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+#
+# Copyright 2005,2007,2012 Free Software Foundation, Inc.
+#
+# This file is part of GNU Radio
+#
+# GNU Radio is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation; either version 3, or (at your option)
+# any later version.
+#
+# GNU Radio is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with GNU Radio; see the file COPYING. If not, write to
+# the Free Software Foundation, Inc., 51 Franklin Street,
+# Boston, MA 02110-1301, USA.
+#
+
+from gnuradio import gr, filter
+import math
+
+#
+# 1
+# H(s) = -------
+# 1 + s
+#
+# tau is the RC time constant.
+# critical frequency: w_p = 1/tau
+#
+# We prewarp and use the bilinear z-transform to get our IIR coefficients.
+# See "Digital Signal Processing: A Practical Approach" by Ifeachor and Jervis
+#
+
+class fm_deemph(gr.hier_block2):
+ """
+ FM Deemphasis IIR filter.
+ """
+
+
+ def __init__(self, fs, tau=75e-6):
+ """
+
+ Args:
+ fs: sampling frequency in Hz (float)
+ tau: Time constant in seconds (75us in US, 50us in EUR) (float)
+ """
+ gr.hier_block2.__init__(self, "fm_deemph",
+ gr.io_signature(1, 1, gr.sizeof_float), # Input signature
+ gr.io_signature(1, 1, gr.sizeof_float)) # Output signature
+
+ w_p = 1/tau
+ w_pp = math.tan(w_p / (fs * 2)) # prewarped analog freq
+
+ a1 = (w_pp - 1)/(w_pp + 1)
+ b0 = w_pp/(1 + w_pp)
+ b1 = b0
+
+ btaps = [b0, b1]
+ ataps = [1, a1]
+
+ if 0:
+ print "btaps =", btaps
+ print "ataps =", ataps
+ global plot1
+ plot1 = gru.gnuplot_freqz(gru.freqz(btaps, ataps), fs, True)
+
+ deemph = filter.iir_filter_ffd(btaps, ataps)
+ self.connect(self, deemph, self)
+
+#
+# 1 + s*t1
+# H(s) = ----------
+# 1 + s*t2
+#
+# I think this is the right transfer function.
+#
+#
+# This fine ASCII rendition is based on Figure 5-15
+# in "Digital and Analog Communication Systems", Leon W. Couch II
+#
+#
+# R1
+# +-----||------+
+# | |
+# o------+ +-----+--------o
+# | C1 | |
+# +----/\/\/\/--+ \
+# /
+# \ R2
+# /
+# \
+# |
+# o--------------------------+--------o
+#
+# f1 = 1/(2*pi*t1) = 1/(2*pi*R1*C)
+#
+# 1 R1 + R2
+# f2 = ------- = ------------
+# 2*pi*t2 2*pi*R1*R2*C
+#
+# t1 is 75us in US, 50us in EUR
+# f2 should be higher than our audio bandwidth.
+#
+#
+# The Bode plot looks like this:
+#
+#
+# /----------------
+# /
+# / <-- slope = 20dB/decade
+# /
+# -------------/
+# f1 f2
+#
+# We prewarp and use the bilinear z-transform to get our IIR coefficients.
+# See "Digital Signal Processing: A Practical Approach" by Ifeachor and Jervis
+#
+
+class fm_preemph(gr.hier_block2):
+ """
+ FM Preemphasis IIR filter.
+ """
+ def __init__(self, fs, tau=75e-6):
+ """
+
+ Args:
+ fs: sampling frequency in Hz (float)
+ tau: Time constant in seconds (75us in US, 50us in EUR) (float)
+ """
+
+ gr.hier_block2.__init__(self, "fm_deemph",
+ gr.io_signature(1, 1, gr.sizeof_float), # Input signature
+ gr.io_signature(1, 1, gr.sizeof_float)) # Output signature
+
+ # FIXME make this compute the right answer
+
+ btaps = [1]
+ ataps = [1]
+
+ if 0:
+ print "btaps =", btaps
+ print "ataps =", ataps
+ global plot2
+ plot2 = gru.gnuplot_freqz(gru.freqz(btaps, ataps), fs, True)
+
+ preemph = filter.iir_filter_ffd(btaps, ataps)
+ self.connect(self, preemph, self)