FPGA Hardware Realization: Addition of Two Digital Signals Based on Walsh Transforms

Abstract

This paper presents hardware realization of an addition of two digital signals based on Walsh transforms and inverse Walsh transforms targeted to the Xilinx FPGA Spartan 3 board. The realization utilizes Walsh Transform to convert the input data to the frequency domain and the inverse Walsh transform to reconvert the data from the frequency domain. The designed system is capable of performing addition, subtraction, multiplication and Arbitrary Waveform Generation (AWG). However, in the present work, the hardware realization of addition only has been demonstrated. The Clock frequency for realization into the board is supplied by an external function generator. Output results are captured using a logic analyzer. Input data to the board (system) is passed manually through the available slide switches on-board.

FPGA Realizations of Walsh Transforms for Different Transform and Word lengths into Xilinx and Altera Chips

“…However, even less, the technique for inverse Walsh transforms also have been elaborated [10]. The hardware implementation has also conducted recently for proofing the addition concept using Walsh transforms, and inverse Walsh transforms [11]. The primitive Spartan 3 has been used in the implementation, and the results were captured using a logic analyzer at 20 MHz.…”