Week 07
Matched Filters and Detection
I use the saved course file to reconnect sampling, baseband transmission, digital modulation, and error-rate analysis.
What I connect in this unit
A correlator forms a decision statistic as an inner product with the reference pulse, while a matched filter implements the same operation by convolution. In AWGN it collects signal energy for maximum sampled SNR before threshold detection.
Concept map
- Correlators
- Matched filters
- Decision thresholds
- Maximum SNR
Technical anchor
For pulse p(t), the matched impulse response is h(t) = kp*(T − t), and y(T) = ∫r(t)p*(t)dt equals the correlator output.
How I review it
Place a threshold between the mean decision statistics of two binary hypotheses and sketch which distribution tail produces each error event.
Connection to the full course
Unit 7 of 12. Unit numbers expand topics from the saved file into a concept sequence, not an attendance-week record.