Design of Diamond and Circular Filters by Semi-definite Programming
A new design for linear phase diamond-shaped (DS) and circular-shaped (CS) 2D filters is developed. First, the frequency masks are efficiently constrained by 2D second-order trigonometric polynomials. Then semi-definite programming (SDP) of reasonably low dimension is employed to effectively express the filter specifications. Several numerical examples are provided to demonstrate the superior performance of our design in comparison with all other existing designs.