In many signal processing applications the original signals are usually transformed to some other forms which are more appropriate for processing or are otherwise more desirable. Most of them are linear transforms

such as convolution and matched filtering. A transversal filter has the capability of highly parallel operation

as it can perform a large amount of weighted sum operations simultaneously. Therefore

it is especially suitable to perform various linear transforms. Particularly

the transversal filters

implemented by CCD and SAW devices in sample analog and analog forms

have higher speed of transform

higher packing density and lower power consumption. This paper summarizes the various linear transforms which can be implemented by transversal filters

including chirp-z transform

sliding chirp-z transform

prime transform

discrete cosine transform

discrete cosine prime transform and two dimensional chirp-z transform. This paper also makes some predictions about possible trends in this field in the near future.