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Description
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Complex transfer function, with up to
three each of simple poles, simple zeroes, complex poles, and complex zeroes. -
Higher order poles and zeroes are supported.
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For example, enter zero frequency and zero sigma to specify second-order poles at the origin.
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Enter zero frequency to specify single simple poles and zeroes at the origin.
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For more complex transfer functions, cascade similar blocks or cascade with the pole, zero, complex pole, differentiator, and integrator blocks.
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Always use the earlier numbered singularities first. For example, if the number of poles is set to 1, then only pole 1 has effect. The cases of zeroes and complex pairs are similar.
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Library name
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transferFunction1
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Transfer function
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Where
fzi is the freqZeroi
fczi is the freqConjZeroj
σczj is the sigmaConjZeroj
fpk is the freqPolek
fcpl is the freqConjPolel
σcpl is the sigmaConjPolel
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Properties (Defaults)
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dcGain (1)
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dc and low frequency gain.
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inputR (1G ohm)
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input resistance.
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inputC (0)
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shunt input capacitance.
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outputR (0.001 ohm)
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series output resistance.
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outputC (0)
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output capacitance, parallel with outputR.
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nPoles (0)
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number of real-valued poles. (maximum 3)
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nZeroes (0)
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number of real-valued zeroes. (maximum 3)
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nConjPoles (0)
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number of complex-conjugate poles. (maximum 3)
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nConjZeroes (0)
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number of complex-conjugate zeroes. (maximum 3)
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freqPole1 (1000)
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break frequency of pole1.
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freqPole2 (2000)
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break frequency of pole2.
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freqPole3 (3000)
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break frequency of pole3.
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freqZero1 (1000)
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break frequency of zero1.
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freqZero2 (2000)
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break frequency of zero2.
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freqZero3 (3000)
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break frequency of zero3.
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freqConjPole1 (1000)
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damped natural frequency of complex pole1.
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sigmaConjPole1(-5)
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damping (exponential) term for complex pole1.
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freqConjPole2 (2000)
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damped natural frequency of complex pole2.
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sigmaConjPole2(-5)
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damping (exponential) term for complex pole2.
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freqConjPole3 (3000)
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damped natural frequency of complex pole3.
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sigmaConjPole3(-5)
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damping (exponential) term for complex pole3.
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freqConjZero1 (1000)
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damped natural frequency of complex zero1.
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sigmaConjZero1(-5)
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damping (exponential) term for complex zero1.
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freqConjZero2 (2000)
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damped natural frequency of complex zero2.
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sigmaConjZero2(-5)
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damping (exponential) term for complex zero2.
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freqConjZero3 (3000)
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damped natural frequency of complex zero3.
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sigmaConjZero3(-5)
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damping (exponential) term for complex zero3.
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Input impedance
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Infinite
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Output impedance
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Zero
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Frequency response
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Function of the input properties.
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