1. Husheng Li, UTK-EECS, Fall 2012

2.  Fourier transform is used to study the frequency spectrum of signals.  Basically, it says that a signal can be represented by the sum of a series of sinusoidal functions.

3.  Suppose the input signal is sinusoidal:  Then, the output is also sinusoidal, given by where

5. H(f1)H(f2)H(f3) H(f_ n-1) H(f_ n) input output … f1 f2f3 f_n-1 f_n system

6.  Consider the frequency response of MA system

7.  Many continuous signal can be represented by a Fourier integral of the form: where

11.  Linearity  Time/frequency shifting  Time reversal  Differentiation  Parsevals’ theorem  Convolution  Modulation

12.  Read 2.6 – 2.9  Homework: 2.26, 2.30, 2.37, 2.47