Abstract
We consider the problem of forming an algorithm for the operation of a digital filter that provides processing, according to a certain law, of discrete samples x[k] of some continuous signal x(t) at the moments of quantization tк=k ∙T0, where T0 -[second]- is the discreteness period in time, and k=0,1,2,.. is the integer variable defining dimensionless discrete time. This work poses and solves the problem of forming the digital filter parameters restructuring, which ensures that the filtering properties remain unchanged when the frequency of information is changed, in particular, the constancy of the frequency and pseudo-frequency characteristics of the filter. An algorithm for restructuring the numerical parameters of the filter based on information about the time intervals of information arrival has been developed. At the stage of filter development, a special conversion matrix is formed for the specified parameters, and at the stage of filter operation in real time, an operational recalculation of the digital filter parameters is performed. For the test example, the calculation results are given, showing good tuning accuracy and stable filter characteristics with a significant change in the quantization frequency.
Highlights
In digital control of technology, radio communication and automation, digital filters (DF) are widely used, which provide processing of discrete samples of a continuous signal x(t) at fixed times t=k*T0, where Т0 is the certain step of discreteness in time, k=0,1,2.. is the integer variable that defines the dimensionless discrete time
Such a restructuring makes it possible to ensure the constancy of the frequency characteristics of the digital filter with a significant change in the time periods TN=T0*N of information receipt and is implemented by simple computational operations
Changing the frequency fN of DF information arrival relative to the calculated frequency f0 with its fixed parameters can significantly worsen the required signal processing properties, and when using the results of DF in a closed loop, significantly degrade the system quality indicators
Summary
In digital control of technology, radio communication and automation, digital filters (DF) are widely used, which provide processing of discrete samples of a continuous signal x(t) at fixed times t=k*T0, where Т0 (second) is the certain step of discreteness in time, k=0,1,2.. is the integer variable that defines the dimensionless discrete time. Is the integer variable that defines the dimensionless discrete time The implementation of such devices is usually carried out on circuits containing registers and adders with certain coefficients; implementation in the form of a digital microprocessor device is possible (Serrezuela et al, 2017; Chen et al, 2020). The time intervals of signal arrival in many technical problems can change significantly during operation, for example, as it is described in (Psiaki et al, 2014; Daneshmand et al, 2015). This may be due to a change in the nature of transmission over the radio path (Velikanova & Voroshilin, 2012; Xu et al, 2016) and due to the conditions for receiving and transmitting information from continuous objects. In works (Sokolov et al, 2018; Kalmykov et al, 2020) the changes associated with the satellite measurement system are considered
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