# hw1 - magnitude response falls below-50 dB Annotate the...

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EE315A Spring 2009 B. Murmann Page 1 of 1 Last modified 4/2/2009 9:46:00 AM HOMEWORK #1 (Due: Thursday, April 9, 2009, 1pm PT) 1. Cadence warm-up. Work through the “Virtuoso Tutorial” handout available on the course website under “CAD”. Submit a printout of the circuit schematic and phase response for R=150k Ω and C=10pF. One way to create a “nice” printout of your schematic is to export it as a SVG (scalable vector graphics) file. This can be done using the respective command under the EE315A menu of the schematic window. SVG files can be viewed and imported by a variety of tools including Microsoft Visio. 2. Matlab warm-up. Design a Chebyshev-II lowpass filter with 1 dB attenuation at a passband edge of 5 MHz and a stopband attenuation of 50 dB at 10 MHz. a) What is the required filter order? b) Plot the magnitude, phase response and group delay of the filter. From the magnitude plot, determine the -3 dB frequency of the filter and the frequency at which the
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Unformatted text preview: magnitude response falls below -50 dB. Annotate the given specifications in your plot using appropriate vertical and horizontal lines (see design example in handout #3). Submit a hardcopy of your plots. c) Create a plot that shows all pole and zero locations in the s-plane. For each complex-conjugate pole pair, compute the poles’ distance from the origin ( ω P ) as well the corresponding Q P and summarize your results in a table. Convince yourself that the nulls in the magnitude response occur at frequencies equal to the magnitudes of the filter’s zeros. 3. Show that the group delay of a first order RC lowpass is given by the filter’s time constant multiplied by its squared magnitude response. This result is interesting and intuitive, as it shows that signals with low-frequency content will see little phase distortion or “shape deformation” as they pass through the filter....
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## This note was uploaded on 08/23/2009 for the course EE 315A taught by Professor Borismurmann during the Spring '09 term at Stanford.

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