Suppose a system's impulse response is given by $h[n]=sin(0\mathrm{.}75n),n0.$ Turn in copies of your code and graph for this problem.

a$.(7$ pts$)$ Compute the output of the system $y[n]$ for $n=0,1,$dots,$50$ using the conv command in MATLAB if the input is $x[n]=cos(0\mathrm{.}1n).$ Use the plotting command: stem $($ : length $(n),\text{'}$ filled $\text{'})$ to plot the output. Provide labels on your graph using the following code:

xlabel $(\text{'}$n$\text{'})$ ;

ylabel $(\text{'}$y$\{$n$]\text{'})$;

title$(\text{'}$Homework $2,$ Problem $6\text{'})$;

b$.(2$ pts$)$ Explain what the command $1$:length $($ n $)$ does to the graph.

c$.(1$ pts$)$ Are you plotting the entire convolution which MATLAB calculated?

d$.(1$ pt$)$ What does the command filled do to the graph?Suppose a system's impulse response is given by $h[n]=sin(0\mathrm{.}75n),n0.$ Turn in copies of your code and graph for this problem.

a$.(7$ pts$)$ Compute the output of the system $y[n]$ for $n=0,1,$dots,$50$ using the conv command in MATLAB if the input is $x[n]=cos(0\mathrm{.}1n).$ Use the plotting command: stem $($ : length $(n),\text{'}$ filled $\text{'})$ to plot the output. Provide labels on your graph using the following code:

xlabel $(\text{'}$n$\text{'})$ ;

ylabel $(\text{'}$y$\{$n$]\text{'})$;

title$(\text{'}$Homework $2,$ Problem $6\text{'})$;

b$.(2$ pts$)$ Explain what the command $1$:length $($ n $)$ does to the graph.

c$.(1$ pts$)$ Are you plotting the entire convolution which MATLAB calculated?

d$.(1$ pt$)$ What does the command filled do to the graph?