Signals and systems laboratory with MATLAB by Alex Palamides

By Alex Palamides

Advent to MATLAB®Working EnvironmentGetting StartedMemory ManagementVectorsMatricesPlotting with MATLABComplex NumbersM-FilesInput-Output CommandsFile ManagementLogical-Relational OperatorsControl FlowSymbolic VariablesPolynomials(Pseudo)Random NumbersSignalsCategorization by means of the Variable TypeBasic Continuous-Time SignalsDiscrete-Time SignalsProperties of SignalsTransformations of the Time Variable for Read more...

summary: advent to MATLAB®Working EnvironmentGetting StartedMemory ManagementVectorsMatricesPlotting with MATLABComplex NumbersM-FilesInput-Output CommandsFile ManagementLogical-Relational OperatorsControl FlowSymbolic VariablesPolynomials(Pseudo)Random NumbersSignalsCategorization via the Variable TypeBasic Continuous-Time SignalsDiscrete-Time SignalsProperties of SignalsTransformations of the Time Variable for Continuous-Time SignalsTransformations of the Time Variable for Discrete-Time SignalsSystemsSystems ClassificationProperties of SystemsTime area method AnalysisImpulse ResponseContinuous

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3 Graph of a complex number z ¼ a þ bi in the complex plane. The symbol Re denotes the real axis, while symbol Im denotes the imaginary axis. The magnitude is indicated by r while the angle is denoted by w. 0000i Complex number 4 þ 3i. real(z) ans ¼ 4 Real part of z. imag(z) ans ¼ 3 Imaginary part of z. abs(z) ans ¼ 5 Magnitude of z. 6435 The angle of z in radians. 6435 Alternative computation of the angle. 6435 Indeed, the angle of z is given by f ¼ tanÀ1 (b=a). 8699 Conversion from radians to degrees.

It must not be confused with the command clear as it does not delete anything from the memory. 6 Vectors MATLAB (named after MATrix LABoratory) is a programming tool specialized for working with matrices (or arrays). Even the scalars are considered as matrices of size 1 Â 1. In this section, we introduce a special case of matrices, the vectors. 1 Row Vectors To define a row vector, the elements of the vector are given into square brackets [ . . ]. Spaces or commas are inserted between the elements.

A third way is to define a row vector and append the apostrophe (or transpose operator)‘‘0 ’’. , converts the rows into columns and the columns into rows. Commands a ¼ [1;2;3;4] b ¼ [5 6 7 8] c ¼ [9 10 11 12] d ¼ c' e ¼ d' Results Comments a ¼1 2 3 4 First way of creating a column vector. The question mark is used to change row. b ¼5 6 7 8 Second way of creating a column vector. By pressing Enter when the square brackets are open also changes row. c¼9 d ¼9 10 11 12 10 e¼9 10 11 12 Third way of creating a column vector.

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