MarkT thanks for your response. That behavior (wave form in the current) is due to the mechanical load I'm applying to the motor. Right now the BLDC Motor is coupled to a flywheel (variable load); and that is the reason why it doesn't look like a negative slope.
My sampling is very small (10hz); Let me ask this: What is the best method/equipment to measure current between the power supply and ESC without interfering with the current sensor? All I want to do is confirm that my sensor is reading accurately.
I learned that I can't apply a constant load to the current sensor to confirm it's accuracy because when dealing with ESC loads, that is never constant.