The 2-D Modulated Discrete Fourier Transform for 2-D fast convolution and digital filtering

Recently the Quadratic Modified Fermat Number Transform (QMFNT) based on Left-angle and Right-angle Circular Convolution (LCC and RCC) was extended to define a new Modified Discrete Fourier Transform (MDFT) that relies on a similar combination of RCC and LCC. It was shown that the MDFT enables overlap-add FFT block processing to be implemented without zero padding, resulting in reduced computational complexity and potentially reduced power requirements for nanoscale VLSI implementations. This paper extends the MDFT into two dimensions and analyzes how the 2-D extension manages two-dimensional wrap-around effects while implementing 2-D overlap-add block processing without zero padding.