x ( n ) is real, nd the relationship between the following: (a) a n ( ! ) and a n ( ! ) (b) b n ( ! ) and b n ( ! ) (c) j X n ( ! ) j and j X / n ( ! ) j (d) n ( ! ) and n ( ! ) Also, express j X n ( ! ) j in terms of a n ( ! ) and b n ( ! ). 2...
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