Geserate three dinusoids with the followlag anplirades and pesses x1(r)=5cos(2(500)r)x1(r)=5cos(2(1200)r+0.25)x1(r)=3cos(2(1200)+0.5x) a) Determine a sampling frequency and a duration id time se thut yos can yieraf att thenr b) Suppose the sampling treyorocy in Fs o 1/ Tr ant the kapiling deration in Thical What in the ampling ratel. What in the data collertion interal? HINT: Fs * Te - ilther r-0, Instrecali x+ x2= n3 = figuser mueptet [2, talla plotert, adid Verify that the phaben of all thrwe signale ary carrect, and werty that ract noe has the ioned mavimam anplinude. b) Create a progran te generate the num ef eliausidu by adfing three gronent a mone x(t)=x1(t)+x2(t)+xn(t) =5000(2r(500)r)+5000(2r(1200)r+0.25r)+300(2r(1800)r+45r) Make a plet of a(t) over the same raney ieltime as utod an (1.77. DIGITAL, SIGNAL PROCESSING LABORATORY figure; subplief(2t.1)kplotiti) (frequency componeste) To obtain frequency erepencots deturminitic. To piot the piectrum: fasmencent Mk - atuifte (x))/1 ength x ) i f-k*taflength (x)y in conyert xx to 10 autplot (2,1,2)=p let (1, Ake : Labril and pirt your gragh. What frequrnces are shown in the signal ipectral plier? What in the maimum lreysescy walue that you can aree? What in ate frequency resolutien based oe the matab gropratif