Question

Using the facilities of numpy, write a python program that reads the input signal as a space separated sequence of numbers on one line, and the system impulse response as a space separated sequence of numbers on the next line, and outputs (on one line) the output of the DT LTI system.

The input lines should be interpreted as

x[0] x[1] x[2] ... x[N-1]
h[0] h[1] h[2] ... h[M-1]

and the output should be produced in the same order:

y[0] y[1] y[2] ... y[S-1]

where S is related to N and M.

Answer 1

I can help you.

But there is a small confusion in your question. You dosent told how the calculation of

y[0] y[1] y[2] ... y[S-1] 

has to be done.(specify it in the comments, I will update the answer based on that)

You can read the lines in and convert to each input as follows

Program :

import numpu as np

x = input("Enter signals : (x[0] x[1] x[2] ... x[N-1]) : ")
x = x.split() # This line will seperate each signals and store as an array

h = input("Enter system impulse response : (h[0] h[1] h[2] ... h[M-1]) : ")
h = h.split() # This line will seperate each system impulse response and store as an array

# Find the length of each data
N = len(x)
M = len(h)

# Convert the list to numpy array, For easy computations:
x = numpy.array(x)
h = numpy.array(h)

Now for the final computation,

Please give the details, how to compute the y,

I will update the answer based on your response.