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BIOEN 316 - Signals and Sensors (Lecture 11)

by: Anastasia Nicolov

BIOEN 316 - Signals and Sensors (Lecture 11)

Marketplace > University of Washington > Bioengineering > BIOEN 316 Signals and Sensors Lecture 11
Anastasia Nicolov
GPA 3.75

Chris Neils

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About this Document

These are my lecture notes from Lecture 11 of BIOEN 316 from April 25, 2014. They consist of a practice worksheet for Quiz 2 with answers and example problems (filters and convolution).
Chris Neils
BIOEN 316, BIOEN 317, Bioengineering, Signals, Sensors
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This 2 page Reader was uploaded by Anastasia Nicolov on Sunday May 4, 2014. The Reader belongs to a course at University of Washington taught by a professor in Fall. Since its upload, it has received 99 views.


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Date Created: 05/04/14
BEOEN 315 i JW Srrrins 2014 vquotquot V V K 39 39 quot n i ac t i 8 Suppose that a system has a unit impulse response hit r exp 2tcos6ritut What is the result of each of the following mathesmlaiticall operations Provider a statement and figure fl at K r 1llll l gt a Convolving hit with an impulse r5t5 tsesttiis 0 i e i Tquot igl il3lquotamp n r 3939rE T p b Convolving hit 0G a step function ullt5 lsjtw sgeg r3ee i 3 P 4 quotgr c Multiplying ht by a step function ult5 33 gags 0 ari23 e as 9 Suppose we have gone through the steps to create a band pass finite limpulse response filter using the window design method ie inverse FT of the ideai frequencyquot response but the filter did not turn out quite as we had hoped What could we do in order to fix or irnprove each of the following situations a There is too much ripple in the magnitude spectrum igi ielis 3 b The entire band 20 Hz too high ie both cutoff frequenciels are too high p asst m t ic m q c The width of the pass band in llI2 is too large state iT eis ts ewe tgfqeueilj ig tee d The filter runs too siowlv too amanyl calculations per output for our iappliacaltion quot wn Hg le e The filter itself is OK but when we plot the magnitude spectrum the plot is jagged insufficient frequency resolution vi 51 R eill hale ee quot39 quotquot l Twig MV T a 5 VJ 3r evr eel 10 Explain how multiplication can he used to convert a sequence of low pass filter coefficients hmwlnl into a set of highpass filter coeffinients hHGHn A cosine of finite length is called a ga teclcosine because it has been abruiptly truncated at both ends as if only part of it had passed through a gate Let hlnl be a sampled gated cosine that completes exactly four cwzlres it is sampled fast enough to get six samples per caycie 24 samples in all We use him to filter signal xlnl 11 Which general type of filter is produced y convolving hln with a long signal xln a Lowpass filter c High pass filter N BandD355 fiiltei sre ris439ir amp p N d Bandstop or laanldreject filter Cgl al i 39 53 12 Sketch the general shape of the magnitude spectrum of the filter Label important points along the frequeneyr axis Print date 4f252014


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