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Journal ArticleDOI

Fixed-point error analysis of fast Hartley transform

K.M.M. Prabhu, +1 more
- 01 Mar 1990 - 
- Vol. 19, Iss: 3, pp 191-198
TLDR
In this paper, a fixed-point error analysis has been carried out for the fast Hartley transform (FHT) and the results are compared with the FFT error-analysis results.
About
This article is published in Signal Processing.The article was published on 1990-03-01. It has received 11 citations till now. The article focuses on the topics: Hartley transform & Discrete Hartley transform.

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Citations
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Journal ArticleDOI

On the fixed-point-error analysis of several fast DCT algorithms

TL;DR: It is found that the fixed-point-error characteristics of the row-column approach for 2D DCTs is very similar to that of their 1D counterparts, which shows one of the algorithms is better than others in terms of average SNR performance.
Journal ArticleDOI

Comparative performance of fast cosine transform with fixed-point roundoff error analysis

TL;DR: Suitable scaling schemes are chosen for the Lee's and the Hou's fast DCT algorithms, and the relative fixed-point roundoff error analyses are carried out, and it is shown that in DCT and for N>16 stage-by-stage scaling of Hou's algorithm has the best performance, whereas in inverse DCT, the global scaling of either algorithms has thebest performance.
Journal ArticleDOI

On the fixed-point error analysis of several fast IDCT algorithms

TL;DR: In this article, a fixed-point error analysis for well-known fast l-D IDCT algorithms, such as Lee, Hou, and Vetterli, is presented.
Journal ArticleDOI

Fixed-point round-off error analysis for the discrete cosine transform

TL;DR: A relationship between the range of the twiddle factor and the dimension of the discrete cosine transform is first derived, whence a suitable scaling model is chosen for the DCT algorithm and the average output signal-to-noise ratio is calculated.
Journal ArticleDOI

Fast Hartley transform implementation on DSP chips

TL;DR: Efficient implementation of the FHT on different DSP processors is considered, instead of counting the required arithmetic operations, the necessary number of instruction cycles for an implementation of FHT is used as a measure.
References
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Journal ArticleDOI

Improved Fourier and Hartley transform algorithms: Application to cyclic convolution of real data

TL;DR: An algorithm for the in-place computation of the discrete Fourier transform on real data: a decimation-in-time split-radix algorithm, more compact than the previously published one and a new fast Hartley transform algorithm with a reduced number of operations.
Journal ArticleDOI

Fast Hartley transform algorithm

TL;DR: The discrete Hartley transform as mentioned in this paper is a new tool for the analysis, design and implementation of digital signal processing algorithms and systems, which is strictly symmetric concerning the transformation and its inverse.
Journal ArticleDOI

Split-radix fast Hartley transform

TL;DR: The split radix was used to develop a fast Hartley transform algorithm, it is performed ''in-place?, and requires the lowest number of arithmetic operations compared with other related algorithms'' as discussed by the authors.
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Structured fast Hartley transform algorithms

TL;DR: A decimation-in-frequency algorithm with a similar flowgraph is obtained that is identical to that of another FHT algorithm recently proposed.
Journal ArticleDOI

Some Results in Fixed-Point Fast Fourier Transform Error Analysis

TL;DR: The results show that the error performance of the decimation-in-frequency algorithm is better than that of decimation -in-time, and two kinds of schemes for preventing overflow are considered in the analysis.
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