Please make this code by Matlab.

Create a synthetic time series spanning one week.

Build this with four components:

(i) waves with a period of 10 s and an amplitude of 0.5 m,

(ii) infragravity waves with an amplitude of 0.25 m and a period of 200 s,

(iii) tides with an amplitude of 1.5 m and a period of 12.5 hours, and

(iv) normally-distributed random noise with an amplitude of 10 cm. I would suggest a time step of 0.5 s, or less.

you do this as follows: each sin wave has the form

amp * sin ( 2 * pi / T * t), where T is the period in seconds and t is the time in seconds.