Consider the two-dimensional linear filter given as the output (4.149). (a) Express the two-dimensional autocovariance function of the output, say, y(h1, h2), in terms of

Consider the two-dimensional linear filter given as the output (4.149).

(a) Express the two-dimensional autocovariance function of the output, say,

γy(h1, h2), in terms of an infinite sum involving the autocovariance function of xs and the filter coefficients as1,s2 .

(b) Use the expression derived in (a), combined with (4.148) and (4.151) to derive the spectrum of the filtered output (4.150).

The following problems require supplemental material from Appendix C