Finite Impulse Response (FIR) Filter Design using Canonical Signed Digits (CSD)

In the presented work, it is proposed to design and analyze a high order FIR filter based on canonical signed digits representation of coefficients in order to minimize the power consumption and fast implementation of the filter. The designed FIR filter is proposed to implement using MATLAB tool and to be tested on high speed communication signal. Although a few works addressed the problem of reducing the complexity of coefficient multipliers in reconfigurable FIR filters, hardly any work demonstrated reconfigurability in higher order filters. Moreover, it is observed that there is sufficient scope for more work on complexity reduction in reconfigurable filters especially for wireless communication applications where higher order filters are often required to meet the stringent adjacent channel attenuation specifications. The CSD based computation and selection of filter coefficients for higher order FIR filters has been identified as a problem to solve in the presented work. An additional approach is proposed i. e. factored canonical signed digits based coefficients computation that serves a great purpose while reducing the power consumption in FIR filter design, the main filter design, selection and implementation parameter.