TABLE OF CONTENTS Essentially, there are four steps in the treatment of signal detection given above:
Formation of the PDFs of noise and signal plus noise.
Given a threshold, determination of P d and P fa.
Checking that, for a fixed threshold, P d depends only on the SNR, and that, as the SNR increases, so does P d.
Hence, verifying that a matched filter is appropriate.
We have carried out this sequence of steps for the simplified case where the incoming signals are at baseband. In practice, they will be at IF. This more realistic case is dealt with in Sec. 4.11.
