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        <definition>typedef std::shared_ptr&lt;pfb_arb_resampler_fff&gt; gr::filter::pfb_arb_resampler_fff::sptr</definition>
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        <definition>static sptr gr::filter::pfb_arb_resampler_fff::make</definition>
        <argsstring>(float rate, const std::vector&lt; float &gt; &amp;taps, unsigned int filter_size=32)</argsstring>
        <name>make</name>
        <qualifiedname>gr::filter::pfb_arb_resampler_fff::make</qualifiedname>
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          <type>float</type>
          <declname>rate</declname>
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          <type>const std::vector&lt; float &gt; &amp;</type>
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          <defval>32</defval>
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<para>Build the polyphase filterbank arbitrary resampler. <parameterlist kind="param"><parameteritem>
<parameternamelist>
<parametername>rate</parametername>
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<parameterdescription>
<para>(float) Specifies the resampling rate to use </para>
</parameterdescription>
</parameteritem>
<parameteritem>
<parameternamelist>
<parametername>taps</parametername>
</parameternamelist>
<parameterdescription>
<para>(vector/list of floats) The prototype filter to populate the filterbank. The taps should be generated at the filter_size sampling rate.</para>
</parameterdescription>
</parameteritem>
<parameteritem>
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<parametername>filter_size</parametername>
</parameternamelist>
<parameterdescription>
<para>(unsigned int) The number of filters in the filter bank. This is directly related to quantization noise introduced during the resampling. Defaults to 32 filters. </para>
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        <definition>virtual void gr::filter::pfb_arb_resampler_fff::set_taps</definition>
        <argsstring>(const std::vector&lt; float &gt; &amp;taps)=0</argsstring>
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<para>Resets the filterbank&apos;s filter taps with the new prototype filter <parameterlist kind="param"><parameteritem>
<parameternamelist>
<parametername>taps</parametername>
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<parameterdescription>
<para>(vector/list of floats) The prototype filter to populate the filterbank. </para>
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        <name>taps</name>
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<para>Return a vector&lt;vector&lt;&gt;&gt; of the filterbank taps </para>
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        <qualifiedname>gr::filter::pfb_arb_resampler_fff::print_taps</qualifiedname>
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<para>Print all of the filterbank taps to screen. </para>
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        <type>void</type>
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        <argsstring>(float rate)=0</argsstring>
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<para>Sets the resampling rate of the block. </para>
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        <definition>virtual void gr::filter::pfb_arb_resampler_fff::set_phase</definition>
        <argsstring>(float ph)=0</argsstring>
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        <param>
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<para>Sets the current phase offset in radians (0 to 2pi). </para>
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        <definition>virtual float gr::filter::pfb_arb_resampler_fff::phase</definition>
        <argsstring>() const =0</argsstring>
        <name>phase</name>
        <qualifiedname>gr::filter::pfb_arb_resampler_fff::phase</qualifiedname>
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<para>Gets the current phase of the resampler in radians (2 to 2pi). </para>
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        <type>unsigned int</type>
        <definition>virtual unsigned int gr::filter::pfb_arb_resampler_fff::taps_per_filter</definition>
        <argsstring>() const =0</argsstring>
        <name>taps_per_filter</name>
        <qualifiedname>gr::filter::pfb_arb_resampler_fff::taps_per_filter</qualifiedname>
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<para>Gets the number of taps per filter. </para>
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        <type>unsigned int</type>
        <definition>virtual unsigned int gr::filter::pfb_arb_resampler_fff::interpolation_rate</definition>
        <argsstring>() const =0</argsstring>
        <name>interpolation_rate</name>
        <qualifiedname>gr::filter::pfb_arb_resampler_fff::interpolation_rate</qualifiedname>
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<para>Gets the interpolation rate of the filter. </para>
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        <type>unsigned int</type>
        <definition>virtual unsigned int gr::filter::pfb_arb_resampler_fff::decimation_rate</definition>
        <argsstring>() const =0</argsstring>
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        <qualifiedname>gr::filter::pfb_arb_resampler_fff::decimation_rate</qualifiedname>
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<para>Gets the decimation rate of the filter. </para>
