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FIR filters

description2,826 papers
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lightbulbAbout this topic
Finite Impulse Response (FIR) filters are a type of digital filter characterized by a finite number of coefficients, which determine the filter's response to an input signal. They are implemented using a convolution operation and are known for their stability and linear phase response, making them suitable for various signal processing applications.
lightbulbAbout this topic
Finite Impulse Response (FIR) filters are a type of digital filter characterized by a finite number of coefficients, which determine the filter's response to an input signal. They are implemented using a convolution operation and are known for their stability and linear phase response, making them suitable for various signal processing applications.

Key research themes

1. How can multiplierless optimization minimize the hardware complexity of FIR filter implementations while meeting frequency specifications?

This theme investigates optimization methods for designing FIR filters that minimize hardware resources, especially by reducing the number of additions in multiplierless implementations. It addresses the challenge of translating frequency-domain specs into fixed-point multiplierless coefficient sets that are efficient for hardware synthesis, critical for low-power and high-performance DSP applications.

Key finding: The paper introduces two Integer Linear Programming (ILP) based methods to jointly optimize FIR filter design and its multiplierless hardware realization by minimizing the total number of adders under specified frequency... Read more
Key finding: This work applies the Vertical-Horizontal Binary Common Sub-expression Elimination (VHBCSE) algorithm to dynamically reconfigurable FIR filters, optimizing the multiplier block by extracting common sub-expressions both... Read more
Key finding: The study demonstrates a low-power FIR filter design replacing traditional multipliers with an 8-bit multiplier-accumulator (MAC) unit constructed using Wallace tree multipliers and efficient adders, reducing dynamic power... Read more
Key finding: The paper proposes a double carry-save arithmetic scheme optimized for 6-input LUT FPGAs enabling carry propagation-free addition within a single LUT delay. This redundant representation facilitates compact and high-speed... Read more

2. What advances have been made in robust numerical algorithms for FIR filter design targeting minimax optimality in polynomial approximation?

This theme covers enhanced algorithmic methodologies and implementations for FIR filter design that produce filters with optimal minimax (equiripple) error characteristics. It addresses challenges related to convergence, numerical stability, and initial reference selection in the classical Parks-McClellan and Remez exchange algorithms, improving robustness and scalability for high-order and weighted multi-band designs.

Key finding: The authors present a robust and scalable re-implementation of the Parks-McClellan algorithm, tackling practical difficulties such as the initialization of reference points on multi-interval weighted domains, and numerical... Read more
Key finding: This thesis develops numerical methods grounded on Chebyshev approximation theory to produce weighted polynomial approximations robustly, with guarantees on correctness despite finite precision arithmetic. It adapts... Read more
Key finding: Introducing a novel Directed Iterative Rank Refinement (DIRR) algorithm, this paper advances semidefinite programming based FIR filter design by promoting rank-1 solutions that satisfy both magnitude and phase constraints.... Read more

3. How have multi-channel and filter bank FIR design techniques been developed to balance perfect reconstruction and computational efficiency?

This research area studies filter banks employing FIR filters that approximate perfect or near-perfect reconstruction conditions while optimizing computational cost. The focus is on design strategies using frequency-response masking, polyphase structures, and tree-structured paraunitary filter banks, considering trade-offs between aliasing, magnitude distortion, and arithmetic complexity in multirate signal processing applications.

Key finding: This paper develops two-channel FIR filter banks using the frequency-response masking (FRM) technique, which decomposes sharp-transition filters into a combination of model and masking filters with complementary responses.... Read more
Key finding: The work presents a design of signal-adapted binary tree-structured FIR paraunitary filter banks, optimized using energy compaction criteria. It parameterizes the filter banks through Householder matrices and unitary vector... Read more
Key finding: This paper designs a two-channel FIR Quadrature Mirror Filter (QMF) bank for near-perfect reconstruction by optimizing the prototype filter using the Remez exchange algorithm. It addresses magnitude, stopband, passband, and... Read more
Key finding: The paper constructs a new family of perfect reconstruction (PR) quadrature mirror filter banks (QMF) derived from biorthogonal refinable functions and wavelets, with linear phase and odd-length FIR filters. These filters... Read more

All papers in FIR filters

We present a novel simple blind adaptive compensation method for in-phase/quadrature (IQ) imbalance in m-ary quadrature amplitude modulation (mQAM) coherent optical fiber communication systems. IQ-imbalance compensation is integrated... more
This paper presents efficient distributed arithmetic (DA)-based approaches for high-throughput reconfigurable implementation of finite impulse response (FIR) filters whose filter coefficients change during runtime. Conventionally, for... more
Design of a low power FIR filter has always been an area of intense research concern. Application of Coordinate Rotation digital computer (CORDIC) algorithm for designing a low power FIR filter is presented in this paper. CORDIC algorithm... more
The Distribution STATic COMpensator (DSTAT-COM) has proved to be a useful custom power device to eliminate harmonic components and to compensate reactive power for balanced /unbalanced linear/nonlinear loads. This paper presents a novel... more
savings in the range of 27-896 even after including the effects of these overheads.
Hybrid form FIR filters have been shown to provide a trade-off between the direct form and transposed direct form FIR filters resulting in a low power implementation. However, the use of multiple constant multiplication (MCM) techniques... more
This paper introduces a new approach based on blind source separation (BSS) to mit igate intentional interference in BFSK d igital co mmun ication systems using frequency hopping spread spectrum technique. The use of BSS is possible... more
In this paper we present a general approach for the design of LeGall’s 5/3 linear phase perfect reconstruction filterbank. Using our generalized approach, we can design the 5/3 filters with the coefficients having different finite... more
In this paper we present a general approach for the design of LeGall's 5/3 linear phase perfect reconstruction filterbank. Using our generalized approach, we can design the 5/3 filters with the coefficients having different finite... more
In this work, a double carry-save addition operation is proposed, which is efficiently synthesized for 6-input LUT-based field programmable gate arrays (FPGAs). The proposed arithmetic operation is based on redundant number representation... more
In Iterative Learning Control, the ideal learning filter is defined as the inverse of the system being learned. Model based learning filters designed from the inverse system transfer function can provide superior performance over single... more
A low-power, high-performance, compilerfriendly DSP core has been under development in the IBM Communications Research & Development Center, as part of its eLite DSP project. This DSP incorporates instruction-level parallelism through the... more
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