5.3 Methods for Analysis and Processing of Discrete Biosignals

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Fig. 5.33: Digital filter in the 1st canonical form (IIR filter).

Fig. 5.34: Digital filter in 2nd canonical form (IIR filter).

Fig. 5.35: Non-recursive digital filter in 1st, canonical direct form (FIR filter).

Equation 5.80) for the transformation of the transfer function Ghp(f) in the time do-

main:

ghp(nTa) = gtp(nTa) ⋅e^{j2π fa}

2 ^nTa = gtp(nTa) ⋅e^jπn = gtp(nTa) ⋅(−1)ⁿ .

(5.81)

Surprisingly, one now finds that the impulse response of the high-pass in this case

can be calculated quite simply from the impulse response of the low-pass, if at every