This paper presents a technique for synthetising linear signal-processing antenna arrays using wideband elements and a matched filter. It is shown that, for signals with a finite spectrum, such arrays will consist of a far lower number of elements and have smaller overall dimensions than conventional arrays for single-frequency c.w. operation with similar radiation characteristics. The elements are, in general, unequally spaced, and the detailed design procedure depends upon the signal spectrum. Examples are included which denionstrate quite drastically the advantages of such signal-processing arrays. Comparison with single-frequency Dolph—Chebyshev arrays emphasises these advantages.