Digital Signal Processors

1- Compute j^j and express the result in cartesian form.


2- Compute (1-j*sqrt(3))^12 and express the result in Cartesian form.


3- Compute 7e^(j*4pi/7)+5e^(-j*5*pi/7) and express the results in both Cartesian form and polar form.


4- Draw phasor diagrams and express your results in both Cartesian and polar form for the following problems:


(A): e^(jpi/4)+e^(j3pi/4)

(B): e^(jpi/3) * e^(jpi/2)+e^jpi

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