Using MATLAB, design low$-$pass filters with less than $1$dB ripple in the passband and $50$dB attenuation in the stopband.

Constraints: The passband should end at $100$kHz$,$ and the stopband should begin at $150$kHz$.$ The low$-$pass filters should be of the Butterworth, Chebyshev Type $1,$ and Chebyshev Type $2$ types.

Requirements: For each filter, please provide the following:

Plot the poles and zeros on the complex plane and specify the required order for each type of filter.

Plot the gain and phase Bode diagrams.

Plot the time$-$domain response for a $90$kHz square wave.

Use a SPICE Netlist to plot the gain and phase diagrams of your designed filters. For SPICE circuit simulations, it is sufficient to use a $4$th$-$order filter circuit with a passband ending at $100$kHz and a stopband starting at $150$kHz$.$