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SignalProcessing[GenerateJaehne] - generate a Jaehne array

 Calling Sequence GenerateJaehne(n, mag)

Parameters

 n - posint, number of samples mag - realcons, magnitude of the signal to be generated

Description

 • The GenerateJaehne(n, mag) command generates an n-dimensional Jaehne array. The result is returned in an Array with datatype float[8].
 • The Jaehne array of length $n$ is defined by computing the $k$-th sample as $m\mathrm{sin}\left(\frac{\mathrm{\pi }{k}^{2}}{2n}\right)$, where $m$ is the magnitude of the signal.
 • If the container=C option is provided, then the results are put into C and C is returned. With this option, no additional memory is allocated to store the result. The container must be an Array of size n having datatype float[8].

 • The SignalProcessing[GenerateJaehne] command is thread-safe as of Maple 17.

Examples

 > $\mathrm{with}\left(\mathrm{SignalProcessing}\right):$
 > $A:=\mathrm{GenerateJaehne}\left(10,1\right)$
 ${A}{:=}\left[\begin{array}{cccccccccc}{0.}& {0.156434465040231}& {0.587785252292473}& {0.987688340595138}& {0.587785252292473}& {-}{0.707106781186547}& {-}{0.587785252292473}& {0.987688340595138}& {-}{0.587785252292473}& {0.156434465040231}\end{array}\right]$ (1)
 > $c:=\mathrm{Array}\left(1..10,'\mathrm{datatype}'={'\mathrm{float}'}_{8},'\mathrm{order}'='\mathrm{C_order}'\right):$
 > $A:=\mathrm{GenerateJaehne}\left(10,1,'\mathrm{container}'=c\right)$
 ${A}{:=}\left[\begin{array}{cccccccccc}{0.}& {0.156434465040231}& {0.587785252292473}& {0.987688340595138}& {0.587785252292473}& {-}{0.707106781186547}& {-}{0.587785252292473}& {0.987688340595138}& {-}{0.587785252292473}& {0.156434465040231}\end{array}\right]$ (2)
 > $c$
 $\left[\begin{array}{cccccccccc}{0.}& {0.156434465040231}& {0.587785252292473}& {0.987688340595138}& {0.587785252292473}& {-}{0.707106781186547}& {-}{0.587785252292473}& {0.987688340595138}& {-}{0.587785252292473}& {0.156434465040231}\end{array}\right]$ (3)
 > $\mathrm{plots}:-\mathrm{listplot}\left(\mathrm{GenerateJaehne}\left(500,1\right)\right)$