Abstract: A method of designing a filter to meet a set of specifications. The set of specifications is received, and a filter design is established. Analysis of the filter design is performed by: determining a part admittance matrix; determining a circuit admittance matrix based on the part admittance matrices; reducing interior nodes of the circuit admittance matrix; reducing algebraic nodes to transform the circuit admittance matrix into a Green's Function; evaluating the Green's Function to determine a circuit exterior node admittance matrix; and transforming the circuit exterior node admittance matrix to a circuit scattering matrix. The circuit scattering matrix is compared to the set of specifications to determine whether the filter design is satisfactory. When a determination is made that the design is not satisfactory, the filter design is modified and the process is repeated. When a determination is made that the design is satisfactory, a filter design description is output.

Abstract: Non-transitory computer-readable media to perform a method for designing a multiband filter. The method includes generating an initial circuit structure comprising a desired number and type of circuit elements; generating an initial circuit design by mapping the frequency response requirements of the initial circuit structure into normalized space; generating an acoustic filter circuit design by transferring the initial filter circuit design; generating a pre-optimized circuit design by unmapping one or more circuit elements of the acoustic filter circuit design into real space and introducing parasitic effects; and communicating the pre-optimized circuit design to a filter optimizer that generates a final circuit design comprising a plurality of resonators, wherein a first resonator exhibits a high resonant frequency, a second resonator demonstrates a low resonant frequency and the difference between the low resonant frequency and the high resonant frequency is at least 1.

Abstract: Non-transitory computer-readable media to perform a method for designing a multiband filter. The method includes generating an initial circuit structure comprising a desired number and type of circuit elements; generating an initial circuit design by mapping the frequency response requirements of the initial circuit structure into normalized space; generating an acoustic filter circuit design by transferring the initial filter circuit design; generating a pre-optimized circuit design by unmapping one or more circuit elements of the acoustic filter circuit design into real space and introducing parasitic effects; and communicating the pre-optimized circuit design to a filter optimizer that generates a final circuit design comprising a plurality of resonators, wherein a first resonator exhibits a high resonant frequency, a second resonator demonstrates a low resonant frequency and the difference between the low resonant frequency and the high resonant frequency is at least 1.

Abstract: A multi-band acoustic wave microwave filter, including a signal transmission path having an input and an output; a plurality of nodes disposed along the signal transmission path; a plurality of non-resonant branches respectively coupling one or more nodes to ground, wherein each non-resonant branch comprises at least one non-resonant element; and a plurality of resonant branches that couple one or more nodes to ground and include a plurality of resonators on said branches, wherein the plurality of resonators define a first band and at least one additional band and further wherein the difference between the lowest resonant frequency and the highest resonant frequency of the first band is at least 1.25 times the average separation of the resonators.

Abstract: A multi-band acoustic wave microwave filter, including a signal transmission path having an input and an output; a plurality of nodes disposed along the signal transmission path; a plurality of non-resonant branches respectively coupling one or more nodes to ground, wherein each non-resonant branch comprises at least one non-resonant element; and a plurality of resonant branches that couple one or more nodes to ground and include a plurality of resonators on said branches, wherein the plurality of resonators define a first band and at least one additional band and further wherein the difference between the lowest resonant frequency and the highest resonant frequency of the first band is at least 1.25 times the average separation of the resonators.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: A method for electronic circuit spectral analysis includes receiving a list of parts for an electronic circuit, determining a part admittance matrix with algebraic nodes for each part, and determining a circuit admittance matrix for exterior nodes, interior nodes, and algebraic nodes based on the part admittance matrices. The method also includes reducing interior nodes of the circuit admittance matrix for exterior nodes, interior nodes, and algebraic nodes to determine a circuit admittance matrix for exterior nodes and algebraic nodes, reducing algebraic nodes to transform the circuit admittance matrix for exterior nodes and algebraic nodes into a Green's Function, evaluating the Green's Function to determine a circuit exterior node admittance matrix over a frequency spectrum, and transforming the circuit exterior node admittance matrix to a circuit scattering matrix over the frequency spectrum.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: An acoustic microwave filter comprises an input and an output, and a plurality of acoustic resonators coupled between the input and the output. The difference between the lowest resonant frequency and the highest resonant frequency of a plurality of resonators in the filter is at least 1.25 times the frequency separation of the resonator with the highest resonant frequency in the plurality of resonators. Another acoustic microwave filter comprises an input and an output, and a plurality of acoustic resonators coupled between the input and the output to form a passband. The frequency difference between a local minimum or a local maximum of a return loss magnitude of the acoustic microwave filter and the edge of the passband is at least once the frequency separation of the resonator with the highest resonant frequency.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: Methods for the design of microwave filters comprises comprising preferably the steps of inputting a first set of filter requirements, inputting a selection of circuit element types, inputting a selection of lossless circuit response variables, calculating normalized circuit element values based on the input parameters, and generate a first circuit, insert parasitic effects to the normalized circuit element values of the first circuit, and output at least the first circuit including the post-parasitic effect circuit values. Additional optional steps include: requirements to a normalized design space, performing an equivalent circuit transformation, unmapping the circuit to a real design space, performing a survey, and element removal optimization. Computer implement software, systems, and microwave filters designed in accordance with the method are included.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: Methods for the design of microwave filters comprises comprising preferably the steps of inputting a first set of filter requirements, inputting a selection of circuit element types, inputting a selection of lossless circuit response variables, calculating normalized circuit element values based on the input parameters, and generate a first circuit, insert parasitic effects to the normalized circuit element values of the first circuit, and output at least the first circuit including the post-parasitic effect circuit values. Additional optional steps include: requirements to a normalized design space, performing an equivalent circuit transformation, unmapping the circuit to a real design space, performing a survey, and element removal optimization. Computer implement software, systems, and microwave filters designed in accordance with the method are included.

Abstract: Methods for the design of microwave filters comprises comprising preferably the steps of inputting a first set of filter requirements, inputting a selection of circuit element types, inputting a selection of lossless circuit response variables, calculating normalized circuit element values based on the input parameters, and generate a first circuit, insert parasitic effects to the normalized circuit element values of the first circuit, and output at least the first circuit including the post-parasitic effect circuit values. Additional optional steps include: requirements to a normalized design space, performing an equivalent circuit transformation, unmapping the circuit to a real design space, performing a survey, and element removal optimization. Computer implement software, systems, and microwave filters designed in accordance with the method are included.

Abstract: A method of designing an acoustic microwave filter in accordance with frequency response requirements.

Abstract: An acoustic microwave filter comprises an input and an output, and a plurality of acoustic resonators coupled between the input and the output. The difference between the lowest resonant frequency and the highest resonant frequency of a plurality of resonators in the filter is at least 1.25 times the frequency separation of the resonator with the highest resonant frequency in the plurality of resonators.