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FIR filter

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A Finite Impulse Response (FIR) filter is a type of digital filter characterized by a finite duration impulse response. It processes input signals by convolving them with a set of fixed coefficients, allowing for precise control over frequency response and stability, making it widely used in signal processing applications.
lightbulbAbout this topic
A Finite Impulse Response (FIR) filter is a type of digital filter characterized by a finite duration impulse response. It processes input signals by convolving them with a set of fixed coefficients, allowing for precise control over frequency response and stability, making it widely used in signal processing applications.

Key research themes

1. How can hardware-efficient designs minimize arithmetic complexity in FIR filter implementations?

This research area focuses on reducing the computational cost and hardware resource requirements of FIR filters, particularly targeting adders and multipliers in digital signal processing implementations. Efficient FIR filter designs are crucial for low-power, high-speed DSP applications, especially in resource-constrained embedded systems.

Key finding: Introduced the frequency-response masking (FRM) technique to design two-channel FIR filter banks that significantly reduce the number of adders and multipliers needed compared to conventional implementations, especially for... Read more
Key finding: Developed integer linear programming (ILP) methods for simultaneous FIR filter design and multiplierless hardware implementation that optimize the number of adders to meet given frequency specifications. Demonstrated that... Read more
Key finding: Proposed a floating point fixed-width multiplier utilizing a column bypassing technique which reduces switching activities in partial product operands. This design lowers power consumption by 10% compared to conventional... Read more
Key finding: Introduced a reduced precision redundancy (RPR) unit integrated with fixed-width multipliers to compensate truncation errors caused by partial product elimination. This design achieves a trade-off by reducing power... Read more
Key finding: Designed and implemented a low-power FIR filter replacing traditional multipliers with an 8-bit multiplier-accumulator (MAC) unit using a Wallace tree multiplier to reduce partial products and latch-based D flip-flops for... Read more

2. What advances in window-based FIR filter design improve spectral characteristics for signal processing applications?

This research concentrates on enhancing the spectral performance of FIR filters through novel window functions or hybrid windows. Improvements target better main lobe width, side lobe attenuation, ripple ratios, and overall frequency response fidelity, which are critical in applications like audio processing, ECG denoising, and communications.

Key finding: Proposed 20 hybrid window functions by combining the two-parameter Cosh window with various one-parameter existing windows. Simulation results in FIR filter design showed nine hybrid windows improving key filter... Read more
Key finding: Developed a new dynamic two-variable window function combining Hamming, Blackman-Harris, Chebwin, and Kaiser windows to provide adjustable spectral characteristics. MATLAB simulations demonstrated improved ripple ratio, main... Read more
Key finding: Evaluated various window functions (Blackman, Hamming, Hanning) for FIR filter design applied in M-ary PSK communication systems. Empirical results showed the Blackman window produced FIR filters with superior bit error rate... Read more
Key finding: Applied multiple FIR filter windows including Kaiser, Chebyshev, and Hamming for ECG signal noise reduction, comparing spectral removal efficiency. The study confirmed that window choice significantly impacts filtering... Read more
Key finding: Systematically analyzed 49 combinations of band stop and high pass FIR filters using seven different window functions to remove baseline wander and power line interference in ECG signals. Identified the best performing window... Read more

3. How do FIR filter designs enable effective sample rate conversion and flexible system identification in DSP?

This theme addresses FIR filter usage in critical signal processing operations such as sample rate conversion (SRC) and system identification. FIR filters' linear phase properties and stability make them favorable for these tasks, and advances include varied architectures (polyphase, Farrow, CIC), optimization techniques, and adaptive algorithms for estimating unknown systems.

