Unit Sample $($Delta $$Function$,$ Impulse$)$

$[$n$]=\{0,$n$01,$n$=0.$

MATLAB Script:

$8$Delta $($Unit $$Sample$)$Function

t$=-5$:$1$:$5$; $\%$time is $$sampled

delta$=$zeros$($size$($t$))$; $\%$array of$0+$s

delta$(6)=1$; & $6$th $$element is$1.$

stem$($t$,$delta$)$; $8$discrete plot

Init Sten

$[$n$]=\{1,$n$0,0,$n$<0.$

MATLAB Script:

$8$Unit Step Function

t$=-10$:$1$:$10$;

unit$=$zeros$($size$($t$))$;

unit$(11$:end$)=1$; $8$elements $11$to$21$are $1.$

stem$($t$,$unit$)$; Sinusoidal Function

$[$n$]=$Acos$($$0$n$+$$),$for all n$,$

MATLAB Script:

$8$Sinusoidal Eunction

t$=0$:$0\mathrm{.}01$:$1$;

T$=1$; $\%$period

f$=1$T; & frequency

w$=2$f; $\%$radian frequency

A$=2$; $\%$amplitude

sinwt$=$At $$LAB EXERCISES

Write a MATLAB script to $$generate a continuous sinusoidal signal of $$frequency $100$Hz

and amplitude $5$V $$between x$[$n$]=$n$,-1<$$<0$$=-0\mathrm{.}9-10.-20.$

A power signal, x$[$n$]=$n$,-1<$$<0,$can be $$generated in $$MATLAB with power$()$

function $($see $$help power$)$and visually depicted as:

Write a MATLAB script to $$generate a power signal with $=-0\mathrm{.}9$between $-10\mathrm{.}0.$

Write a MATLAB script to $$generate an $$exponential function which grows with factor $0\mathrm{.}5$

between $-20.$

A power signal, x$[$n$]=$n$,-1<$$<0,$can be $$generated in $$MATLAB with power$()$

function $($see $$help power$)$and visually depicted as:

Write a MATLAB script to $$generate a power signal with $=-0\mathrm{.}9$between $-10.$