\contentsline {section}{\numberline {1}Introduction}{1} \contentsline {section}{\numberline {2}Design principle}{2} \contentsline {subsection}{\numberline {2.1}Digital filters in the current design}{2} \contentsline {subsection}{\numberline {2.2}Bandpass digital filter}{2} \contentsline {subsection}{\numberline {2.3}Digital LO with digital phase shift}{2} \contentsline {subsection}{\numberline {2.4}Digital LO with complex correlation}{3} \contentsline {section}{\numberline {3}Implementation}{4} \contentsline {subsection}{\numberline {3.1}Digital LO and multipliers}{4} \contentsline {subsection}{\numberline {3.2}Complex correlator}{5} \contentsline {subsubsection}{\numberline {3.2.1}Complex correlation in ALMA baseline correlator}{5} \contentsline {subsubsection}{\numberline {3.2.2}Complex correlator chip}{6} \contentsline {section}{\numberline {4}Advantages and disadvantages}{7} \contentsline {section}{\numberline {5}Quantization efficiency}{8} \contentsline {section}{\numberline {6}Spur levels for a digital sinusoid}{10} \contentsline {section}{\numberline {7}Simulations}{12} \contentsline {section}{\numberline {8}Conclusions}{13}