3-Lesson_Notes_Lecture28_ee205

# 3-Lesson_Notes_Lecture28_ee205 - EE 205 Dr. A. Zidouri...

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EE 205 Dr. A. Zidouri - 1 - Electric Circuits II Frequency Selective Circuits (Filters) Bandpass Filters Lecture #28

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EE 205 Dr. A. Zidouri - 2 - The material to be covered in this lecture is as follows: o Introduction to Bandpass filters o Center Frequency, Bandwidth and Quality factor o Bandpass Series RLC Circuit Analysis o Relationship between different parameters After finishing this lecture you should be able to: ¾ Understand the behavior of Bandpass filters ¾ Determine the different Bandpass filter parameters ¾ Relate each parameter in terms of other parameters ¾ Analyze Bandpass filter ¾ Design a simple Bandpass filter
EE 205 Dr. A. Zidouri - 3 - Introduction to Bandpass filters Bandpass filters are those that pass voltages within a band of frequencies to the output while filtering out voltages at frequencies outside this band. Bandpass filters and Bandstop filters thus perform complementary functions in the frequency domain. These filters are characterized by same parameters o Two cutoff frequencies 1 C ω , 2 C o The center frequency 0 o The bandwidth β o The quality factor Q Only two of these five parameters can be specified independently These parameters are defined in the same way for both types of filters. So we examine only the Bandpass filter at the beginning

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EE 205 Dr. A. Zidouri - 4 - Bandpass Filter: Center Frequency, Bandwidth, and Quality Factor The center frequency 0 ω is defined as the frequency for which a circuit’s TF is purely real. It is also referred to as the resonant frequency. The center frequency is the geometric center of the passband, that is, 01 2 CC ωω = (38-1) The magnitude of the TF is maximum at the center frequency ( ) max 0 H H j = (38-2) The bandwidth β is the width of the passband 21 =− (38-3) The quality factor Q is the ratio of the center frequency to the bandwidth 0 Q = (38-4)
EE 205 Dr. A. Zidouri - 5 -

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## This note was uploaded on 01/16/2010 for the course EE ee205 taught by Professor Profsyed during the Spring '09 term at King Fahd University of Petroleum & Minerals.

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3-Lesson_Notes_Lecture28_ee205 - EE 205 Dr. A. Zidouri...

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