The discrete signals x[n] and y[n] are shown. Find their zero-lag cross-correlation rₓᵧ[0] using the average over the eight shown samples. The source labels the quantity rₓᵧ[0] without stating this normalization.
At zero lag the nonzero products occur at n=0,3,4,7, each equal to 1/√2. Their sum is 2√2. The official B uses the average over eight samples: r[0]=(2√2)/8=1/(2√2). An unnormalized finite-sequence cross-correlation sum would instead be A; the source omits that convention, so the official normalization is made explicit here.
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