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Wonderful good very good document, Schemes and Mind Maps of Digital Signal Processing

Indian Institute of TechnologyDigital Signal Processing

Tutorial of Digiatl signal processing

Typology: Schemes and Mind Maps

2019/2020

Uploaded on 02/17/2023

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8.68. Substituting the expression for X[k] from equation (8.164) into equation (8.165), we get: 2N-3 z,[n] = wo . & Xy [kloan ~ 3) 1 2N - kN Note that: 2N-3 n-2 > XMQN —2— keiteen/an-2) > XA pjeiBe(QN-2-1)n/(2W—2) k= N rl N-2 = xe sreven—2) k=l therefore: 1 x(n} = ine awa! Xpjesten/QN~2) = Xi k]ens2ekR (IN 2) = We DN p(X) + XUN — eit 4 = XRl(oPMO/AN~2) 5 g-H2xkM/(2N-2))) Pa xkn = 3 e ZAM) + XW ~ ele" + YY XR] c08( =) isl and: a{n] = afr) forn =0,1,...,N—1 = O k=Oandn-1 1, 1SkSN-2. This completes the derivation.