A New Multiplier-free Transformation for the Design of Hardware Efficient Circularly Symmetric Wideband 2D Filters

In this paper, a new multiplier-free transformation is proposed for the design of low complexity two dimensional (2D) finite impulse response (FIR) filters with improved circularity at wideband radii. By designing the 1D filter multiplier-free and using proposed multiplier-free transformation, a 2D circularly symmetric multiplier-free filter can be realized. Accuracy of the circular contour is measured based on contour approximation error. To prove the hardware efficiency of the proposed transformation, a 2D band-pass filter and a low-pass filter are designed and the overall complexity in terms of the number of multipliers required to implement the 2D filters is compared. From the results it is clear that the proposed transformation have good circularity at wideband radii and have less implementation complexity.