page_title: Transmission zeroes
section_title: State variable derived
hierarchical_section_title: Transmission zeroes / Circuits with transmission zeroes / State variable derived
caption_attribution_description: English: A state variable filter derivation that has transmission zeroes under the condition that R1/R4 = R7/R6.
context_page_description: A transmission zero is a frequency at which the transfer function of a linear two-port network has zero transmission. Transmission zeroes at zero frequency and infinite frequency may be found in high-pass filters and low-pass filters respectively. Transmission zeroes at finite, non-zero frequency may be found in Band-stop filters, elliptic filters, and Type II Chebyshev filters. Transfer functions with both zero and infinite frequency can be found in band-pass filters. A transfer function may have multiple zeroes at the same frequency. A transfer function may have any number of transmission zeroes at zero frequency and infinite frequency, but transmission zeroes at finite non-zero frequency always come in conjugate pairs.
context_section_description: The filter circuit to the left has the following transfer function:
  This circuit produces transmission zeroes at
  when R₁/R₄ = R₇/R₆.
caption: A state variable filter derivation that has transmission zeroes under the condition that R1/R4 = R7/R6.
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