# Classify the following signals according to whether they are (1) one- or multi-dimen-sional; (2) single or multichannel, (3) continuous time or discrete time, and (4) analog or digital (in amplitude)

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Classify the following signals according to whether they are (1) one- or multi-dimen-sional; (2) single or multichannel, (3) continuous time or discrete time, and (4) analog or digital (in amplitude). Give a brief explanation.

(a) Closing prices of utility stocks on the New York Stock Exchange.

(b) A color movie.

(c) Position of the steering wheel of a car in motion relative to car's reference frame.

(d) Position of the steering wheel of a car in motion relative to ground reference frame.

(e) Weight and height measurements of a child taken every month.

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(a)

(1) As the stocks of ‘n’ prices are independent, the closing prices of the New York Stock Exchange are the function of ‘n’ prices variable. Therefore, the signal is multidimensional.

(2) As the stocks of ‘n’ prices generate multiple prices by taking multiple sources, the signal is multi-channel.

(3) As the ‘n’ prices of the stock generated at ‘n’ different instants of time, the signal is discrete.

(4) As the change in the stock of ‘n’ Prices varies as amplitude with respect to time at discrete instants of time, the signal is digital.

(b)

(1) In a color movie, the primary colors are red, blue, and green with corresponding to the brightness and the contrast. Thus, the combination of all these variables gives a single result. Therefore, the signal is multidimensional.

(2) As all the primary colors are independent variables and these combinations will result in a single mixture of one output, signal is single channel.

(3) As all the primary colours continuously vary with respective to the contrast and the brightness, the signal is continuous.

(4) As the transmission of the primary colors is accomplished by adding new colours that vary with frequency and amplitude, the signal is analog.

(c)

(1) The position of the steering wheel of the car in a motion relative to the car’s reference frame follows the clockwise and the anti-clockwise rotations, signal is multi-dimensional.

(2) The position of the steering wheel of the car in a motion relative to the car’s reference frame is single channel because the positions of the car steering wheel movement correspond to the car’s reference frame.

(3) The position of the steering wheel of the car in a motion relative to the car’s reference frame is continuous because the positions of the car steering wheel movement correspond to the car’s reference frame.

(4) The position of the steering wheel of the car in a motion relative to the car’s reference frame is analog because the car steering wheel is not in directive mode, and it gets channelized by the applied signals.

(d)

(1) The position of the steering wheel of the car in a motion relative to the ground reference frame follows the clockwise and the anti-clockwise rotations, signal is multi-dimensional.

(2) The position of the steering wheel of the car in a motion relative to the ground reference frame is single channel because the positions of the car steering wheel movement correspond to the ground’s reference frame.

(3) The position of the steering wheel of the car in a motion relative to the ground’s reference frame is continuous because the positions of the car steering wheel movement correspond to the ground’s reference frame.

(4) The position of the steering wheel of the car in a motion relative to the ground’s reference frame is analog because the amplitude of the motion of the car’s steering wheel vary with the reference to the ground.

(e)

(1) The weight and height measurements of a child taken by every month are one dimensional because the growth of weight and height change at one level.

(2) The weight and height measurements of a child taken by every month are multi channel because the output of the results is in corresponding with the multiple parameters that are weight and the height.

(3) The weight and height measurements of a child taken by every month are discrete time because the outputs of weight and height are taken every month which is a discrete point of time.

(4) The weight and height measurements of a child taken by every month will be in digital because the outputs of weight and height will be in numbers.

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color movie is multi channel
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The colours are independent variables and these combinations will result in a single mixture of one output. This is why the resulting signal is a single channel.

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