Adjoint network of periodically switched linear circuits

This paper presents a general theory of the adjoint network of multiphase periodically switched linear (PSL) circuits in frequency domain. The phasor representation of Tellegen´s theorem for PSL circuits in the steady-state is introduced and the adjoint networks of elements typically encountered in PSL circuits are developed. It is shown that the transfer functions from multiple input sources to one output of a PSL circuit can be computed efficiently by solving the adjoint network of the circuit only once. More importantly, it is demonstrated that the aliasing transfer functions from the input sources in the side bands to the output in the base band can be obtained efficiently by computing the corresponding high-order frequency components of the response of the adjoint network of the circuit