Apparently, when convolving, for example:(adsbygoogle = window.adsbygoogle || []).push({});

[δ(ω-π) - δ(ω+π)] * (δ(ω+50π)-δ(ω-50π))

the result is

δ(ω+49π)-δ(ω-51π)-δ(ω+51π)+δ(ω-49π)

where δ() is the Dirac delta function, * the convolution operator and ω the frequency variable

How do we get to this? Can you help me on the intuition in this example and/or general in convolution in the frequency domain?

thank you.

edit: i think i understand that we use the distributivity property to expand it.When we have , i.e. δ(ω+π) * δ(ω-50π) how do we continue?

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# Convolution of two delta functions in frequency domain

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