Convolving a signal with its impulse response in MATLAB

In summary, the conversation discusses convolving a given signal and its impulse response using MATLAB. The person is having trouble with the process and has been unable to find helpful information online. They also mention a possible mistake in the given equation. They are seeking assistance with this task.
  • #1
physmatics
16
0

Homework Statement



We're supposed to convolve the signal

x[k] = u[k] - u[k-8]

with its impulse response

h[k] = sin(pi*k/4)*( u[k] - u[k-8] )

with the help of MATLAB.


Homework Equations


-

The Attempt at a Solution


The thing is that we don't know how to do this in MATLAB. We think it's something really easy, but we just can't figure it out. We've been trying to find information on Internet, but nothing comes up! Also, we're pretty sure that we're supposed to put

h[k] = sin(pi*k/4) * x[k]

- it's pretty obvious from the exercise :)

Can anyone help us? We will appreciate it! :)
 
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  • #2


Did you look up the u[k] function, and implications of it?
 

Related to Convolving a signal with its impulse response in MATLAB

What is convolving a signal with its impulse response in MATLAB?

Convolving a signal with its impulse response in MATLAB is a process of combining two signals to create a new signal. The impulse response of a system represents its behavior, and convolving it with a signal allows us to see how that signal would be affected by the system.

How do I convolve a signal with its impulse response in MATLAB?

To convolve a signal with its impulse response in MATLAB, you can use the conv function. This function takes two signals as input and returns their convolution. Make sure to use the appropriate sampling rate and time vector for your signals.

Why is convolving a signal with its impulse response useful?

Convolving a signal with its impulse response is useful because it allows us to see how a system will affect a given signal. This is important in fields such as signal processing and control systems, where understanding the behavior of a system is crucial.

Can I convolve a signal with multiple impulse responses in MATLAB?

Yes, you can convolve a signal with multiple impulse responses in MATLAB. You can do this by using the conv function multiple times, with the output of each convolution becoming the input for the next one.

Are there any limitations to convolving a signal with its impulse response in MATLAB?

One limitation to convolving a signal with its impulse response in MATLAB is that if the length of the resulting convolution is longer than the length of the original signals, the extra samples will be truncated. This can lead to loss of information, so it is important to consider the lengths of your signals and the desired output when using convolution in MATLAB.

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