(Solved): steps and clear answers and use MATLAB  1. Suppose a discrete-time LTI system has the impu ...

steps and clear answers and use MATLAB 

1. Suppose a discrete-time LTI system has the impulse response \( h[n] \) and that the system is stimulated with the signal \( x[n] \) where \( h[n] \) and \( x[n] \) are 0 at all values of \( n \) not shown. (a) Find and plot the signal \( h[-m] \) as a function of the integer \( m \) by hand. (5 points) (b) Find and plot the signal \( h[-3-m]=h[-(m+3)] \) as a function of the integer \( m \) by hand. (5 points) (c) Calculate all nonzero values of the output \( y[n] \) of the system in response to the input signal \( x[n] \) using convolution by hand. ( 15 points) (d) Verify your solution using the MATLAB function conv or the NumPy function convolve. Include your code and its output in your answer. ( 7 points)