Galileo's Problem with PRS or What's in a Phase?

<table>Absolute multi-path error in main peak (fine estimate). Rectified correlation. Linear phase TX filter <svg height="15.25" id="M46" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 18.575001 15.25" width="18.575001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> = 40 × 1.023 MHz as GIOVE-B. Red: cosine option; blue: sine option. Matching filter is <svg height="15.35" id="M47" style="vertical-align:-3.35248pt" version="1.1" viewbox="0 0 18.625 15.35" width="18.625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> = <svg height="15.25" id="M48" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 18.575001 15.25" width="18.575001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><path d="M594 511q0 -122 -171 -157l1 -2q158 -33 158 -159q0 -52 -34.5 -95t-90.5 -65q-76 -33 -217 -33h-223l8 28q63 5 79.5 19t26.5 72l83 426q9 48 -2.5 60t-77.5 17l6 28h259q195 0 195 -139zM499 509q0 59 -37 83t-91 24q-36 0 -51 -9q-17 -9 -22 -44l-35 -195h62
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</svg>.</table>

International Journal of Navigation and Observation

Galileo's Problem with PRS or What's in a Phase?

Figure 12