Article · IEEE Transactions on Circuits & Systems II Express Briefs · August 29, 2023

Design of Frequency Sampling Rational Rate Polyphase FIR Converter

K. Anjali Rao, Abhishek Kumar, Sujit Kumar Patel, Dmitrii Kaplun, Neetesh Purohit

Abstract

Frequency sampling structures are being effectively used in different signal processing applications, especially for higher filter lengths with a few non-zero samples in the passband. Although a few time domain-based polyphase Rational Sampling Rate Converter (RSRC) design approaches are available, a Frequency Sampling-based polyphase RSRC design approach has not yet been developed, and hence, it is analyzed in this presented work. In the proposed work, initially, we have derived a mathematical expression of the transfer function with real-valued parameters for the polyphase component of the FIR filter in the frequency domain. Stability analysis of the proposed filter with a radius$r < 1$gives better results. The work also discusses the usage of derived expressions to indicate the effect of different values of ‘$r$’. Thereafter, it is established that the proposed structure has a lower requirement of Multiplications Per Output Sample (MPOS). For example, in the case of$M=$3,$L=$2 and$N=$420 configuration by allowing 38 more Additions Per Output Sample (APOS), 24 MPOS are reduced, whereas, for$M=$10,$L=$9 and$N=$900 configuration just 9 more APOS enables the proposed structure eliminating 20 MPOS. Finally, the synthesis result validates the efficacy of the proposed structure.

Digital Filter Design and ImplementationAnalog and Mixed-Signal Circuit DesignAdvanced Adaptive Filtering TechniquesFIR filter designtransfer function derivationfilter stability

Design of Frequency Sampling Rational Rate Polyphase FIR Converter

Abstract

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