Patent ID: 8441326

Claim:
A method for designing an electronic circuit, the method comprising: providing the circuit with a first matching network with a first connection and a second connection; connecting a load of the circuit to the first connection, wherein a first load reflection factor that depends on the load is achieved at the first connection; connecting a source element of the circuit with a first source reflection factor to the second connection, wherein a transformed first load reflection factor into the second connection and a transformed first source reflection factor into the first connection are achieved via the first matching network; determining for each first distance from among a number of first distances a first circle as a set of all points at a first distance from a complex conjugate of the first load reflection factor by: P ⁡ ( y , a on * ) = arc ⁢ ⁢ tanh ⁡ (  y - a on *   1 - y * ⁢ a on *  ) ≡ P R , wherein y is a point on the first circle, y* is the complex conjugate of the point on the first circle, a on * is the complex conjugate of the first load reflection factor, and P R is the first distance; determining a second circle as the set of all points at a first distance from the complex conjugate of the first source reflection factor by: P ⁡ ( x , b on * ) = arctan ⁢ ⁢ h ⁡ (  x - b on *   1 - x * ⁢ b on *  ) ≡ P R , wherein x is a point on the second circle, x* is the complex conjugate of the point on the second circle, b on * is the complex conjugate of the first source reflection factor, and P R is the first distance; determining a number of first point pairs, wherein a first pair point of each point pair is on the first circle, and wherein a second pair point of each point pair is on the second circle; determining a value of a first parameter for each first point pair with the first pair point equal to a value of the transformed first source reflection factor and with the second pair point equal to a value of the transformed first load reflection factor; determining an optimum of the first parameter from all values of the first parameter that are associated with the first point pairs; determining a first value pair from among the first point pairs, wherein the optimum is associated with the first value pair; setting a first value of the transformed first source reflection factor equal to a first value point of the first value pair; setting a second value of the transformed first load reflection factor equal to a second value point of the first value pair; and determining the first matching network using the first value of the transformed first source reflection factor, the second value of the transformed first load reflection factor, the first source reflection factor, and the first load reflection factor.