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Phonetics Laboratory
Faculty of Linguistics, Philology, and Phonetics

Speech and Language Processing Seminar

Exercise 1

Complete the columns of the following table. Use e.g. the attached table of cosines, and/or a pocket calculator.

i i×17° cos(i×17°) 32000*cos(1×17°),
to nearest whole number
 0    1.0000  32000
 1  17°  0.9563  30603
 2  34°  0.8291  26534
 3  51°  0.6296  20148
 4  68°  0.3751  
 5  85°  0.0878  
 6  102°  -0.2070  
 7  119°  -0.4839  
 8  136°  -0.7185  
 9  153°  -0.8904  
 10  170°  -0.9845  
 11      
 12      
 13      
 14      
 15      
 16      
 17      
 18      
 19      
 20      
 21      
 22      
 23      
 24      
 25      
 26      
 27      
 28      

 

Exercise 2

On 1mm squared paper (available from the lab), plot 32000×cos(i*17°) on the shorter dimension against i on the longer dimension. (On A4 paper there are 28 10mm squares in this dimension). Hint: use a scale of 5000 units to 1 10mm square on the shorter dimension, with values in the range -35000 to +35000. Another way of phrasing this exercise is: sketch a cosine wave, taking samples at 17° intervals.