Inspect
Review the problem, diagram, and evidence.
Four 20 kHz channels looked like an 80 kHz jobβuntil the guard bands were counted.
Inspect, commit, prove, fix, and sign off.
Follow the investigation process used in the field β in five guided steps.
Review the problem, diagram, and evidence.
Choose your hypothesis.
Run calculations and test your idea.
Select and validate a safe correction.
See the full debrief and key takeaways.
A frequency-division multiplexing plan combines four channels, each occupying 20 kHz, with a required 5 kHz guard band between adjacent channels. The planner reserves 80 kHz by summing only the channel bandwidths, but the fourth channel cannot fit without violating spacing. Calculate the required spectrum and identify the correct number of guard bands.
Find the root cause, confirm the fix, and see how this connects to the exam.
An 80 kHz allocation was too small for the four-channel plan.
Guard bands were treated as if they consumed no spectrum.
Total span = NB + (N-1)G when guard bands occur only between adjacent channels.
For four 20 kHz FDM channels with 5 kHz guard bands only between adjacent channels, there are three guard bands. Total spectrum is 4Γ20 + 3Γ5 = 95 kHz.
For N equal FDM channels with guard band G only between adjacent channels, total occupied span is N B + (N-1) G.
Three, assuming guard bands are required only between adjacent channels.
95 kHz.
Each case is designed to build the judgment, analysis, and confidence you need for engineering exams β and beyond.
Basic subject familiarity helps, but every case is designed to teach through the investigation itself.
Most cases are designed for a focused 5β10 minute investigation.
Each case is mapped to a verified exam, subject, topic, and misconception before publication.
The sealed debrief unlocks with the root cause, corrected reasoning, fix, and takeaway.