from different sleep stages $($data$1,...,$ data$5)$ and the sampling rate $($fs$).$ You will hand in a

report and all files related to your code $($functions$,m-$file, data etc.$).$

Solve the following problems and add the results to your report. The report should include

every plot requested in the problems. Make sure to add titles to your plots.

Use Fourier transform to obtain the frequency spectrum for each signal given in the

data file. Comment on the active frequency bands and discuss possible sleep stages for

each signal. You may use this article for information about sleep stages.

Design an FIR and an IIR filter for each EEG frequency band $($alpha$,$ beta etc.$).$ Explain

your reasoning for choosing a specific type of filter $($Butterworth$,$ Chebyshev etc. for

IIR; type I, type II etc. for FIR$).$ Plot the frequency and phase response of your filters

$($use $Hz$ for $x-$axis$)$ and comment on your results. $($You may use built$-$in MATLAB

functions for your filters$)$

Use the filters you have obtained in $2^{nd}$ part to filter the signals to separate each signal

to EEG frequency bands. Plot each band in time domain $($there should be $2$ plots for

each band, IIR filtered and FIR filtered$).$ Show the frequency spectrum of the filtered

signals. Is there a difference between FIR or IIR filtered signals?

Your MATLAB code should give the following outputs when run $($separate from the results

requested for the report$)$;

Frequency response for 'data$5\text{'}$

FIR filter frequency and phase response for alpha band

IIR filter frequency and phase response for theta band

Alpha filtered signal for 'data$2\text{'}$ in time domain $($both IIR and FIR filtered$)$

Beta filtered signal for 'data$3\text{'}$ in frequency domain $($both IIR and FIR filtered$)$