📄 second_order_hp.m
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function [b, a] = second_order_HP(fc, fs, d)
%SECOND_ORDER_HP - Second-Order IIR Butterworth High-Pass Filter Design Routine
%
% usage: [b, a] = second_order_HP(fc, fs, d)
%
% b = Three column vector, numerator coefficients
% a = Three column vector, denominator coefficients
% fc = Scalar, cutoff frequency (in Hz)
% fs = Scalar, sampling frequency (in Hz)
% d = Scalar, damping factor (default: square root of 2)
% NOTICE: MATLAB's filter.m function implements the standard
% difference equation with subtracting the weighted
% previous outputs:
%
% a(1)*y(n) = b(1)*x(n) + b(2)*x(n-1) + b(3)*x(n-2)
% - a(2)*y(n-1) - a(3)*y(n-2)
%
% Therefore this routine negates the calculated a(2) and
% a(3) coefficients in order to accomodate this. However,
% if the difference equation of your implementation adds
% the weighted previous outputs rather than subtracting
% them then you should use conv_coeff.m function to
% obtain the original coefficients.
% References:
% [1] John Lane, Jayant Datta, Brent Karley, Jay Norwood, "DSP Filters",
% PROMPT Publications(an imprint of Sams Technical Publishing),
% Indianapolis, IN, 2001, page 74.
% Book's website: www.dspaudiocookbook.com
% Copyright (c) 2005 Bo餫
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