Coupling matrix based integration of the active components with microwave filters

This thesis introduces novel integrated millimetre wave components for amplification and filtering. The conventional coupling matrix theory for passive filters is extended to the design of ‘filter-amplifiers’, which have both filtering and amplification functionalities. The design is based on the coupling matrix theory, and for this approach extra elements are added to the standard coupling matrix to represent the transistor. Based on the specification of the filter and small-signal parameters of the transistor, the active coupling matrices for the ‘filter-amplifier’ can be synthesised. Adopting the active coupling matrices, the resonators of the filter adjacent to the transistor and the coupling between them are modified mathematically to provide a Chebyshev filter response with amplification. Although the transistor has complex input and output impedances, it can be matched to the filters by choice of coupling structure and resonance frequency. This is particularly useful as the filter resonators can be of a different construction (e.g. waveguide) to the amplifier (e.g. microstrip).