山东大学2015-2016学年2学期数字信号处理（双语）课程试卷(A) TABLE 2.3 FOURIER TRANSFORM PAIRS TABLE 2.2 FOURIER TRANSFORM THEOREMS Sequence Fourier Transform Sequence Fourier Transform 1. 1 X(ej) 2.m-o】 e-jono 好 y Y(el) 1.ax(n]+byin] ax(el)+bY(el) 3.1(-o0n←0∞) ∑2红e+2的 2.x(n-ndl (n an integer) e-junX(ejo) 4.an(al<1) 1 3.eloonx[n] X(elw-wo)) 1-ae-而 4.x-n X(e-lo) 5.4n Xr(em)ifx网real. 5.nxIn] dx(el) TABLE 3.1 SOME COMMON Z-TRANSFORM PAIRS Sequence Transform ROC 家 6.网*n X(el)Y(ejw) 1.可 All z 7.x(nlyin] 2云人x(ve--aw 1 2.uln] 1 1-2 1d>1 游 3.-d-n- 1-x可 1<1 4.n-m All z except 0 (if m>0) TABLE8.2 or oo (if m<0) Properties of the DFT 5.a"uln] 1-a可 la lal Finite-Length Sequence(Length N) N-point DFT (Length N) 6.-ad-n-1] la<lal 1.x(n] XI周 2.x[n].x2ln] X:[).X2[k] TABLE 3.2 SOME z-TRANSFORM PROPERTIES 说 3.ax[n]+bx2in] aX因+bXl附 Section Reference Sequence Transform ROC 4.X Nx[((-k))N] xin] X(2) Rr 5.x[((n-m))N] WmX[内 a X R 6.Wyx[n] X(-)》N X2(z) Rn N- 3.41 网+br aX(z)+bx2(z) Contains R:nR X内X2R 3.42 x[n -no] 刷X() R.except for the possible 器 ∑n(mxI(n-mjN m= addition or deletion of N-1 the origin oroo 8.x[n]x2In] x()x2((k-6)N] 3.43 网 X(z/zo) lzoRr 3.4.4 网 Rr.except for the possible 是 addition or deletion of the origin or oo 第4页共4页2015-2016 2 数字信号处理（双语） （A） 4 4 Properties of the DFT