The 5th International Conference on Electrical Engineering and Informatics 2015 August 10-11, 2015, Bali, Indonesia A Novel 4-Point Discrete Fourier Transforms Circuit based on Product of Rademacher Functions Zulfikar1, Hubbul Walidainy2 Department of Electrical Engineering Syiah Kuala University Banda Aceh 23111, Indonesia. E-mail:
[email protected],
[email protected] Abstract—This paper presents a new circuit design for algorithms have been developed for certain purposes and each implementing 4-point DFT algorithm based on product of of them comes with advantages and drawbacks. Rademacher functions. The circuit has been derived from the similarity of how Fourier transforms and Walsh transforms are Walsh transforms algorithm is simpler than Fourier implemented. Walsh matrices contain numbers either +1 or -1 transform, but this transformation model is rarely used in except for first row. Similarly, the 4-point DFT matrix contain application and almost forgotten. Walsh transforms has a few numbers either positive or negative except for first row. This similarity to the Fourier transforms [2]-[5]. Based on this, some similarity has been taken into the case of how to implement the researchers have adopted this algorithm for developing the DFT circuit based on how Walsh transforms is generated. Since more efficient Fourier transforms [6]-[8]. An algorithm for Walsh transforms is derived based on product of Rademacher calculating DFT using Walsh transforms is developed through functions, the proposed 4-point DFT circuit is designed according the factorization of intermediate transform T [6]. Monir T et al to product Rademacher functions. The circuit consist of negative proposed an efficient combination of Walsh and DFT circuit, multiplexers, accumulator (real and imaginary), buffers, calculation.