Separable kernel example

1. What is a separable kernel?
2. What is separable kernel in integral equation?
3. What is degenerate kernel?
4. What is symmetric kernel?

What is a separable kernel?

A separable kernel gives separate control of the frequency-smoothing and time-smoothing of the WVD which is an improvement over the spectrogram which does not have flexibility to independently adjust smoothing along the time and/or the frequency axis [62].

What is separable kernel in integral equation?

A separable kernel K(x,s) is the one that can be rewritten in the form of K(x,s)=N∑i=1Ai(x)Bi(s).

What is degenerate kernel?

The degenerate kernel approximation is the simplest method for numer- ically solving integral equations of the second kind as far as its under- standing and error analysis are concerned.

What is symmetric kernel?

1.1 Symmetric kernel

A complex valued kernel k(x, t), a ≤ x, t ≤ b is called a symmetric or Hermitian kernel of an integral equation if k(x, t) = k(t, x), where the bar denotes the complex conjugate. In this situation, the integral equation is also called a ”symmetric integral equation”.