Using Matlab perform the following:

Electroencephalography $($EEG$)$ data has been uploaded as $(\text{'}$EEG$.$mat'$).$ Please load this data file into MATLAB and perform the following.

Each row of the variable is a different channel of recorded brain $/$ EEG data, and each

column represents a time point.

a$.$ Find the average value of the first column of the EEG variable.

b$.$ Using the find function, get the indices of all channels that have an initial value

above this average, and also the indices of all channels that have an initial value

below the average.

c$.$ In one figure, plot the channels of data with initial values above the average

$($calculated in $1$a$)$ in a red color, and the channels of data with initial values below

the average $($calculated in $1$a$)$ in a blue color.

i$.$ Plot all data across time using a 'time vector'. To create this, use the

'linspace' function, create to create a 'time vector' that starts with the loaded

'min$\_$time' and ends with the loaded 'max$\_$time' values.

ii$.$ Make sure to use proper labels for your plot axes.

iii. Hint: you may need to use the 'hold on$\text{'}$ command.

Brain $/$ EEG signals can be represented as a summation of sinusoidal waves at different

frequencies. Write code to prompt a user to input three frequencies of interest as a vector.

Next, request for the user to input three amplitudes of interest as a vector. For the plotting,

create a time vector with $1000$ points. Next, take this user input, and create the needed

sinusoidal signals using the following function $($HINT: use the help documentation to $1)$

see examples of how the 'sin' function can be used, and $2)$ assess what the 'sin' function

needs for an input & in what units; please also see 'EXTRA$\_$Week$\_4\_$Example.m$\text{'}$ code

on Blackboard for an example$)$:

Output $=A_{1}sin(2f_1)+A_{2}sin(2f_2)+A_{3}sin(2f_3)$

a$.$ Plot the three different sinusoidal signals using different colors.

b$.$ On the same figure, plot the 'Output signal' in blue and a linewidth of $2.$

c$.$ Make sure to include the labels for all axes and a figure legend.

Convert the code you wrote for items #$1$ and #$2$ above into functions. For the function

based on item #$2,$ instead of requesting user inputs in the command line, simply make them

required variables that the user provides as inputs to your function.

a$.$ HINT $/$ TIP: call $/$ execute your functions from either the command window or a

separate $.$m file to check if they are working $/$ taking inputs and performing the

needed processes.

b$.$ For full credit, the function$($s$)$ must be able to be used via executing them from a

single line of code $[$similar to all other functions used in the course so far!$]).$