ee541F11HW05-06

ee541F11HW05-06 - EE 541 USC Viterbi School of Engineering...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
EE 541 USC Viterbi School of Engineering J. Choma Homework #05-#06 67 Fall Semester, 2011 U niversity of S outhern C alifornia USC Viterbi School of Engineering Ming Hsieh Department of Electrical Engineering EE 541: Homework Assignment #05-#06 Fall, 2011 Double Assignment, Due: 10/18/2011 Choma Problem #25: The active filter shown in Figure (P25a) utilizes three ideal operational tran- sconductor amplifiers and a linear network whose transfer function, V x /V i , is H(s) . Observe that two of the transconductors have identical I/O transconductances of G m , while the third transcon- ductor amplifier has an I/O transconductance of 2G m . Derive a general expression for the input - to- output (I/O) voltage gain, A v (s) = V o /V i . G m G m 2G m H(s) V o V i V x Figure (P25) Problem #26: The network of Figure (P25) is exploited by realizing the transfer function, H(s) , as the subcircuit comprised of a capacitance, C , and a transconductor whose transconduc- tance is G mi , as is depicted in Figure (P26). G m G mi V o V i G m 2G m V x C Figure (P26)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
EE 541 USC Viterbi School of Engineering J. Choma Homework #05-#06 68 Fall Semester, 2011 (a). Determine the I/O voltage transfer function, A v (s) = V o /V i . (b). Derive an expression for the envelope delay D( ω ) , of the entire network. (c). What is the I/O delay, D(0) , at zero signal frequency? (d). Comment about the characteristics and general quality of this network when it is used as a delay filter. Problem #27: Do Problem #2.3, Page 103, assigned textbook. Problem #28: The normalized impedance function, 42 53 s1 7 6 Z(s) , s 34s 225s  is to be realized as a lossless one port network featuring a capacitance in shunt with the two in- put terminals of the network. Realize this one port network and then, de-normalize it for a nor- malizing frequency of 100 MHz and a normalizing impedance of 300 . Problem #29: Realize the normalized impedance function, 2 2 2 s 3 5 Z(s) , 0 s 2 4 by two different one port networks. De-normalize each of the synthesized networks for a nor- malizing frequency of 800 MHz and a normalizing impedance of 75 . Problem #30: - - - End Homework #05 Recall that in class recently, a biquadratic filter having a general transfer function of the form, 2 21 0 2 10 bs bs b H(s) K , sa s a    was realized as in interconnection of several operational transconductors.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/22/2011 for the course EE 541 at USC.

Page1 / 6

ee541F11HW05-06 - EE 541 USC Viterbi School of Engineering...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online