Complex Hilbert Transform Filter

Olkkonen, Juuso; Olkkonen, H.

doi:10.4236/jsip.2011.22015

Cited by 5 publications

(4 citation statements)

References 21 publications

(32 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…. Equation (8) forms the basis for the SVD-based initialization method. By searching very small singular value…”

Section: Formentioning

confidence: 99%

See 1 more Smart Citation

Adaptive Matrix/Vector Gradient Algorithm for Design of IIR Filters and ARMA Models

Olkkonen¹,

Ahtiainen²,

Järvinen³

et al. 2013

JSIP

Self Cite

View full text Add to dashboard Cite

This work describes a novel adaptive matrix/vector gradient (AMVG) algorithm for design of IIR filters and ARMA signal models. The AMVG algorithm can track to IIR filters and ARMA systems having poles also outside the unit circle. The time reversed filtering procedure was used to treat the unstable conditions. The SVD-based null space solution was used for the initialization of the AMVG algorithm. We demonstrate the feasibility of the method by designing a digital phase shifter, which adapts to complex frequency carriers in the presence of noise. We implement the half-sample delay filter and describe the envelope detector based on the Hilbert transform filter.

show abstract

“…. Equation (8) forms the basis for the SVD-based initialization method. By searching very small singular value…”

Section: Formentioning

confidence: 99%

“…The interpolation error was between -1.2 percent. In our recent work [8] we discovered a novel way to construct Hilbert transform filter as 0.25…”

Section: Design Example: Envelope Detectormentioning

confidence: 99%

Adaptive Matrix/Vector Gradient Algorithm for Design of IIR Filters and ARMA Models

Olkkonen¹,

Ahtiainen²,

Järvinen³

et al. 2013

JSIP

Self Cite

View full text Add to dashboard Cite

show abstract

“…One can also find the factorization of the transfer function of the infinite impulse response (IIR) Simpson integrator for designing fractional delay filters in [ 17 ]. On the other hand, authors in [ 18 ] presented the introduction of the Hilbert transform operator, which was developed using a half-sample delay operator created through the B-spline transform interpolation and decimation. However, there is a lack of computationally efficient algorithms in the literature, despite the fact that the methods for designing Thiran fractional delay filters have been established.…”

Section: Introductionmentioning

confidence: 99%

Thiran Filters for Wideband DSP-Based Multi-Beam True Time Delay RF Sensing Applications

Perera,

Rathnasekara,

Madanayake

2024

Sensors

View full text Add to dashboard Cite

The ability to sense propagating electromagnetic plane waves based on their directions of arrival (DOAs) is fundamental to a range of radio frequency (RF) sensing, communications, and imaging applications. This paper introduces an algorithm for the wideband true time delay digital delay Vandermonde matrix (DVM), utilizing Thiran fractional delays that are useful for realizing RF sensors having multiple look DOA support. The digital DVM algorithm leverages sparse matrix factorization to yield multiple simultaneous RF beams for low-complexity sensing applications. Consequently, the proposed algorithm offers a reduction in circuit complexity for multi-beam digital wideband beamforming systems employing Thiran fractional delays. Unlike finite impulse response filter-based approaches which are wideband but of a high filter order, the Thiran filters trade usable bandwidth in favor of low-complexity circuits. The phase and group delay responses of Thiran filters with delays of a fractional sampling period will be demonstrated. Thiran filters show favorable results for sample delay blocks with a temporal oversampling factor of three. Thiran fractional delays of orders three and four are mapped to Xilinx FPGA RF-SoC technologies for evaluation. The preliminary results of the APF-based Thiran fractional delays on FPGA can potentially be used to realize DVM factorizations using application-specific integrated circuit (ASIC) technology.

show abstract

“…Reference [8] gives more application examples of HT. About the design method of HT, we can find some methods [9][10][11][12][13], but window method is one of the most frequently used methods [2][3][4]. The reason is that window method is the simplest one of them and several windows have good performances.…”

Section: Introductionmentioning

confidence: 99%

An Application of Sinc Sum Function in Hilbert Transformer

Wang¹

2013

ENG

View full text Add to dashboard Cite

An application of the sinc sum function in Hilbert transformer (HT) is studied. The expression of the frequency re- sponse of HT is expressed with sinc sum functions. Some properties of sub-amplitude response of HT are proved by using the properties of the sinc sum function. A general HT formula is obtained theoretically and it contains a general window function. As an example three new window functions are obtained. Different from the existing window func- tions obtained from lowpass filters, these window functions are obtained directly from HT. Comparisons show that new windows are better than the Hanning, Hamming, Blackman and Kaiser windows in terms of HT performances.

show abstract

Complex Hilbert Transform Filter

Cited by 5 publications

References 21 publications

Adaptive Matrix/Vector Gradient Algorithm for Design of IIR Filters and ARMA Models

Adaptive Matrix/Vector Gradient Algorithm for Design of IIR Filters and ARMA Models

Thiran Filters for Wideband DSP-Based Multi-Beam True Time Delay RF Sensing Applications

An Application of Sinc Sum Function in Hilbert Transformer

Contact Info

Product

Resources

About