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5.1 LMS Adjusted Discriminants 153

any two sinusoidal inputs with 7c/2 phase lag from each other, as represented in
Figure 5.4.

Figure 5.3. Discretized ECG tracing (3.4 seconds) with added 50 Hz noise.
Sampling rate is 500 Hz and amplitude is in microvolts. The jagged contour of the
signal is due solely to its discrete representation.

,
Linear Discriminant (Filter)
- .- . -- - t(t) (Target: ECG + noise)

-. - .-- -- -
Figure 5.4. Linear discriminant used to regress a 50Hz sinusoid with unknown
phase and amplitude.

Figure 5.5. Output of the linear discriminant (black) regressing the noise (grey) for
a learning rate ~0.002. Only the first 0.6 seconds are shown.