The Wold representation of wide-sense stationary processes with continuous parameter is obtained from a general Cramer representation of second-order processes, continuous in quadratic mean.
"Deduction of Wold Representation of Stationary Processes from Cramer Representation of Second-Order Processes." Ann. Probab. 3 (3) 546 - 548, June, 1975. https://doi.org/10.1214/aop/1176996360