Key finding: Provided a unified tutorial and classification of FIR-based SRC techniques, including classical upsampling/filtering/downsampling, polyphase, Farrow, CIC, and Newton filter structures. The survey highlighted implementation... Read more
Key finding: Demonstrated the use of adaptive FIR filters with the Least Mean Square (LMS) algorithm implemented on an ATMEGA16 processor for system identification. By iteratively adjusting filter weights to minimize error between... Read more
Key finding: Presented practical MATLAB experiments demonstrating FIR filtering including convolution, step response analysis, and signal filtering by both sample-by-sample and block processing methods. The exercises illustrated... Read more

All papers in FIR filter

Approximate computation works with error tolerance in the numerical phase as a modern model for nanoscale technology, to boost efficiency and decrease power consumption. Majority logic (ML) applies to several evolving nanotechnology; its... more
In the last decade, efficient algorithms have been proposed for the multiplication of one data sample with multiple constants using addition/subtraction and shift operations, i.e., the multiple constant multiplications (MCM) problem.... more
In this work, we analyze the effect of representing constants under binary, CSD, and MSD representations on the minimum number of operations required in a multiple constant multiplications problem. To this end, we resort to a recently... more
In the paper, we propose a new metric for the minimization of area in the generic problem of multiple constant multiplications, and demonstrate its effectiveness for digital FIR filters. Previous methods use the number of required... more
Although much research has been done on efficient high-speed filter architectures, much of this work has focused on filters with fixed coefficients, such as Canonical Signed Digit coefficient filter architectures, multiplierless designs,... more
We describe a digital image processing method to measure translation error between color records, that can be computed from the acquired image. Several steps in the ISO 12233 standard for measurement of resolution for digital cameras are... more
Many communications embedded systems implement decimation filters. In particular, base-band stage in multistandard receivers is composed of cascade of decimation filters performing channel selection. The number of used filter and the kind... more
Based on the Residue Number System (RNS), Finite Impulse Response filters have gained prominence in digital signal processing due to their efficiency in handling complex computations. This work presents a comprehensive analysis on... more
In this paper, we investigate the design of pulse shaping FIR filters for impulse radio ultrawideband (UWB) communications systems. The goal of the shaping is to meet an arbitrary spectrum mask, e.g., the mask mandated by the FCC for UWB... more
Ultra low-power full-adder for biomedical applications
Fractional Fourier transform (FRFT) is a linear transform generalizing Fourier transform (FT) that plays an important role in the field of signal processing and analysis. FRFT contains an adjustable parameter α, which it rotates the... more
This work presents a method to design parallel digital finite impulse response (FIR) filters for hardwired (fixed coefficients) implementation with reduced number of adders and logic depth in the multiplier block. The proposed method uses... more
In this paper, we introduce a design methodology to implement low-complexity and high-speed digital Finite Impulse Response (FIR) filters. Since FIR filters suffer from a large number of constant multiplications, in the proposed method... more
In this paper, an optimal design of linear phase digital high pass FIR filter using Craziness based Particle Swarm Optimization (CRPSO) approach has been presented. FIR filter design is a multi-modal optimization problem. The conventional... more
This paper presents a direct method of reducing convolution processing time using hardware computing and implementations of discrete linear convolution of two finite length sequences (NXN). This implementation method is realized by... more
The rate of interictal high frequency oscillations (HFOs) is a promising biomarker of the seizure onset zone, though little is known about its consistency over hours to days. Here we test whether the highest HFO-rate channels are... more
This paper presents a feasibility study on how to implement power quality (PQ) metrics in a low-cost smart metering platform. The study is aimed at verifying the possibility of implementing PQ monitoring in distribution networks without... more
In this work, we revisited the priority-first sequential-search decoding algorithm proposed in [5]. By adopting a new metric other than the conventional Fano one, the sequential-search decoding in [5] guarantees the maximum- likelihood... more
This work presents a novel technique t o analyze the computational efforts of an orderingfree variant of the generalized Dijkstras's algorithm (GDA) and the maximum-likelihood sequential decoding algorithm (MLSDA) based on the... more
We focus on architectures for streaming DSP applications such as wireless baseband processing and image processing. We aim at a single generic architecture that is capable of dealing with different DSP applications. This architecture has... more
Conventional broadband beamforming structures make use of finite-impulse-response (FIR) filters in each channel. Large numbers of coefficients are required to retain the desired signal-to-interference-plus-noise-ratio (SINR) performance... more
