I have used the Higuchi method to calculate the fractal dimension of waveform signal, but I don't Know how can I transfer the graph of the time series signal to the graph of its fractal dimension
A close and relevant literature is the one on Hurst exponents with estimation by absolute moments. The fractal dimension of the time series is equal to 2 minus the Hurst exponent, so if you have the series of Hurst epxonents you will simply get the series of fractal dimensions. A detailed example of computation of a series of Hurst exponents on small windows (with regularization) is provided here: Article Estimation of time-dependent Hurst exponents with variationa...