EECS 556, 2003, Noll Exam #1: 4

Transcription

1 EECS o Exa #: 4 3. Fite esig: a. Si tae te oute ouct *. b. Use δ [ δ ]'*[ δ ]. c. Hee we foow te fo of fequec saig escibe i sectio 4.3. of te text. We sae at te x 7 x7 ocatios a ivese DFT to get ou esie fite.. Hee we use te jic ie foui of Equatio 4.0b i te text but we oif as escibe i cass to ae sue te assba is aoxiate a te stoba is aoxiate 0. We ca aso oif te fite wit a cicua setic a soot fite to euce tucatio atifacts I i tis.

2 EECS o Exa #: 5 e. I ieetatios fite c. as te tigte esose but quite a bit of igig assba ie i site of aig tasitio egios to te fequec saig secificatio. Fites b. a. ave ve siia esoses i tes of bawit toug. is sigt oe setica cicua. Fite a. as a ve oo esose seaabe fites wo we fo ow-ass esigs but ve oo fo ig-ass a ba-ass esigs. ote te o-axis esoses. A fites ae 8 fo setic a. oos ea cicua setic but it is ot. Fite a. ue to its seaabiit is te ost coutatioa efficiet. Fite b. is ea as efficiet as it ca be ieete b ow ass fiteig te iage usig seaab ow-ass fites a te subtactig tis fo te oigia iage. Fites c. a. ave soe coutatioa efficiecies eate to 8 fo set but tese ae secoa to te seaabiit avatages. If te esose saes ie coutatioa issues wee a iotat te fite b. wou obab be best but it ea ees o te eative iotace of tese factos Coe: % soutio obe 3 exa EECS ; 64; figue % at a [ ]; a '*; a zeos[ ]; ai /--/:/-/; aaiaia; Ha eafftsiftfftfftsifta; ax [-/:/-]**i/; subot iagescaxaxha; cooa ga; cooba; axis iage xabe'\oega_x'; abe'\oega_'; tite'at a' % at b [ ] - ; b '*; b -b; b//b//; aaiaib; Hb eafftsiftfftfftsifta; subot iagescaxaxhb; cooa ga; cooba; axis iage xabe'\oega_x'; abe'\oega_'; tite'at b'

3 EECS o Exa #: 6 % at c wsa [-3:3]/7**i; [wxw] giwsa; ww abswxi.*w; Hsa ww - i/7*7//i.*ww > i/7.*ww < 3*i/7... ww > 3*i/7; c fftsiftifftifftsifthsa; aaiaic; Hc eafftsiftfftfftsifta; subot3 iagescaxaxhc; cooa ga; cooba; axis iage xabe'\oega_x'; abe'\oega_'; tite'at c' % at i [-3:3]; [] gii; absi.*es; wc *i/7; wc.*bessejwc.*./*i*; fit *cosi*./3/sqt; fit.*; % aoizatio./su:; %oaize -; ////; aaiai; H eafftsiftfftfftsifta; subot4 iagescaxaxh; cooa ga; cooba; axis iage xabe'\oega_x'; abe'\oega_'; tite'at ' figue subot [xx ] gi[:]; iagi fixx ; otaxha/:ax.*sqthaiagi xabe'\oega';abe'esose'; axis[ ] tite'o axis a iag esose at a'; subot otaxhb/:ax.*sqthbiagi xabe'\oega';abe'esose';axis[ ] tite'o axis a iag esose at b'; subot3 otaxhc/:ax.*sqthciagi xabe'\oega';abe'esose';axis[ ] tite'o axis a iag esose at c'; subot4 otaxh/:ax.*sqthiagi xabe'\oega';abe'esose';axis[ ] tite'o axis a iag esose at '; figue3 otax.*sqthaiagi'-'ax.*sqthbiagi':'... ax.*sqthciagi'-.'ax.*sqthiagi'--'... ax.*sqtabssqt.*ax > *i/7'-'; ege'a''b''c''''iea' xabe'\oega';abe'esose';axis[ ] tite'iag esoses';

4 EECS o Exa #: 7 4. Fo eac ats a. b.. a e. te outut iage size is 6x6 a te cete ixe is 33. See attace Matab coe fo ieetatios of tese ats. Resutat figue fo a ats ae ietica to witi ueica eo see ots. c. Lettig sq a we aso efie q. Obseve tat 5 so ust be cosiee to be zeo ae out to cou egt. Te covoutio is: 5 5 q sq q Oe issue is tat tis covoutio attaces te to of cou to te to of cou. Tis is siia toug ot exact te sae as cicua covoutio i te vetica iectio. Tus it is ecessa to a te cou sace of eac out to Tis is ot ecessa fo te to of te st cou a te botto of te ast cou. So te iiu egt of wi be 4x5 53. Te iiu egt of is 57x Te outut of te covoutio wi be te sae size outut fo te D covoutio.

5 EECS o Exa #: 8 Coe: % Exa obe ; [xx]gi[-/:/-]; ag i/6; sz sqt.*siag; x xx.*cosag.*siag; -xx.*siag.*cosag; s sicx.*sz.*sic.*sz; sq eafftsiftfftfftsifts; % te iage [ ; ; ; ; ]; % te fite % at a ia covsq; subot iagescia; cooa ga; cooba tite'at a' % at b sqa zeos[6 6]; a zeos[6 6]; sqa3:603:60 sq; a30:3430:34 ; ib eafftsiftifftfftfftsifta....*fftfftsiftsqa; subot iagescib; cooa ga; cooba sseb suia:-ib:.^; st sitf'at b SSEa-b %0.4g'sseb; titest % at z zeos[57 ]; [:;z;:;z;:3;z;:4;z;:5]; sqa sqa:; % eove uecessa zeos excessz 6*; sqaexcessz:e-excessz; % cov cov; i esae66; subot3 iagesci; cooa ga; cooba sse suia:-i:.^; st sitf'at SSEa- %0.4g'sse; titest egt; egt; -; a zeos[ ]; a a; a/-/:// ; a/--/:/-/ ; eafftsiftifftfftfftsifta....*fftfftsifta; ie esae66; subot4 iagescie; cooa ga; cooba ssee suia:-ie:.^; st sitf'at e SSEa-e %0.4g'ssee; titest