An Approach in Designing 16-point DFT with Decimation in Time based on Rademacher Functions
Keywords:8-Point DFT, Decimation In Time, Fourier Transforms, Walsh Transform,
AbstractThis paper presents a circuit design for 16-point DFT algorithm with Decimation in Time based on products of Rademacher functions. The designed circuit is constructed from two 8-point DFT and four 2-point DFT. However, the operation of the design circuit is different. It utilised the advantages of the similarity of Fourier transforms, and Rademacher functions. Therefore, the proposed design is constructed from previously designed 8-point DFT which is based on products of Rademacher functions. Some analysis of the type of numbers, internal connections and the complex conjugate of the results to achieve the more efficient circuit has been made. Therefore, instead of eight, the proposed design requires only five 2-point DFTs. Therefore, six output results of the design 16-point DFT have been removed since they are equal regarding magnitude to the other results, but six negative circuits are required as compensation. Therefore, the previously designed circuit of 8- point DFT has been replaced with the new circuit design. This circuit is specially designed for non-standalone used; the circuit must be integrated inside the proposed 16-point DFT.
How to Cite
TRANSFER OF COPYRIGHT AGREEMENT
The manuscript is herewith submitted for publication in the Journal of Telecommunication, Electronic and Computer Engineering (JTEC). It has not been published before, and it is not under consideration for publication in any other journals. It contains no material that is scandalous, obscene, libelous or otherwise contrary to law. When the manuscript is accepted for publication, I, as the author, hereby agree to transfer to JTEC, all rights including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the author(s) specifically retain(s):
- All proprietary right other than copyright, such as patent rights
- The right to make further copies of all or part of the published article for my use in classroom teaching
- The right to reuse all or part of this manuscript in a compilation of my own works or in a textbook of which I am the author; and
- The right to make copies of the published work for internal distribution within the institution that employs me
I agree that copies made under these circumstances will continue to carry the copyright notice that appears in the original published work. I agree to inform my co-authors, if any, of the above terms. I certify that I have obtained written permission for the use of text, tables, and/or illustrations from any copyrighted source(s), and I agree to supply such written permission(s) to JTEC upon request.