Dj transform frequency extraction method based on analytical method

A DJ transform frequency extraction method based on an analytical method, the DJ transform frequency extraction method being a method of extracting frequencies by using DJ transform on the basis of the analytical method and comprising the steps, each performed by a computer, of:

• a) receiving a signal generated from any sound generator and acting as an external force, to generate one linear function corresponding to the signal, and obtaining a damped simple harmonic oscillator linear differential equation in which the generated linear function acts as an external force;
• b) replacing an inhomogeneous term of the obtained linear differential equation with Dirac delta function, and constructing the linear function as an equation expressed in an integral form of the Dirac delta function;
• c) obtaining a solution to an equation for a general external force expressed in an integral form of a Green function on the basis of the constructed equation;
• d) calculating x(t) and v(t) in the solution to the equation for the general external force by using convolution, and expressing x and v components of the DJT by integral-form equations of the Green functions for proportional damping and uniform damping configurations, respectively;
• e) expressing, using the Green functions that vary sinusoidally, sine and cosine components of the DJT by the integral-form equations of the Green functions for the proportional damping and uniform damping configurations, respectively;
• and
• f) expressing the integral-form equations for the sine and cosine components of the DJT by a mathematical relationship of Laplace transform and inverse Laplace transform, and extracting frequencies constituting a given original signal and reconstructing the original signal on the basis of the mathematical relationship.