ELEC Lecture 111 ELEC 412 RF & Microwave Engineering Fall 2004 Lecture 11

ELEC Lecture 112 RF Filter Design – Basic Filter Types

ELEC Lecture 113 Filter Attenuation Profiles

ELEC Lecture 114 RF Filter Parameters Insertion Loss: Ripple Bandwidth: BW 3dB = f u 3dB – f L 3dB Shape Factor: Rejection

ELEC Lecture 115 Low-Pass Filter Cascading four ABCD-networks.

ELEC Lecture 116 RF Filter Parameters Cascading four ABCD-networks.

ELEC Lecture 117 Low-Pass Filter Frequency Response Frequency Response from the ABCD Definitions: So the Transfer Function is Simply:

ELEC Lecture 118 Low-Pass Filter Frequency Response Corresponding Phase is: Group Delay:

ELEC Lecture 119 High-Pass Filter

ELEC Lecture 1110 High-Pass Filter Frequency Response Frequency Response from the ABCD Definitions: So the Transfer Function is Simply:

ELEC Lecture 1111 High-Pass Filter Frequency Response For    : Inductive Influence Can Be Neglected

ELEC Lecture 1112 Low-Pass Filter Realizations

ELEC Lecture 1113 Low-Pass Butterworth Filter Coefficients

ELEC Lecture 1114 Low-Pass Butterworth Filter Attenuation

ELEC Lecture 1115 Low-Pass Linear-Phase Filter Coefficients

ELEC Lecture 1116 Chebyshev-Type Filters

ELEC Lecture 1117 Chebyshev-Type Filters

ELEC Lecture 1118 Chebyshev-Type Filter Response Response for 3 dB ripple Chebyshev LPF

ELEC Lecture 1119 Chebyshev-Type Filter Response Response for 0.5 dB ripple Chebyshev LPF

ELEC Lecture 1120 Low-Pass Chebysev Filter Coefficients – 3 dB Ripple

ELEC Lecture 1121 Low-Pass Chebysev Filter Coefficients – 0.5 dB Ripple

ELEC Lecture 1122 Standard Low-Pass Filter Design The normalized inductors and capacitors (g 1, g 2,..., g N ) are denormalized using: and where C n, L n, are the g n normalized values from the tables