1.5 Classify each of the following signals as CT or DT signals and specify eithe
ID: 2267244 • Letter: 1
Question
1.5 Classify each of the following signals as CT or DT signals and specify either an appropriate unit of time for each signal or the independent variable (if it is not time): a. The instantaneous velocity of the left heel during a long jump. b. The concentration of calcium inside a muscle cell. c. The amount of blood ejected from the left ventricle with each heartbeat. d. The number of red blood cells passing through a pulmonary capillary each second. e. The average velocity of red blood cells in a pulmonary capillary.Explanation / Answer
a. Instantaneous velocity of the left leg being defined at all times make it a continuous time signal, the independent variable being time.
b. At macro level concentration varies continuously along any length in the muscle cell hence it is also a CT signal. The independent variable however is a length and direction ( precisely a vector) in a 3d vector space.
c. Since heart beats at regular intervals it is only during these intervals the amount of blood ejected I'd defined. Hence it is a DT signal with time being the independent variable.
d. Here the number of blood cells may be discrete but it is defined for all times hence it is a CAT signal with time being the independent variable.
e. The average velocity of RBCs in a capillary is defined for all points inside the capillary hence it is a CAT signal however again the independent variable is the location of point in the capillary ( and NOT time).
f. Since concentration is only defined at intervals of one hour it is a DT signal with time being the independent variable.
g. The pressure inside eyeball isuniform through out however if monitored over time it will become a CT signal with respect to time. Interestingly if the same parameter was to be observed across different people it would become a DT signal with respect to people.
h.Since the animals are discrete quantities they represent a discrete independent variable making the given signal a DT signal with respect to the animal from which it was taken.
I. Since the work done on macro scale is pretty much a continuous quantity the given signal will also be a CT signal with time being the independent variable.
Hope it helps. For further clarification drop in a comment and I'll definitely get back to you. All the best.
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