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A message signal $m(t) = A_{m} \sin(2πf_{m}t)$ is used to modulate the phase of a carrier $A_{c} \cos(2πf_{c}t)$ to get the modulated signal $y(t) = A_{c} \cos(2πf_{c}t + m(t)).$ The bandwidth of $y(t)$ 

  1.  depends on $A_{m}$ but not on $f_{m}$ 
  2.  depends on $f_{m}$ but not on $A_{m}$ 
  3.  depends on both $A_{m}$ and $f_{m}$ 
  4.  does not depend on $A_{m}$ or $f_{m}$
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