Methods and apparatus for implementing a receiver filter with logarithmic coefficient multiplication

Abstract

A method of filtering a signal, the method including the steps of sampling analog input signal, thereby providing a purality of digital complex input signal samples the each of the samples indicates a sign and a magnitude, for each of the complex input signal samples demultiplexing the complex input signal sample into a first sign component and a first magnitude component, performing a logarithmic conversion on the first magnitude component, thereby resulting in a first logarithmic value, demultiplexing a complex coefficient into a second sign component and a second magnitude component, performing a logarithmic conversion on the second magnitude component, thereby resulting in a second logarithmic value, adding the first and second logarithmic values, thereby resulting in a third logarithmic value, performing an antilog conversion on the third logarithmic value, thereby resulting in an antilog value, XORing the first and second sign components, thereby resulting in an output sign, providing the antilog value as an output signal component having the output sign where both of the first and second magnitude components have nonzero values, and providing an output signal component having a zero value where either of the first and second magnitude components has a zero value, and summing the output signal components, thereby providing a filtered signal.