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        <type>float</type>
        <definition>virtual float gr::filter::pfb_arb_resampler_fff::fractional_rate</definition>
        <argsstring>() const =0</argsstring>
        <name>fractional_rate</name>
        <qualifiedname>gr::filter::pfb_arb_resampler_fff::fractional_rate</qualifiedname>
        <briefdescription>
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        <detaileddescription>
<para>Gets the fractional rate of the filter. </para>
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        <type>int</type>
        <definition>virtual int gr::filter::pfb_arb_resampler_fff::group_delay</definition>
        <argsstring>() const =0</argsstring>
        <name>group_delay</name>
        <qualifiedname>gr::filter::pfb_arb_resampler_fff::group_delay</qualifiedname>
        <briefdescription>
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<para>Get the group delay of the filter. </para>
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        <type>float</type>
        <definition>virtual float gr::filter::pfb_arb_resampler_fff::phase_offset</definition>
        <argsstring>(float freq, float fs)=0</argsstring>
        <name>phase_offset</name>
        <qualifiedname>gr::filter::pfb_arb_resampler_fff::phase_offset</qualifiedname>
        <param>
          <type>float</type>
          <declname>freq</declname>
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        <param>
          <type>float</type>
          <declname>fs</declname>
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        <briefdescription>
        </briefdescription>
        <detaileddescription>
<para>Calculates the phase offset expected by a sine wave of frequency <computeroutput>freq</computeroutput> and sampling rate <computeroutput>fs</computeroutput> (assuming input sine wave has 0 degree phase). </para>
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    <briefdescription>
<para>Polyphase filterbank arbitrary resampler with float input, float output and float taps. </para>
    </briefdescription>
    <detaileddescription>
<para>This block takes in a signal stream and performs arbitrary resampling. The resampling rate can be any real number <emphasis>r</emphasis>. The resampling is done by constructing <emphasis>N</emphasis> filters where <emphasis>N</emphasis> is the interpolation rate. We then calculate <emphasis>D</emphasis> where <emphasis>D = floor(N/r)</emphasis>.</para>
<para>Using <emphasis>N</emphasis> and <emphasis>D</emphasis>, we can perform rational resampling where <emphasis>N/D</emphasis> is a rational number close to the input rate <emphasis>r</emphasis> where we have <emphasis>N</emphasis> filters and we cycle through them as a polyphase filterbank with a stride of <emphasis>D</emphasis> so that <emphasis>i+1 = (i + D) % N</emphasis>.</para>
<para>To get the arbitrary rate, we want to interpolate between two points. For each value out, we take an output from the current filter, <emphasis>i</emphasis>, and the next filter <emphasis>i+1</emphasis> and then linearly interpolate between the two based on the real resampling rate we want.</para>
<para>The linear interpolation only provides us with an approximation to the real sampling rate specified. The error is a quantization error between the two filters we used as our interpolation points. To this end, the number of filters, <emphasis>N</emphasis>, used determines the quantization error; the larger <emphasis>N</emphasis>, the smaller the noise. You can design for a specified noise floor by setting the filter size (parameters <emphasis>filter_size</emphasis>). The size defaults to 32 filters, which is about as good as most implementations need.</para>
<para>The trick with designing this filter is in how to specify the taps of the prototype filter. Like the PFB interpolator, the taps are specified using the interpolated filter rate. In this case, that rate is the input sample rate multiplied by the number of filters in the filterbank, which is also the interpolation rate. All other values should be relative to this rate.</para>
<para>For example, for a 32-filter arbitrary resampler and using the GNU Radio&apos;s firdes utility to build the filter, we build a low-pass filter with a sampling rate of <emphasis>fs</emphasis>, a 3-dB bandwidth of <emphasis>BW</emphasis> and a transition bandwidth of <emphasis>TB</emphasis>. We can also specify the out-of-band attenuation to use, <emphasis>ATT</emphasis>, and the filter window function (a Blackman-harris window in this case). The first input is the gain of the filter, which we specify here as the interpolation rate (<emphasis>32</emphasis>).</para>
<para><bold><emphasis>self._taps = <ref refid="classgr_1_1filter_1_1firdes_1ac025e225bf4ed55262bb5252ae110796" kindref="member">filter.firdes.low_pass_2</ref>(32, 32*fs, BW, TB, attenuation_dB=ATT, window=<ref refid="classgr_1_1fft_1_1window_1a599d7e9625d6cc77203a8b877c4911e2a232b339a4e4796ceb3a38725f9d2015f" kindref="member">fft.window.WIN_BLACKMAN_hARRIS</ref>)</emphasis></bold></para>
<para>The theory behind this block can be found in Chapter 7.5 of the following book:</para>
<para><bold><emphasis>f. harris, &quot;Multirate Signal Processing for Communication
     Systems&quot;, Upper Saddle River, NJ: Prentice Hall, Inc. 2004.</emphasis></bold> </para>
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