Please answer the following question related to the fast Fourier transform (FFT). Refer to Lab 7 for notes on how to perform the FFT with MATLAB.

1. You are given a data file sig1.dat that can be downloaded from the Web version of this assignment at
   http://www.eg.bucknell.edu/~kozick/elec32098/hw20.html
   The file contains discrete-time data that was obtained by sampling a continuous-time signal at the rate of 300 samples per second. The data can be loaded into MATLAB with the command

   load sig1.dat -ascii

   after which a variable named sig1 will be available. (The MATLAB command whos gives you a listing of all variables defined in the MATLAB workspace.)

   Suppose it is known that either two or four distinct sine waves are present in the data.

   • How many sine waves do you think are present in the data, two or four?

   • What are their frequencies, in hertz?

   • Is there a difference in amplitude among the sine wave components? If so, which frequency component(s) have the largest amplitude?

   Explain your reasoning.

Thank you.