Fractional-Delay and Supersymmetric <formula formulatype="inline"><tex Notation="TeX">$M$</tex></formula> th-Band Linear-Phase FIR Filters Utilizing Partially Symmetric and Antisymmetric Impulse Responses

Abstract

This brief considers fractional-delay finite-length impulse response (FIR) filters and a class of supersymmetric M th-band linear-phase FIR filters utilizing partially symmetric and partially antisymmetric impulse responses. Design examples reveal significant multiplication savings, depending on the specification, as compared to traditional filters. Index Terms-Finite-length impulse response (FIR) filters, fractional-delay (FD) filters, linear-phase filters, low complexity, M th-band filters, partially symmetric/antisymmetric impulse responses.

Two-Stage-Based Polyphase Structures for Arbitrary-Integer Sampling Rate Conversion

“…As to F m (z), only F 0 (z) and F M (z) are symmetric subfilters when F (z) is a symmetric filter. However, it is known that each unsymmetric polyphase component has a corresponding polyphase component with a reversed impulse response [14]- [16]. This means that one can realize these two components as a sum and difference of a symmetric and antisymmetric subfilter which implies that the multiplication complexity is halved 5 .…”

A Novel Vlsi Architecture of High Speed 1d Discrete Wavelet Transform

“…The transposed form has the significant advantage that its critical path is greatly reduced to T M +T A , since its adders have only two operands and are followed by a register. In designing frequencyselective digital filters, it is usually desirable to have approximately constant frequency-response magnitude and minimum phase distortion [6]. A linear phase with integer slope is replaced by a simple delay in the time domain and it reduces the phase distortion to a minimum in the frequency domain.…”

“…Figure 4 shows the linear phase FIR filter. A linearphase FIR filter of order N is characterized by symmetric impulse response [6] h…”

“…FIR filters are unit applicable for improving the performance of the DWT hardware design [2]. A range of approaches for high speed implementation of FIR filters are conferred [3][4][5][6][7][8][9][10]. Novel area-efficient architectures of FIR filters are proposed by Benkrid and Benkrid [11].…”

Identificação de funções de transferência de ordem fracionária utilizando como entrada um degrau

“…Os métodos propostos visam complementar a literatura existente sobre o tema. As aplicações incluem filtragem (CARLSON;HALIJAK, 1964), (SAMADI;AHMAD;SWAMY, 2004), (BAR-BOSA;MACHADO;SILVA, 2006), (OUSTALOUP et al, 2000), (TSENG, 2001), (DAM, 2014), (JOHANSSON, 2012), (MAIONE, 2013), (CHEN; CHEN; XUE, 2011), análises de circuitos dielétricos, (BOUAMRANE;ALMOND, 2003), (MCCULLEN et al, 2009), , e controle (PODLUBNY et al, 2002), (VINAGRE et al, 2001), (CHEN et al, 2012) e (HUA; LIU; GUAN, 2014 Fazendo um breve relato do que foi visto, em (DEEPYAMAN; MITHUN; AMIT, 2009), os autores elaboraram um método de identificação que aplica o CF para encontrar equações que relacionam os parâmetros que serão estimados para em seguida solucionar equações simultâneas que geram os parâmetros estimados do processo. As referidas equações simultâ-neas são determinadas e atualizadas usando a técnica de otimização por enxame de partículas (Particle Optimization Swarm (PSO)).…”