Yes it is possible. Txhua lub teeb liab aperiodic tuaj yeem sawv cev raws li lub sijhawm teeb tsa ntawm lub sijhawm 0-2 pi, qhov twg 2 pi yog lub sijhawm thaum lub teeb liab tau tso tseg.
Yuav ua li cas convolution tuaj yeem ua rau lub sijhawm teeb tsa?
Circular convolution, tseem hu uaas cyclic convolution, yog ib rooj plaub tshwj xeeb ntawm lub sij hawm convolution, uas yog lub convolution ntawm ob lub sij hawm uas muaj tib lub sij hawm. Periodic convolution tshwm sim, piv txwv li, nyob rau hauv cov ntsiab lus ntawm discrete-time Fourier transform (DTFT).
Qhov tshwm sim ntawm lub sijhawm hloov pauv ntawm cov teeb liab yog dab tsi?
Kev piav qhia: Qhov no yog cov cuab yeej tseem ceeb ntawm lub sijhawm txuas mus ntxiv plaub zaug, nws ua rau qhov xaus tias qhov tshwm sim ntawm lub sijhawm sib tw yog qhov sib npaug ntawm cov cim hauv qhov ntau zaus sawv cev.
Vim li cas linear convolution hu ua ib ntus convolution?
Cov no yog hu ua lub sijhawm sib tw sib tw. Muab qhov kev txhawb nqa tsis kawg ntawm cov cim ntu ntu, qhov sib npaug ntawm lub sijhawmcov cim tsis muaj nyob - nws yuav tsis kawg. Lub caij nyoog convolution tsuas yog ua rau lub sijhawm ntawm cov cim qhia ntawm tib lub sijhawm.
Yuav ua li cas koj xam lub caij nyoog convolution?
f[n]⊛g[n] yog lub voj voog ncig (Nqe 7.5) ntawm ob lub cim ntu ntu thiab sib npaug rau qhov sib npaug ntawm ib qhointerval, i.e. f[n]⊛g[n]=N∑n=0N∑η=0f[η]g[n−η]. Lub voj voog convolution nyob rau hauv lub sij hawm sau yog sib npaug rau qhov sib npaug ntawm Fourier coefficients.
