6 Slide 11 Digital Signal Processing Radar System We can represent the received signal as Y(n) = a x(n-D)+ w(n) Where a is attenuation factor X(n) is the transmitted signal. THE DISCRETE FOURIER TRANSFORM, PART 6: CROSS-CORRELATION 18 JOURNAL OF OBJECT TECHNOLOGY VOL. 9, NO X•Y = xiyi i ∑ (2) When (1) is computed, for all delays, then the output is twice that of the input. The most dominant cross correlations occur somewhere between h =−10 and about h = −4. It’s difficult to read the lags exactly from the plot, so we might want to give an object name to the ccf and then list the object contents. The following two commands will do that for our example.

Auto correlation and cross-correlation (part 1), time: 6:27

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Example: Cross-correlation used to establish symbol timing by comparing an incoming signal with a known bit sequence to identify a known bit pattern to reference to for system timing. Example: Correlation is used for analyzing fractal patterns. Autocorrelation & Cross-correlation Applications Cross-corrrelation & Autocorrelation 1. 6 Slide 11 Digital Signal Processing Radar System We can represent the received signal as Y(n) = a x(n-D)+ w(n) Where a is attenuation factor X(n) is the transmitted signal. zero or negative indexes the cross correlation sample with zero lag is the central element in the output vector. An alternate way of doing the cross correlation without padding with zeros is using the conv command (phixy = conv(y,x(end: ))).
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