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The number of poles must be greater than or equal to the number of zeros. If the poles and zeros are complex, they must be complex-conjugate pairs.

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For a multiple-output system, all transfer functions must have the same poles. The zeros can differ in value, but the number of zeros for each transfer function must be the same.

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Note You cannot use a Zero-Pole block to model a multiple-output system when the transfer functions have a differing number of zeros or a single zero each. Use multiple Zero-Pole blocks to model such systems.

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Modeling a Single-Output System For a single-output system, the input and the output of the block are scalar time-domain signals. To model this system: Enter a vector for the zeros of the transfer function in the Zeros field. Enter a vector for the poles of the transfer function in the Poles field.

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Enter a 1-by-1 vector for the gain of the transfer function in the Gain field. Modeling a Multiple-Output System For a multiple-output system, the block input is a scalar and the output is a vector, where each element is an output of the system.

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To model this system: Enter a matrix of zeros in the Zeros field. Each column of this matrix contains the zeros of a transfer function that relates the system input to one of the outputs. Enter a vector gains dans blockcan the poles common to all transfer functions of the system in the Poles field.

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Enter a vector of gains in the Gain field. Each element is the gain of the corresponding transfer function in Zeros.

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Each element of the output vector corresponds to a column in Zeros. Transfer Function Display on the Block The Zero-Pole block displays the transfer function depending on how you specify the zero, pole, and gain parameters.

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Gains dans blockcan you specify each parameter as an expression or a vector, the block shows the transfer function with the specified zeros, poles, and gain. If you specify a variable in parentheses, the block evaluates the variable.

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For example, if you specify Zeros as [3,2,1], Poles as poleswhere poles is [7,5,3,1], and Gain as gain, the block looks like this. If you specify each parameter as a variable, the block shows the variable name followed by s if appropriate.

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For example, if you specify Zeros as zeros, Poles as poles, and Gain as gain, the block looks like this.