Since the Fourier Transform of the product of two functions is the same as the convolution of their Fourier Transforms, and the Fourier Transform is an isometry on $L^2$, all we need find is an …

Transforms such as Fourier transform or Laplace transform, takes a product of two functions to the convolution of the integral transforms, and vice versa. This is called the Convolution …

Lowercase t-like symbol is a greek letter "tau". Here it represents an integration (dummy) variable, which "runs" from lower integration limit, "0", to upper integration limit, "t". So, the convolution …

Derivative of convolution Ask Question Asked 13 years, 4 months ago Modified 1 year, 5 months ago

Convolution of two independent uniform Random Variables Ask Question Asked 8 years, 9 months ago Modified 8 years, 9 months ago

But we can still find valid Laplace transforms of f (t) = t and g (t) = (t^2). If we multiply their Laplace transforms, and then inverse Laplace transform the result, shouldn't the result be a …

1 The purpose of this answer is to show how a direct application of convolution may lead to the desired result. I take the following results from Cohn, Measure Theory. Definition of …

Convolution Product $\sin t *\sin t$ by complex replacement. Ask Question Asked 10 years, 9 months ago Modified 10 years, 9 months ago

Convolution with sinc pulses What we want to do to reconstruct the signal is a convolution between the samples and scaled and shifted versions of sinc. This technique is known as …

analysis fourier-analysis fourier-series convolution signal-processing See similar questions with these tags.