A. Create the following three discrete-time signals, assuming a time range of [0,12] x = a box of height 1 starting at time n=2 and ending at n=8 h1 = a pulse of length 4 & height 1 starting at time 0 h2 = 1 at n=0, -1 at n=1, and 0 otherwise B. Use numpy.convolve() function to find y1=x*h1 and y2=x*h2 (where * indicates convolution, not multiplication). C. Create a time vectors nx, nyl and ny2 for plotting x, y1 and y2. Use the stem plotting function to plot the signals on a 3x1 subplot, using a y-axis between -2 and 5 and a time axis from 0 to 20. Label and title the graphs. Verify that the signals for (yl) and (y2) match what you expect from your prelab. Report discussion: The systems corresponding to impulse responses h₁ [n] and h₂[n] capture different information about a signal. Comment on what aspects of the input signal correspond to the largest values of yı[n] and y₂[n].
A. Create the following three discrete-time signals, assuming a time range of [0,12] x = a box of height 1 starting at time n=2 and ending at n=8 h1 = a pulse of length 4 & height 1 starting at time 0 h2 = 1 at n=0, -1 at n=1, and 0 otherwise B. Use numpy.convolve() function to find y1=x*h1 and y2=x*h2 (where * indicates convolution, not multiplication). C. Create a time vectors nx, nyl and ny2 for plotting x, y1 and y2. Use the stem plotting function to plot the signals on a 3x1 subplot, using a y-axis between -2 and 5 and a time axis from 0 to 20. Label and title the graphs. Verify that the signals for (yl) and (y2) match what you expect from your prelab. Report discussion: The systems corresponding to impulse responses h₁ [n] and h₂[n] capture different information about a signal. Comment on what aspects of the input signal correspond to the largest values of yı[n] and y₂[n].
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Pls use google colab
![A. Create the following three discrete-time signals, assuming a time range of [0,12]
x = a box of height 1 starting at time n=2 and ending at n=8
hl =a
a pulse of length 4 & height 1 starting at time 0
h2 = 1 at n=0, -1 at n=1, and 0 otherwise
B. Use numpy.convolve() function to find y1=x*h1 and y2=x*h2 (where * indicates
convolution, not multiplication).
C. Create a time vectors nx, nyl and ny2 for plotting x, y1 and y2. Use the stem plotting
function to plot the signals on a 3x1 subplot, using a y-axis between -2 and 5 and a time
axis from 0 to 20. Label and title the graphs. Verify that the signals for (y1) and (y2)
match what you expect from your prelab.
Report discussion: The systems corresponding to impulse responses h₁[n] and h₂[n] capture
different information about a signal. Comment on what aspects of the input signal correspond
to the largest values of yı[n] and y²[n].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99f977ae-b8fc-494e-8dd6-bf2588c88e7d%2F31bf1043-0bcb-4fec-be32-d02a6b467cbf%2Fm436vcr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A. Create the following three discrete-time signals, assuming a time range of [0,12]
x = a box of height 1 starting at time n=2 and ending at n=8
hl =a
a pulse of length 4 & height 1 starting at time 0
h2 = 1 at n=0, -1 at n=1, and 0 otherwise
B. Use numpy.convolve() function to find y1=x*h1 and y2=x*h2 (where * indicates
convolution, not multiplication).
C. Create a time vectors nx, nyl and ny2 for plotting x, y1 and y2. Use the stem plotting
function to plot the signals on a 3x1 subplot, using a y-axis between -2 and 5 and a time
axis from 0 to 20. Label and title the graphs. Verify that the signals for (y1) and (y2)
match what you expect from your prelab.
Report discussion: The systems corresponding to impulse responses h₁[n] and h₂[n] capture
different information about a signal. Comment on what aspects of the input signal correspond
to the largest values of yı[n] and y²[n].
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Step 1: To create the three signals, we can use numpy functions as follows:
VIEWStep 2: To find the convolution of signals x and h1, and x and h2, we can use the numpy.convolve() function
VIEWStep 3: To plot the signals, we can create the time vectors using numpy and then use the stem() function
VIEWSolution
VIEW
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