This brief addresses the problem of implementing very large constant multiplications by a single variable under the shift-adds architecture using a minimum number of adders/subtractors. Due to the intrinsic complexity of the problem, we... more
The multiple constant mUltiplications (MCM) op eration, which realizes the multiplication of a set of constants by a variable, has a significant impact on the complexity and performance of the digital finite impulse response (FIR)... more
This article addresses the multiplication of one data sample with multiple constants using addition/subtraction and shift operations, i.e., the multiple constant multiplications (MCM) operation. In the last two decades, many efficient... more
This paper addresses the multiplication of one data sample with multiple constants using addition/subtraction and shift operations, i.e., the multiple constant multiplications (MCM) problem. The MCM problem finds itself and its variants... more
In this paper, we introduce a design methodology to implement low-complexity and high-speed digital Finite Impulse Response (FIR) filters. Since FIR filters suffer from a large number of constant multiplications, in the proposed method... more
by Levent Aksoy and 
1 more
In this paper, we propose an exact algorithm for the problem of area optimization under a delay constraint in the synthesis of multiplierless FIR filters. To the best of our knowledge, the method presented in this paper is the only exact... more
Finite impulse response (FIR) filtering is a ubiquitous operation in digital signal processing systems and is generally implemented in full custom circuits due to high-speed and low-power design requirements. The complexity of an FIR... more
The recent trends envisage multi-standard architectures as a promising solution for the future wireless transceivers. The computationally intensive decimation filter plays an important role in channel selection for multi-mode systems. An... more
Interpolated and warped digital waveguide mesh algorithms have been developed to overcome the problem caused by direction and frequency-dependence of wave travel speed in digital waveguide mesh simulations. This paper reviews the... more
The filters are used to allow a specific band of frequencies. In a wireless communication, the filter is used to select the frequency of operation with a narrow or broad band. As the generations increase the amount of data handled... more
Recent work has shown that higher-order single-bit sigma-delta modulators suffer from low-level artifacts such as idle tones and noise modulation. Techniques that have been proposed to reduce or eliminate these errors include the... more
We have adopted the original Hérault-Jutten model for the segregation of two concurrent voices in realistic conditions. Firstly, with the new Daimler-Chrysler in-car database, we confirm our previous results obtained with a similar model,... more
In this paper the Asymmetric Digital Subscriber Line (ADSL) analog front end (AFE) designs are described and compared. AFE is the part of ADSL modems most responsible for quality signal transmission over phone wires. It can be divided... more
This paper presents an efficient method for the design of M -channel oversampled warped cosine-modulated filter banks. The method consists in filter prototype design for synthesis filter bank using optimization procedure, which minimizes... more
A complete read channel device using PR-IV signalling and maximum likelihood detection is described. Descriptions, simulated performance and measured results of the digital adaptive feedback loops (AGC, FIR tap weights, DFE tap weights,... more
This study presents development and implementation of a power-efficient architecture of a 32-bit MAC Unit built with Verilog HDL for FPGA applications. This architecture also connects a Vedic multiplier to boost multiplication, along with... more
In dieser Arbeit wird die Umsetzung eines multitaskingfahigen Betriebssystems fur FPGA-Prozessoren vorgestellt. Mit diesem Betriebssystem ist es moglich, die Resource FPGA-Prozessor durch mehrere unabhangige Anwendungen gleichzeitig zu... more
the non-exclusive right to publish the Work electronically and in a non-commercial purpose make it accessible on the Internet. The Author warrants that he/she is the author to the Work, and warrants that the Work does not contain text,... more
We present a fully reconfigurable optical filter built by cascading four identical unit cells. The devices are fabricated using two distinct methods: a complementary metal-oxide-semiconductor (CMOS) compatible process utilizes deep... more
A nonrecursive structure of 1-D and 2-D FIR lowpass and highpass digital filters is described in the paper. The magnitude sensitivity is small and zero sensitivity can be obtained at particular frequencies in the passbands. The structure... more
Addition is one of the most crucial operation in microprocessors which must be performed within a predefined deadline (critical path). Variation is a phenomenon which negatively affects the performance of this operation. This paper... more
This paper demonstrates the application of an evolutionary heuristic search technique called Novel Particle Swarm Optimization (NPSO) for the optimal design of 6th and 8th order low pass and band pass Infinite Impulse Response (IIR)... more
We present LIFTPACK: A software package written in C for fast calculation of 2D biorthogonal wavelet transforms using the lifting scheme. The lifting scheme is a new approach for the construction of biorthogonal wavelets entirely in the... more
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