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HO5_315aSP09_high_order_1

HO5_315aSP09_high_order_1 - Realization of High Order...

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Realization of High Order Filters Realization of High-Order Filters Part I Boris Murmann Stanford University [email protected] Copyright © 2009 by Boris Murmann B. Murmann 1 EE315A HO #5 Architectural Options Cascades of (active) first and second-order sections (biquads) Ladder filters (passive or emulated using active components) B. Murmann 2 EE315A HO #5
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Example1: WCDMA Receiver 0.5 1 [Yee ESSCIRC 2000] -0.5 0 A B [Yee, ESSCIRC 2000] -1 -0.5 0 -1 Real A B B. Murmann 3 EE315A HO #5 Example 2: CDMA/GPS Receiver Channel select filters (CSF) 640 kHz passband, lowpass 0.5 dB passband ripple – > 40 dB stopband > 40 dB stopband attenuation at 900 kHz 5 th order elliptical filter Phase distortion can be tolerated in this application Lim et al., “A Fully Integrated Direct-Conversion Receiver for CDMA and GPS Applications,” IEEE JSSC, Nov. 2006 B. Murmann 4 EE315A HO #5 CDMA and GPS Applications, IEEE JSSC, Nov. 2006
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Matlab Synthesis Result 204155.1855 (s^2 + 2.786e013) (s^2 + 5.715e013) -------------------------------------------------------------------------- (s+1.89e006) (s^2 + 2.217e006s + 1.034e013) (s^2 + 5.315e005s + 1.664e013) (s^2/2.786e013 + 1) (s^2/5.715e013 + 1) = ---------------------------------------------------------------------------------------- (s/1.89e006 + 1) (s^2/1.034e013 + s/4.6640e+006 + 1) (s^2/1.664e013 + s/3.1308e+007 + 1) -10 0 B] -0.5 0 B] -30 -20 Magnitude [dB -2 -1.5 -1 Magnitude [dB 10 4 10 5 10 6 10 7 -50 -40 10 5 10 6 -3 -2.5 B. Murmann 5 EE315A HO #5 Frequency [Hz] Frequency [Hz] Pole and Zero Locations 1.5 ω P Q P p 1,2 -42.30 ± j6.4783 kHz 649.21 kHz 7.6748 0.5 1 ] p 3,4 -176.45 ± j4.8030 kHz 511.68 kHz 1.4499 p 5 -300.80 kHz 0 m ag [M H z z 1,2 ± j1203.2 kHz z 3,4 ± j840.1 kHz -1 -0.5 I -0.6 -0.4 -0.2 0 -1.5 Real [MHz] B. Murmann 6 EE315A HO #5
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