PG1995
Active Member
Hi
Q1:
Please note that I have very basic knowledge of signal and system theory. I have no knowledge of Fourier transforms etc. I'm only after intuitive understanding of the convolution if that's possible. I have been through different webpages but they don't really make much sense to me but out of all the ones I have been to **broken link removed** one was the best.
Q2:
Please help me with **broken link removed** query. Please note that in the attachment I have labelled the query as "Q1", just ignore the "1". Here you can see the complete PDF which I have used for the attachment.
Q3:
I have been told that when an impulse function is transformed into frequency domain (by the way, which I haven't studied so far) it contains the components of all frequencies with the same magnitude. What does this really mean in 'easy' words?
Thanks a lot for the help.
Regards
PG
Update Q1: I think the concept of convolution comes into play whenever we are considering the effect of some previous input values with the effect of present input values. For instance, suppose you are lecturing in some big hall where significant echo is produced and some individuals are listening to you. Everything you speak can be considered an input. The persons who are listening, listening is output, to you are not only hearing what you have just said but there are hearing the combined effect of what you said some moments ago, i.e. echo, and what you have just said. Please note that an echo in itself is a combination of echos. The effect of what you have just said would be more prominent than anything else and effect of each recent echo would be more prominent than the previous echos.
Update Q3:
Q1:
Please note that I have very basic knowledge of signal and system theory. I have no knowledge of Fourier transforms etc. I'm only after intuitive understanding of the convolution if that's possible. I have been through different webpages but they don't really make much sense to me but out of all the ones I have been to **broken link removed** one was the best.
Q2:
Please help me with **broken link removed** query. Please note that in the attachment I have labelled the query as "Q1", just ignore the "1". Here you can see the complete PDF which I have used for the attachment.
Q3:
I have been told that when an impulse function is transformed into frequency domain (by the way, which I haven't studied so far) it contains the components of all frequencies with the same magnitude. What does this really mean in 'easy' words?
Thanks a lot for the help.
Regards
PG
Update Q1: I think the concept of convolution comes into play whenever we are considering the effect of some previous input values with the effect of present input values. For instance, suppose you are lecturing in some big hall where significant echo is produced and some individuals are listening to you. Everything you speak can be considered an input. The persons who are listening, listening is output, to you are not only hearing what you have just said but there are hearing the combined effect of what you said some moments ago, i.e. echo, and what you have just said. Please note that an echo in itself is a combination of echos. The effect of what you have just said would be more prominent than anything else and effect of each recent echo would be more prominent than the previous echos.
Update Q3:
From Wikipedia article on impulse response.Mathematically, how the impulse is described depends on whether the system is modeled in discrete or continuous time. The impulse can be modeled as a Dirac delta function for continuous-time systems, or as the Kronecker delta for discrete-time systems. The Dirac delta represents the limiting case of a pulse made very short in time while maintaining its area or integral (thus giving an infinitely high peak). While this is impossible in any real system, it is a useful idealisation. In Fourier analysis theory, such an impulse comprises equal portions of all possible excitation frequencies, which makes it a convenient test probe.
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