Signals and Systems Analysis

Assignment on the Discrete Fourier Transform

April $14,2024$

Summary

This assignment involves writing a computer program in the C program$-$

ming language. It will read in a file of the values of a signal and then

calculate its Discrete Fourier Transform $($DFT$).$ The program will then

attempt to 'smooth out' the signal using a moving average and then re$-$

calculate the transform.

Throughout the following questions, the 'length of the record' is de$-$

noted by $N_2.$ The data you have generated from the spreadsheet 'Assignment$-$

data' will consist of $5$ columns of numbers. The first is the time value

and the next four are four distinct signals. You should copy and paste

this data into a plain text file to use as your input.

There are three parts to the assignment, be sure and answer the ques$-$

tions from all three parts.

Part $1$

Two values will be used for your calculations here; $N_2=N_1$ and $N_2=2N_1.$

Your program should carry out the following steps.