A signal e-at sin (ωt) is the input to a real linear time-invariant system. Given K and ∅ are constants, the output of the system will be of the form Ke-bt sin (vt + ∅). The correct statement among the following is __________

• A. b need not be equal to a but v must be equal to ω
• B. v need not be equal to ω but b must be equal to a
• C. b must be equal to a and v must be equal to ω
• D. b need not be equal to a and v need not be equal to ω