MATH 416
Extra credit
The signal given in the txt le represents the blood ow measurements of a patient. It is a part of a
long sequence of measurements; its beginning corresponds to the time moment when the blood pressure
cu was released (assuming it had
MATH 416
HOMEWORK 5
due April 5th, in class
Problem 1
2
(a) Find the Fourier transform of the function f (x) = ex ex ;
(b) Find the Fourier series of the following function f (x) = x2 on [1, 1].
Problem 2
1
Show that for functions from Lipper [0, 1)(perio
MATH 416
HOMEWORK 4
due Tue, March 27th in class
Problem 1
Find the Fourier transforms of the following functions:
(a) f (x) = ex [0,+) (x) (here [0,+) (x) = 1 if x 0 and 0 otherwise);
(b) f (x) = e|x| ;
(c) f (x) = sinc2 (x) (same as f (x) = (sinc(x)2 ).