Transposing phasor equation into instantaneous values equations using Hilbert transform

This paper presents an approach to electrical circuits using Hilbert transform. By applying Hilbert transform to linear circuit equations under sinusoidal form, (-π/2) phase shifting occurs. This method can be extended to complex form circuits analysis. Applications refer strictly to sampled signals, discrete signals. The input signal is a signal under the harmonic form. An application that determines the analysis of two RLC circuits - series respectively series - parallel - powered by a constant sinusoidal current is developed.