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tut 1 complete sol

# tut 1 complete sol - 1-Briefly explain the term signal and...

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1-Briefly explain the term “signal” and provide 3 examples including analogue and digital signals. Solution : Signals are functions of independent variables. They are used to convey information from one point to another. Analogue signals Sound Signal, Pressure, Light Digital Signal Digital image pixels, Computer processing signals, mobile communication signals 2- Briefly explain the term “system” and provide explanations for the following examples; dynamics of an aircraft or space vehicle, an algorithm for analysing financial and economic factors to predict stock market activity, an edge detection algorithm for medical images, and a typical second order RLC circuit. Solution : System can be considered as a box which process signals to produce a modified or transformed version of the original signal. Hence the system may do some manipulations to the input signal and create an output signal. Eg: Dynamics of aircraft At a specific point in time the position of the aircraft is defined by its altitude and velocity. The state of the aircraft changes when the time change. Stock market activity At any time instance the value of stocks fluctuate based on different financial and economic factors. If the factors favour the company the stocks value of the company increases and vice versa. Edge detection The edge detection of medical images is carried out by comparing the intensity of adjacent pixels. At any given point in time there can be an edge or multiple edges based on the intensity gradient between adjacent neighbouring pixels. RLC Circuit The voltage across an RLC circuit is given by v(t) = Ri(t)+L(di/dt)+(1/C) ∫i(t)dt

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This combination creates an oscillator circuit whose frequency can be varied by changing the value of L and C. For a particular time the frequency of the RLC circuit is determined by its inductance and capacitance. 3- “A dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space” Write a paragraph containing the above mentioned statement in plain words. It is most desirable to include an example in your paragraph. Solution : A dynamical system consists of an ambient space and a point in this ambient space. The ambient space can be defined as a simple space in which the point is contained. The position of the point in this space can be defined by a set of coordinates.
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tut 1 complete sol - 1-Briefly explain the term signal and...

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