Find sampling interval - horizontal and vertical asymptote, Mathematics

In a digital filter, one of the parameters in its difference equation is given by the formula

1637_Find Sampling Interval.png

a) Show that the above formula has one horizontal and one vertical asymptote.

b) show that the graph of 11 against x passes through the origin'

c) By attempting to find the turning points of the above function, show that there aren't any.

d) Sketch the graph of Y against x.

e) From the resulting sketch, find:

i) The value that y approaches to whenever r increases to a very large number.

ii) The sampling interval T if, as the parameter y increases, x is required to approach the value -2.

Posted Date: 3/2/2013 7:35:09 AM | Location : United States







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