- #1
atrus_ovis
- 101
- 0
Apparently, when convolving, for example:
[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?
[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?