A 2-D FIR filter structure derived from the Chebyshev recursion

Abstract

A new structure is proposed for the implementation of 2-D FIR digital filters designed by transformations of 1-D filters. This structure requires a minimum number of multiplications and uses directly as coefficients the impulse response samples of the 1-D prototype filter. The roundoff noise of the new structure is analyzed in detail and is shown to be superior to that of previous implementations for all examples studied.