Correlation and convolution are two essential signal processing functions used in digital communication systems. Low-power circuits and systems have become increasingly important as the world moves toward “anywhere anytime” connectivity. Mobile devices demand long battery lives and highly integrated base stations require low-power circuitry to ease the burden of system cooling. Low-power digital correlators and pulse-shaping filters can be achieved through the careful implementation of a biased summation algorithm. The computational method reduces the number of additions required to produce the correlation/convolution output value by skipping certain additions and correcting the summation by the addition of an appropriate bias value. Careful design at the transistor and logic levels is required to produce the low-power circuits. Low-power communication systems are also constructed by using efficient components, such as CIC filters, whose passband droop deficiency can be corrected.
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