US 4,729,113 A · Method and arrangement for recovering an analogue signal

Abstract

A method and an arrangement for recovering an analog signal E(t) and for displaying and/or processing it, for example, on an oscilloscope as a useful recovered signal X(t), in the envelope display mode and/or in the signal display mode. In the method, the average values of the k results are determined which are obtained after multiplication of the analog signal E(t) by the function f.sub.k (t) chosen as a function of the passband of the analog signal E(t). These average values can also be obtained by means of a filter having a pulse response h.sub.k (t), where h.sub.k (t)=f.sub.k (.tau.-t). The filter has at its k outputs transmittances h.sub.k (t). These average values permit of calculating k coefficients S.sub.k, which serve to determine the calculated recovered signal S(t). The latter is then compared with the analog signal E(t), while on the basis of an error criterion, which may be the average quadratic error, the signal mode or envelope mode of the useful recovered signal X(t) is chosen, which choice may be automatic. The maximum (SUP) and minimum (INF) values of the analog signal E(t) are also determined. Special choices of functions f.sub.k (t) of the type f.sub.n (t)=n.multidot.(1-t).sup.n-1 permit of obtaining a simple experimental realization of the arrangement according to the invention used in an oscilloscope.

Claims27

Dependent claims

An arrangement for obtaining a useful recovered signal X(t) for display and/or processing comprising:

an analog processor, means for applying an analog signal E(t) to the analog processor, means coupling outputs of the analog processor to a memorization and digitization element, means coupling outputs of the memorization and digitization element to a calculation and test device, which supplies:
(a) to a display device or a processing element followed by a display the useful recovered signal X(t) and signals of error function(s) for each analysis period .tau. as well as synchronization signals and time base signals;
and
(b) to the analog processor signals for resetting to zero and to a multiplexer synchronization signals, the multiplexer supplying the operating time base signals to the analog processor, to the memorization and digitization element and to the calculation and test device.

1 more element

A device for displaying a useful recovered signal X(t) recovered from an analog signal E(t), with means for forming X(t) per analysis period .tau. either from samples of a calculated recovered signal S(t) represented in a signal display mode or from minimum and maximum values of the analog signal E(t) represented in an envelope display mode, wherein said device comprises, an analog processor having means provided with k user-chosen functions f.sub.k (t), preferably in the form of polynomials, whereby the analog processor comprises means for forming k products E(t)f.sub.k (t) and means for forming averages <E(t)f.sub.k (t)L22 thereof in the period .tau. and means for forming averages <E.sup.2 (t)>

of the square of E(t), and peak detector means for forming max(SUP) and min(INF) values of E(t), means for sampling said average and said max(SUP) and min(INF) values, an analog memory for storing for every analysis period .tau., fitting n times in a period T.sub.1, said sampled values, an analog-to-digital-converter for digitizing in a subsequent period T.sub.2 the values stored in the analog memory in period T.sub.1 and a digital memory to store the digitized values, a calculation and test device provided with programming means for calculating the recovered signal S(t) from said digitized values, said programming means comprising a first algorithm for inverting a matrix M stored as an array of data in storage means, which matrix M represents calculated values from said user functions, the structure of M being known from a least-squares minimalization procedure, a second algorithm for calculating k coefficients S.sub.k by multiplying the inverse matrix M.sup.-1 with said k averages <E(t)f.sub.k (t)>, a third algorithm for calculating the recovered signal S(t) by multiplying the k coefficients S.sub.k with said k functions f.sub.k (t), said calculation and test device further comprising decision programming means provided with decision criteria for forming the useful recovered signal(s) X(t) either from S(t) or from said digitized max(SUP) and min(INF) values, and further comprising digital-to-analog converter(s) for reconstructing X(t) to analog signal(s) and a display for displaying the signal(s).

Dependencies are inferred from the claim text.

Method and arrangement for recovering an analogue signal

Life of this patent

Method and arrangement for recovering an analogue signal

Life of this patent

Abstract

Claims27