Transform Reference Guide
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Two-pole resonant filter
This transform implements the formula:
y(n) = x(n) - r*x(n-2) + 2*r*cos(2*pi*frequency/srate)*y(n-1) - r*r*y(n-2)
r = 1 - frequency/Q.
The output_coefs option can be used to output biquad coefficients, which can be used as input to the FrequencyResponse transform for display of filter response.
Copyright (c) 2001-2004 Amar Chaudhary. All rights reserved. Copyright (c) 1998-2001 Regents of the University of California. All rights reserved. ``The contents of this file are subject to the Open Sound World Public License Version 1.0 (the "License"); you may not use this file except in compliance with the License. A copy of the License should be included in a file named "License" or "License.txt" in the distribution from which you obtained this file. Software distributed under the License is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License for the specific language governing rights and limitations under the License. The Original Code is Open Sound World (OSW) software. The Initial Developer of the Original Code is Amar Chaudhary. Portions created by Amar Chaudhary are Copyright (C) 1998-2001 Regents of the University of California and Amar Chaudhary. All Rights Reserved. Contributor(s): From the UC Regents: Permission to use, copy, modify, and distribute this software and its documentation, without fee and without a signed licensing agreement, is hereby granted, provided that the above copyright notice, this paragraph and the following two paragraphs appear in all copies, modifications, and distributions. Contact The Office of Technology Licensing, UC Berkeley, 2150 Shattuck Avenue, Suite 510, Berkeley, CA 94720-1620, (510) 643-7201, for commercial licensing opportunities. Written by Amar Chaudhary, The Center for New Music and Audio Technologies, University of California, Berkeley. IN NO EVENT SHALL REGENTS BE LIABLE TO ANY PARTY FOR DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF REGENTS HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. REGENTS SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE AND ACCOMPANYING DOCUMENTATION, IF ANY, PROVIDED HEREUNDER IS PROVIDED "AS IS". REGENTS HAS NO OBLIGATION TO PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.