Principles of fractional delay filters
Vesa Välimäki,Timo Laakso +1 more
- Vol. 6, pp 3870-3873
TLDR
An overview of design techniques and applications for digital fractional delay filters and their applications is given.Abstract:
In numerous applications, such as communications, audio and music technology, speech coding and synthesis, antenna and transducer arrays, and time delay estimation, not only the sampling frequency but the actual sampling instants are of crucial importance. Digital fractional delay (FD) filters provide a useful building block that can be used for fine-tuning the sampling instants, i.e., implement the required bandlimited interpolation. In this paper an overview of design techniques and applications is given.read more
Figures
Fig. 4. Frequency response error magnitude of linear interpolation, 9th-order Lagrange interpolation, first-order Thiran allpass filter, and 1st and 10th-order Thiran allpole filters for approximating a small delay (D = 0.5). 
Fig. 3. Frequency response error magnitude of five 5thorder allpass fractional delay filters (D = 4.5, ωp = 0.8π). 
Fig. 2. Frequency response error magnitude of five 10-tap FIR fractional delay filters (D = 4.5, ωp = 0.8π). 
Fig. 5. Farrow structure for time-varying FD filtering. 
Fig. 1. Continuous-time (solid line) and sampled (dots) impulse response of the ideal fractional delay filter, when the delay is (a) D = 3.0 samples and (b) D = 3.4 samples.
Citations
More filters
Journal ArticleDOI
Design of 1-D and 2-D variable fractional delay allpass filters using weighted least-squares method
TL;DR: In this article, a weighted least squares method is presented to design one-dimensional and two-dimensional variable fractional delay all-pass filters, where the nonlinear phase error is approximated by a weighted equation error such that the cost function can be converted into a quadratic form.
Proceedings ArticleDOI
FastForward: fast and constructive full duplex relays
Dinesh Bharadia,Sachin Katti +1 more
TL;DR: A novel full duplex relay that constructively forwards signals such that wireless network throughput and coverage is significantly enhanced and a constructive filtering algorithm that transforms the signal at the relay such that when it reaches the destination, it constructively combines with the direct signals from the source and provides a significant throughput gain.
Journal ArticleDOI
High-speed electrical backplane transmission using duobinary signaling
TL;DR: This work presents for the first time a very effective approach that uses the concept of duobinary signaling to accomplish high-speed electrical data transmission through low-cost backplanes using a finite-impulse-response filter.
Journal ArticleDOI
Noniterative WLS design of allpass variable fractional-delay digital filters
TL;DR: This paper develops a noniterative technique for finding the optimal polynomial coefficients, and shows that the allpass VFD filter design problem can be efficiently solved without using any iterative procedure while a closed-form solution can be easily obtained through solving a matrix equation.
Patent
Advanced processing based on a complex-exponential-modulated filterbank and adaptive time signalling methods
Jonas Engdegard,Lars Villemoes +1 more
TL;DR: In this paper, a synthesizer for generating a decorrelation signal using an input signal is operative on a plurality of subband signals, wherein a subband signal includes a sequence of at least two subband samples, the sequence of the subbands samples representing a bandwidth of the signal, which is smaller than the input signal.
References
More filters
Journal ArticleDOI
The Shannon sampling theorem—Its various extensions and applications: A tutorial review
TL;DR: In this paper, the authors present the various contributions made for the sampling theorems with the necessary mathematical details to make it self-contained, including sampling for functions of more than one variable, random processes, nonuniform sampling, nonband-limited functions, implicit sampling, sampling with the function and its derivatives as suggested by Shannon in his original paper, and sampling for general integral transforms.
Journal ArticleDOI
Splitting the unit delay [FIR/all pass filters design]
TL;DR: This work presents a comprehensive review of FIR and allpass filter design techniques for bandlimited approximation of a fractional digital delay, focusing on simple and efficient methods that are well suited for fast coefficient update or continuous control of the delay value.
Proceedings ArticleDOI
A continuously variable digital delay element
TL;DR: An FIR (finite-impulse-response) filter which synthesizes a controllable delay which has the ability to interpolate between samples in the data stream of a band-limited signal is described.