Arrangement for converting discrete signals in to a discrete...

H - Electricity – 04 – J

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363/2

H04J 4/00 (2006.01)

Patent

CA 1114534

ABSTRACT: TDM-FDM arrangement comprising a transfor- mation device for mutually mixing N digital-signals {xk(n)} k = 1,2,3,...N and for generating N con- version signals {sm(n)} wherein: Image m = 1,2,3,...N wherein amk represents an element of a constant value of an NxN-matrix A(N) = [amk] . Each of the conversion signals is applied to one of N sig- nal channels which each comprises a sampling rate increase element (SRI-element) and a digital filter having the transfer function Hm(.omega.) wherein: Image wherein: .omega.1 arbitrary 0 ? .omega.o < ? These signal channels are connected to an adder for adding the signals occurring in the various signal channels in order to obtain the FDM-signal. If the filter bank which is formed by the digital fil- ters in the various signal channels are described by the filtering matrix - 110 - H(.omega.o) = [Hm [.omega.o + .omega.1 + (i-1) ?]] and by the filtering matrix Image Image ]l then between the matrix A(N) and these filtering matrices the following relation exists Image if .omega.1 = O, and the relation Image A(N)T H(.omega.o) = 2IN if .omega.1 ? O wherein: A(N)M represents the complex conjugate of A(N); A(N)T represents the transposed matrix of A(N); M represents the increase factor of the SRI-elements; IN represents the NxN identity matrix. - 111 -

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