Open AccessJournal Article
Signed Power-of-Two Term Allocation Scheme for the Design of Digital Filters
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TLDR
A new method for allocating the number of SPT terms to each coefficient value is presented, determined by the statistical quantization step-size of that coefficient and the sensitivity of the frequency response of the filter to that coefficient.Abstract:
It is well known that if each coefficient value of a digital filter is a sum of signed power-of-two (SPT) terms, the filter can be implemented without using multipliers. In the past decade, several methods have been developed for the design of filters whose coefficient values are sums of SPT terms. Most of these methods are for the design of filters where all the coefficient values have the same number of SPT terms. It has also been demonstrated recently that significant advantage can be achieved if the coefficient values are allocated with different number of SPT terms while keeping the total number of SPT terms for the filter fixed. In this paper, we present a new method for allocating the number of SPT terms to each coefficient value. In our method, the number of SPT terms allocated to a coefficient is determined by the statistical quantization step-size of that coefficient and the sensitivity of the frequency response of the filter to that coefficient. After the assignment of the SPT terms, an integer-programming algorithm is used to optimize the coefficient values. Our technique yields excellent results but does not guarantee optimum assignment of SPT terms. Nevertheless, for any particular assignment of SPT terms, the result obtained is optimum with respect to that assignment.read more
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References
More filters
Book
Theory and application of digital signal processing
TL;DR: Feyman and Wing as discussed by the authors introduced the simplicity of the invariant imbedding method to tackle various problems of interest to engineers, physicists, applied mathematicians, and numerical analysts.
Journal ArticleDOI
FIR filter design over a discrete powers-of-two coefficient space
TL;DR: In this article, a digital filter with discrete coefficient values selected from the powers-of-two coefficient space is designed using the methods of integer programming, and the frequency responses obtained are shown to be superior to those obtained by simply rounding the coefficients.
Journal ArticleDOI
A simple design of FIR filters with powers-of-two coefficients
Qiangfu Zhao,Yoshiaki Tadokoro +1 more
TL;DR: In this article, a design algorithm for finite-impulse response (FIR) filters with powers-of-two coefficients (2PFIR filters) is presented, which enables the design of 2PFIR filter with sharp cutoff.
Journal ArticleDOI
An Efficient Mixed-Signal 2.4-GHz Polar Power Amplifier in 65-nm CMOS Technology
TL;DR: A 65-nm digitally modulated polar transmitter incorporates a fully integrated, efficient 2.4-GHz switching Inverse Class-D power amplifier and simple static predistortion helps the transmitter meet EVM and mask requirements of 802.11g 54-Mb/s WLAN data.
Journal ArticleDOI
FIR filters with sigma-delta modulation encoding
P.W. Wong,Robert M. Gray +1 more
TL;DR: Two methods are presented for building FIR (finite impulse response) digital filters where either the impulse response or the input signal is encoded using sigma-delta modulation.
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