High-Precision Modeling for Aerospace TT&amp;C Channels Using Piecewise Osculating Interpolation

Lu, Shaozhong; Wang, Yongqing; Shen, Yuyao

doi:10.1109/taes.2018.2869452

Cited by 10 publications

(6 citation statements)

References 37 publications

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“…Although in [25], the authors have proposed a method to convert the single-rate to multirate systems, at the cost of increased complexity. Recently, the authors in [26] have proposed a novel interpolation implementation approach to improve the performance of sample rate converters for aerospace applications.…”

Section: B Efficient Polyphase Structures For Linear-phase Fir Filtermentioning

confidence: 99%

“…Proof: See Appendix D for the detailed analysis. It can be observed from (26) and (27) that the proposed structures of transposed Type-1 polyphase FIR filter for any arbitrary positive integer values of N and J can be designed.…”

Section: B Transposed Type-1 Polyphase Fir Filter With Coefficient Smentioning

confidence: 99%

“…Numerical Example: We consider a case when N J is even, p = J , J = 4, and N = 16 with all the coefficients are positive. By applying these into (26), the transfer function can be expressed as…”

Section: B Transposed Type-1 Polyphase Fir Filter With Coefficient Smentioning

confidence: 99%

“…However, the total adder units are same in both the structures. Furthermore, it is worth noted that the proposed structures (i.e., for even N J in (26) and odd N J in (27)) are applicable for designing of multirate systems. For the demonstration, we consider the same example which is used to design the proposed transposed Type-1 polyphase structure (depicted in Fig.…”

Section: B Transposed Type-1 Polyphase Fir Filter With Coefficient Smentioning

confidence: 99%

“…By invoking (61), (62), and (63) into (13), we can get the mathematical expression of transfer function for the proposed transposed Type-1 FIR filter, as expressed in (26). When N J is odd, by following the same steps as used above for even N J , and by expressing the lower index coefficients of the complementary k subfilter E (h Ju+k z −u )z −( N /J −1−2u) , (h Ju+k z −u )z −( N /J −2−2u) .…”

Section: Appendix D Proof Of Theoremmentioning

confidence: 99%

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Exploiting Coefficient Symmetry in Conventional Polyphase FIR Filters

2019

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The conventional polyphase architecture for linear-phase finite impulse response (FIR) filter loses its coefficient symmetry property due to the inefficient arrangement of the filter coefficients among its subfilters. Although, existing polyphase structures can avail the benefits of coefficient symmetry property, at the cost of versatility and complex subfilters arrangement of the conventional polyphase structure. To address these issues, in this paper, we first present the mathematical expressions for inherent characteristics of the conventional polyphase structure. Thereafter, we use these expressions to develop a generalized mathematical framework which exploits coefficient symmetry by retaining the direct use of conventional FIR filter coefficients. Further, the transfer function expressions for the proposed Type-1/ transposed Type-1 polyphase structures using coefficient symmetry are derived. The proposed structures can reduce the requirement of multiplier units in polyphase FIR filters by half. We also demonstrate the decimator design using the proposed Type-1 polyphase structure and the interpolator design using the proposed transposed Type-1 polyphase structure. Moreover, the phase and magnitude characteristics of the proposed Type-1/transposed Type-1 polyphase structures are presented. It is revealed via numerical examples that all subfilters of the proposed symmetric polyphase structure possess linear-phase characteristics. INDEX TERMS Coefficient symmetry, frequency response, polyphase FIR structures, pre/post processing, sampling rate conversion.

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Section: B Efficient Polyphase Structures For Linear-phase Fir Filtermentioning

confidence: 99%

Section: B Transposed Type-1 Polyphase Fir Filter With Coefficient Smentioning

confidence: 99%

Section: B Transposed Type-1 Polyphase Fir Filter With Coefficient Smentioning

confidence: 99%

Section: B Transposed Type-1 Polyphase Fir Filter With Coefficient Smentioning

confidence: 99%

Section: Appendix D Proof Of Theoremmentioning

confidence: 99%

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