Abstract: An S-parameter of a reference impedance is determined and converted to a desired mode of operation. Example modes of operation include a single-ended input output mode, a differential input output mode, and a common input output mode. The complex values of the impedance at each port as a function of frequency can be computed using the novel closed-form quadratic S-parameter equation which utilizes the concept of matched networks by setting the reflections and re-reflections to zero through S-parameter renormalization. Using the S-parameter renormalization, the insertion loss corresponding to zero reflections and re-reflections is calculated. Based on the determination of the matching impedance used to reduce the reflections and re-reflections to zero, a parameter of a circuit comprising the network may be modified to reduce noise.

Abstract: An S-parameter of a reference impedance is determined and converted to a desired mode of operation. Example modes of operation include a single-ended input output mode, a differential input output mode, and a common input output mode. The complex values of the impedance at each port as a function of frequency can be computed using the novel closed-form quadratic S-parameter equation which utilizes the concept of matched networks by setting the reflections and re-reflections to zero through S-parameter renormalization. Using the S-parameter renormalization, the insertion loss corresponding to zero reflections and re-reflections is calculated. Based on the determination of the matching impedance used to reduce the reflections and re-reflections to zero, a parameter of a circuit comprising the network may be modified to reduce noise.

Abstract: Multiple designs for a multi-layer circuit may be simulated to determine impedance profiles of each design, allowing a circuit designer to select a design based on the impedance profiles. One feature that can be modified is the structure surrounding the barrels of a differential VIA on layers that are not connected to the differential VIA. Specifically, one antipad can be used that surrounds both barrels or two antipads can be used, with one antipad for each barrel. Additionally, the size of the antipad or antipads can be modified. These modifications affect the impedance of the differential VIA. Additionally, a conductive region may be placed that connects to the VIA barrel even though the circuit on the layer does not connect to the VIA. This unused pad, surrounded by a non-conductive region, also affects the impedance of the differential VIA.

Abstract: Multiple designs for a multi-layer circuit may be simulated to determine impedance profiles of each design, allowing a circuit designer to select a design based on the impedance profiles. One feature that can be modified is the structure surrounding the barrels of a differential VIA on layers that are not connected to the differential VIA. Specifically, one antipad can be used that surrounds both barrels or two antipads can be used, with one antipad for each barrel. Additionally, the size of the antipad or antipads can be modified. These modifications affect the impedance of the differential VIA. Additionally, a conductive region may be placed that connects to the VIA barrel even though the circuit on the layer does not connect to the VIA. This unused pad, surrounded by a non-conductive region, also affects the impedance of the differential VIA.

Abstract: Multiple designs for a multi-layer circuit may be simulated to determine impedance profiles of each design, allowing a circuit designer to select a design based on the impedance profiles. One feature that can be modified is the structure surrounding the barrels of a differential VIA on layers that are not connected to the differential VIA. Specifically, one antipad can be used that surrounds both barrels or two antipads can be used, with one antipad for each barrel. Additionally, the size of the antipad or antipads can be modified. These modifications affect the impedance of the differential VIA. Additionally, a conductive region may be placed that connects to the VIA barrel even though the circuit on the layer does not connect to the VIA. This unused pad, surrounded by a non-conductive region, also affects the impedance of the differential VIA.

Abstract: An S-parameter of a reference impedance is determined and converted to a desired mode of operation. Example modes of operation include a single-ended input output mode, a differential input output mode, and a common input output mode. The complex values of the impedance at each port as a function of frequency can be computed using the novel closed-form quadratic S-parameter equation which utilizes the concept of matched networks by setting the reflections and re-reflections to zero through S-parameter renormalization. Using the S-parameter renormalization, the insertion loss corresponding to zero reflections and re-reflections is calculated. Based on the determination of the matching impedance used to reduce the reflections and re-reflections to zero, a parameter of a circuit comprising the network may be modified to reduce noise.