The two-frequency correlation function x (N, ) is often used in radar and sonar to evaluate
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The two-frequency correlation function Фx(N, ω) is often used in radar and sonar to evaluate the frequency and travel-time resolution of a signal. For discrete-time signals, we define
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x[n+ N]x*[n – N]e¬jom Ox{N, w) = %3D n=-00 (a) Show that Ox(-N. -w) = 0;(N, w). (b) If 0 < a < 1, x[n] = Aa"u[n], find O;(N, w). (Assume that N 2 0.) (c) The function O;(N, w) has a frequency domain dual. Show that x (elv+(w/2}!) x* (e'lv-(w/2))ei2uNdv. Ox(N, w) = 2л %3D
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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