FRM-Based FIR Filters With Optimum Finite Word-Length Performance

Design of finite-word-length FIR filters with least-squares error

This paper proposes a new algorithm for designing "nite word length linear-phase FIR "lters. The new algorithm produces "nite-precision least-squares error (LSE) solutions with much reduced search time than the brute-force full search algorithm. It is di!erent from the full search algorithm that tries all possible combinations directly. The new algorithm utilizes geometric properties of a hyper...

Design of Finite Word Length Linear-Phase FIR Filters in the Logarithmic Number System Domain

Logarithmic number system (LNS) is an attractive alternative to realize finite-length impulse response filters because of multiplication in the linear domain being only addition in the logarithmic domain. In the literature, linear coefficients are directly replaced by the logarithmic equivalent. In this paper, an approach to directly optimize the finite word length coefficients in the LNS domai...

Design of optimum high-order finite-wordlength digital FIR filters with linear phase

A novel iterative quantization procedure for the design of finite wordlength linear phase FIR filters of high order and minimum frequency domain error is proposed: a one by one increased number of filter coefficients is quantized where the augmented frequency domain error is re-minimized in each case. This new approach achieves a smaller frequency domain error than rounding of the optimal non-q...

Finite Impulse Response ( FIR ) Filters

Finite word-length effects of pipelined recursive digital filters

Scattered look-ahead (SLA) pipelining is a new IIR filter structure that can achieve very high throughput, regardless of multiplier latency. However, the numerical properties of SLA have been largely unexplored. In this paper we analyze the finite word-length (FWL) performance of SLA filters under fixed-point arithmetic. To support this analysis, two new state variable descriptions (SVD) are in...