The phase of a sinusoid can be related to time shift:x(t) = A cos(27rfet +4,) = A cos(27ife(t — In...

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The phase of a sinusoid can be related to time shift:x(t) = A cos(27rfet +4,) = A cos(27ife(t — In the following parts, assume that the frequency of the sinusoidal wave is f = 60 Hz. (a) "When ti = —1/300 sec, the value of the phase is 4, = yr/5." Explain whether this is TRUE or FALSE. (b) "When ti = 1/300 sec, the value of the phase is 4, = —27r/5." Explain whether this is TRUE or FALSE. (c) "When II = 1/50 sec, the value of the phase is (j) = —27r/5." Explain whether this is TRUE or FALSE. Define x(t) asx(i) = 7 cos(100s - 3r/4) + 5 cos(1007r(t XXXXXXXXXXa) Find a complex-valued signal .7(t) = Xei•r" such that x(t) = 91°(z(t)). Simplify :0) as much as possible, so that you can identify its complex amplitude. Give the numerical values of X and (00.(b) Make a plot of A(( 1 + jihei"") over the range —0.1 Solve the following equation for 9:91e{(1 Del° ) = —1 Give the answers in radians. Make sure that you find all possible answers.
	
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Robert · Accepted Answer

Name:                                                                                               Date: 
EGRB603 Biomedical Signal Processing                                                                           HW1-1 
1. Phase of a Sinusoid: 
 
 

ANSWER 1:- 
(a) (a )       0.6283 = pi/5 
While  2*pi*fo *t1=  1.

The phase of a sinusoid can be related to time shift: x(t) = A cos(27rfet +4,) = A cos(27ife(t — In the following parts, assume that the frequency of the sinusoidal wave is f = 60 Hz. (a) "When ti =...

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