`htrans`

Hilbert-type integral transform of a symbolic expression.

Category: Mathematics > Calculus

Syntax

H = htrans(f, t, s)

Transforms f(t) into a function of s.

Description

MatLivre evaluates it with the rule of the Hilbert transform on trigonometric terms: sin becomes -cos and the transform of cos is sin. Each term is handled by itself, and a function without a known rule stays as the unevaluated call. ihtrans is the inverse.

Input arguments

f: Symbolic expression in t.
t: Original variable.
s: Variable of the result.

Output arguments

H: Symbolic expression in s, or the unevaluated htrans(...) call if no rule applies.

Example

Hilbert transform of a sine

syms t s
htrans(sin(t), t, s)

Output

ans = -cos(s)

Notes

This function is not part of the documented MATLAB function reference, and MatLivre supports only a limited set of rules.

See also

ihtrans fourier laplace