Activity$1$

Write a function that calculates the frequency, amplitude, and phase shift of a given sinusoidal signal

$($Sinusoidal equals sine wave, sin$($t$).$This function has two inputs $$X$$ and $$t$,$ which contain$$ more than one period of a sinusoidal signal.Creat a sinusoidal signal with arbitrary frequency, amplitude and phase shift to check your function. Investigate how the step size $($revolution$)$ of the input sine wave affects the accuracy of the outputs. Note that the step size or resolution can be considered a sampling frequency, i$.$e$.$ at what points in time is the sine wave defined or sampled.

Demonstrate your function for the instructor and print out your code$/$syntax

Activity $1$

T$=0$:$0\mathrm{.}001$:$0\mathrm{.}025$;

X$=20*$sin$((2*$pi$*40)*$t$)$;

Stem$($t$,$x$)$

Activity $2$

$$for Fs$=2000,$ and Ts$=1/$Fs$=0\mathrm{.}0005,$ f$=50,$A$=10$

T$=0$:$0\mathrm{.}0005$:$0\mathrm{.}02$;

A$=10$;

F$=50$

X$=$A$*$sin$((2*$pi$*$F$)*$T$)$;

Stem$($t$,$x$)$

Activity $3$

T$=0$:$0\mathrm{.}0005$:$0\mathrm{.}025$;

X$=20*$sin$((2*$pi$*40)*$t$)$;

Stem$($t$,$x$)$

Activity $4$

Let us introduce$=-0\mathrm{.}4$

t$=0$:$0\mathrm{.}001$:$0\mathrm{.}025$;

X$=20*$sin$((2*$pi$*40)*$t$-0\mathrm{.}4*$pi$)$;

Stem$($t$,$x$)$

Activity $5$

Now$=+0\mathrm{.}4$

t$=0$:$0\mathrm{.}001$:$0\mathrm{.}025$;

X$=20*$sin$((2*$pi$*40)*$t$+0\mathrm{.}4*$pi$)$;

Stem$($t$,$x$)$

Ploy$($t$,$x$)$