A Novel Complete Set of Walsh and Inverse Walsh Transforms for Signal Processing

Author

Yusuf, Zulfikar M. ; Abbasi, Shuja A. ; Alamoud, A.R.M.

Author_Institution

Dept. of Electr. Eng., King Saud Univ., Riyadh, Saudi Arabia

fYear

2011

fDate

3-5 June 2011

Firstpage

504

Lastpage

509

Abstract

In this paper, we design and implement a novel complete set of Walsh and inverse Walsh transforms for signal processing. The system consists of Walsh Transforms (WT), Digital Signal Processing (DSP) block, inverse Walsh transform (IWT) and a dividing block. The Walsh and inverse Walsh transforms are designed to produce correct results for any input data combinations. A DSP block is designed to perform addition, subtraction and dyadic convolution of Walsh coefficients of two signals. It is found that the proposed Walsh transform structure is superior to many of the reported results when it is implemented on FPGAs.

Keywords

Walsh functions; convolution; field programmable gate arrays; inverse transforms; signal processing; DSP block; FPGA; Walsh transform structure; data combinations; digital signal processing block; dyadic convolution; inverse Walsh transforms; subtraction convolution; Adders; Convolution; Digital signal processing; Field programmable gate arrays; Multiplexing; Transforms; Digital signal processing; Rademacher functions; Walsh coefficients; Walsh functions; Walsh series; Walsh transform; dyadic convolution; fast Hadamard transform; inverse Walsh transform;

fLanguage

English

Publisher

ieee

Conference_Titel

Communication Systems and Network Technologies (CSNT), 2011 International Conference on

Conference_Location

Katra, Jammu

Print_ISBN

978-1-4577-0543-4

Electronic_ISBN

978-0-7695-4437-3

Type

conf

DOI

10.1109/CSNT.2011.108

Filename

5966498