FIR filter design using floating point radix 4 algorithm

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ABSTRACT:  Digital filters are generally used to vary or modify the features of a signal in the time or frequency domain. The most commonly used digital filter is FIR filter. FIR filter is mainly used in digital signal processing applications such as speech processing, sonar, radar and digital communication. The FIR filter is used to process the input signals by the linear convolution algorithm. It involves a series of addition and multiplication operation. So, the primary building block of the FIR filter is considered as multiply-accumulate (MAC) unit. This paper proposed to use novel floating-point radix 4 algorithms to multiply the input impulse responses. This algorithm helps to enhance the performance of the filter in terms of speed. Various rounding techniques will be used for the filter accuracy. The output response of the proposed filter will be simulated in the virtual software and hardware environment with the MATLAB software. The brief investigation of the fixed and floating-point signal will be discussed.

Keywords:Complex signal, floating-point signal, fixed-point signal, FIR filter, multiply-accumulate, radix 4

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