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T. P. Traitement du Signal Maîtrise E.E.A. - LASC

T. P. Traitement du Signal Maîtrise E.E.A. - LASC

T. P. Traitement du Signal Maîtrise E.E.A. - LASC

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6 SPTool: A <strong>Signal</strong> Processing GUI Suite<br />

L<br />

∏<br />

Hz () = H k () z =<br />

k = 1<br />

L<br />

b 0k + b 1k z – 1 +<br />

∏<br />

b z–<br />

2<br />

--------------------------------------------------------- 2k<br />

1 + a 1k z – 1 + a z–<br />

2<br />

2k k = 1<br />

The SOS Matrix field specifies a variable name or a value for the L-by-6 SOS<br />

matrix<br />

b 01 b 11 b 21 1 a 11 a 21<br />

sos =<br />

b 02 b 12 b 22 1 a 12 a 22<br />

M M M M M M<br />

b 0L b 1L b 2L 1 a 1L a 2L<br />

whose rows contain the numerator and denominator coefficients b ik and a ik of<br />

the second-order sections of H(z).<br />

Note If you import a filter that was not created in SPTool, you can only edit<br />

that filter using the Pole/Zero Editor.<br />

Importing Spectra<br />

When you import a power spectral density (PSD), you specify:<br />

• A variable name or a value for the PSD vector in the PSD field<br />

• A variable name or a value for the frequency vector in the Freq. Vector field<br />

The PSD values in the PSD vector correspond to the frequencies contained in<br />

the Freq. Vector vector; the two vectors must have the same length.<br />

6-42

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