Convolution theorem
Theorem that under suitable conditions the Fourier transform of a convolution of two signals is the pointwise product of their Fourier transforms
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain) equals point-wise multiplication in the other domain (e.g., frequency domain).
Nº Q2638931 ★★
Uncommon · Knowledge
Convolution theorem
Theorem that under suitable conditions the Fourier transform of a convolution of two signals is the pointwise product of their Fourier transforms
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain) equals point-wise multiplication in the other domain (e.g., frequency domain).
Last price
—
Floor price
—
7-day median
—
30-day sales
0
30-day range
—
In circulation
0
Price history
median
low – high
sales
No sales in this period
Show table
| Date | median | Low | High | sales |
|---|
Sales history
- Last sale
- —
- 30-day average
- —
- 30-day low
- —
- 30-day high
- —
- Sales 7d
- 0
- Sales 30d
- 0
No sales yet.
Anonymous sales: no buyer or seller shown. Figures count player-to-player sales only.
From Wikipedia
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain) equals point-wise multiplication in the other domain (e.g., frequency domain). Other versions of the convolution theorem are applicable to various Fourier-related transforms.
Text: Wikipédia, CC BY-SA 4.0. ·
Related cards
Fourier transform
Mathematical transform that expresses a function of time as a function of frequency
Nº Q6520159 ★★★★
Convolution
Binary mathematical operation on functions, defined as the integral of the product of two functions after one is reflected about the y-axis and shifted, evaluated for all values of shift, producing the convolution function
Nº Q210857 ★★★
Identity theorem
Theorem that an analytic function is completely determined by its values on a countable subset that contains a converging sequence together with its limit
Nº Q1038716 ★
Fundamental theorem of calculus
Calculus theorem describing the duality of differentiation and integration
Nº Q1217677 ★★★
Dominated convergence theorem
Theorem that, for a sequence of functions bounded in absolute value by an integrable function, then almost everywhere pointwise convergence implies L¹ convergence
Nº Q1067156 ★★
Intermediate value theorem
Theorem
Nº Q245098 ★★★