Constant impedance filter

A bandpass filter, comprising:

• a plurality of low pass filter poles between an input and a first output of the bandpass filter that are series connected with each other, wherein each said lowpass filter pole includes a first capacitor and a first inductor;
• and
• a plurality of high pass filter poles between said input and a second output of the bandpass filter that are series connected with each other, said plurality of highpass filter poles arranged in parallel said plurality of lowpass filter poles, wherein each said highpass filter pole includes a second resistor, a second capacitor, and a second inductor;
• a first of said plurality of high pass filter poles connected to said first capacitor of one of said plurality of low pass filter poles, and each remaining low pass filter pole of said plurality of low pass filter poles is terminated with a first resistor;
• wherein a value of said first capacitor and said second capacitor are determined by the following relationship, C 1 , 2 = L 1 , 2 ( R 1 , 2 ) 2 ;
• wherein C1 is a value of said first capacitor, C2 is a value of said second capacitor, L1 is a value of said first inductor, L2 is a value of said second inductor, and R1 is a value of said first resistor, and wherein R2 is a value of said second resistor.