Filter Source-Factor Depth Scans

Window High-Pass Cutoff Three-Row Scan

Three high-pass-cutoff rows show the lower edge of a band window opening. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A six-hertz high-pass cutoff gives a ten-unit window output

The low-pass cutoff stays 12 hertz. With high-pass cutoff 6 hertz, the passive window output is 10.

25⋅12⋅45=1025\cdot {1\over 2}\cdot {4\over 5}=10
Six-hertz high-pass cutoff rowA tighter lower cutoff removes more of the source budget.ffcratioinoutffcratioinouthighpasslowpass

A three-hertz high-pass cutoff keeps sixteen units

Lowering the high-pass cutoff to 3 hertz raises the high-pass ratio to 4/5. The window output is 16.

25⋅45⋅45=1625\cdot {4\over 5}\cdot {4\over 5}=16
Three-hertz high-pass cutoff rowThis is the book's base passive window.ffcratioinoutffcratioinouthighpasslowpass

A two-hertz high-pass cutoff keeps eighteen units

With high-pass cutoff 2 hertz, the high-pass ratio is 9/10. The same low-pass stage leaves 18 units.

25⋅910⋅45=1825\cdot {9\over 10}\cdot {4\over 5}=18
Two-hertz high-pass cutoff rowThree lower-cutoff rows show the pass band opening.ffcratioinoutffcratioinouthighpasslowpass