Abstract

By expressing the frequency response of a Nyquist filter as a convolution of two functions, the mathematical complexity required to find the impulse response of the filter is reduced. Moreover, more efficient Nyquist filters than the popular Raised Cosine filter (i.e. wider 3 dB bandwidth, same absolute bandwidth, and shorter or same length impulse response) are generated by using well known Window functions such as Ramming and Blackman.

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