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Re: Frequency modulator sensitivity and Quadrature demod gain


From: Jeff Long
Subject: Re: Frequency modulator sensitivity and Quadrature demod gain
Date: Fri, 19 Jun 2020 05:28:45 -0400



On Fri, Jun 19, 2020 at 4:57 AM Fernando <fernando@samara.com.es> wrote:
In the GRC Frequency mod block  the doc says


analog_frequency_modulator_fc
make(float sensitivity) -> frequency_modulator_fc_sptr
         Frequency modulator block.
         float input; complex baseband output
         Takes a real, baseband signal (x_m[n]) and output a frequency
modulated signal (y[n]) according to:

         Where x[n] is the input sample at time n and  is the frequency
deviation. Common values for  are 5 kHz for narrowband FM channels such
as for voice systems and 75 KHz for wideband FM, like audio broadcast FM
stations.
         In this block, the input argument is , not the frequency
deviation. The sensitivity specifies how much the phase changes based on
the new input sample. Given a maximum deviation, , and sample rate , the
sensitivity is defined as:
         Constructor Specific Documentation:
         Build a frequency modulator block.
         Args:
             sensitivity : radians/sample = amplitude * sensitivity


There is somejhing missing at:   " Where x[n] is the input sample at
time n and  ____________  is the frequency deviation"


Here https://wiki.gnuradio.org/index.php/Frequency_Mod the same is
missing too.

I guess it refers to  sensitivity = K =
(2*pi*freq_deviation)/samp_rate    correct?


Second question related to this one.

If I the use Quadrature_demod for demodulation of the signal, the gain
parameter will be the inverso of this one isnt it?


gain=samp_rate/((2*pi*freq_deviation)   but when I insert the quadrature
demod block it is autofilled with

samp_rate/(2*math.pi*fsk_deviation_hz/8.0)   where does the 8.0 come from?

 
This would give full scale deviation with 4x oversampling, I think. So, this might be set by default for a digital mode.



best regards











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