What is the physical meaning of convolution of any 2 signals?

Question

I want to know what does the result on convoluting 2 signals mean.

What is the use, physical significance?

Mention some practical example and applications.

Answer 1

When you transform time-domain signals into the frequency-domain using a Fourier, LaPlace, Z, etc., transform, manipulating complex time-domain equations becomes a matter of simple algebra in the frequency domain.  Time-domain integro-differential equations become additions and subtractions and algebraic expressions in the frequency domain.

A multiplication of 2 transformed signals in the frequency domain is called a convolution in the time-domain.

The most common physical manifestation of multiplication in the frequency-domain is called modulation.  When one time-domain signal 'modulates' another time-domain carrier signal, the 2 signals are convolved in the time-domain (and are multiplied in the frequency-domain).

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