A Family of Square-Root Nyquist Filter With Low Group Delay and High Stopband Attenuation

Traverso, Sylvain

doi:10.1109/lcomm.2016.2556679

Cited by 9 publications

(4 citation statements)

References 10 publications

(26 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the past, the design of Nyquist(M ) filters have been studied extensively [3]- [6], [7], [8]. Many of these methods can be extended to the case of depth-L Nyquist(M ) filters.…”

Section: Design Methods For Depth-l Nyquist(m) Filters and Biorthomentioning

confidence: 99%

“…Nyquist(M ) filters have found many applications in perfect reconstruction filter banks, nonuniform sampling, interpolation, communications and so on. Various design methods for Nyquist(M ) filters have been proposed in [3]- [6], [7], [8]. The theory of biorthogonal partners was first developed in [9] for the single-input-single-output (SISO) case.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Depth-L Nyquist (M) Filters and Biorthogonal Partners

2020

View full text Add to dashboard Cite

In the past, Nyquist filters have been studied by many researchers. A pair of filters are said to be biorthogonal partners of each other if their cascade forms a Nyquist filter. The theory and design of traditional biorthogonal partners have been studied extensively. In this paper, we extend these results to depth-L Nyquist filters and biorthogonal partners. Two potential applications of them are discussed in fractionally spaced equalizer (FSE) and filter bank multicarrier (FBMC) systems. Moreover, the necessary and sufficient condition is derived for the existence of an finite impulse response (FIR) depth-L biorthogonal partner. We find out that the existence depends on the cardinality of the largest so-called congruous-zero set. In addition, we will show how to design these filters by using the eigenfilter method. Finally, performance comparisons are carried out to demonstrate the advantage of depth-L biorthogonal partners. It is shown that the depth-L version is more robust against inter-symbol interference (ISI) and timing synchronization error compared to the traditional biorthogonal partner.

show abstract

“…In the past, the design of Nyquist(M ) filters have been studied extensively [3]- [6], [7], [8]. Many of these methods can be extended to the case of depth-L Nyquist(M ) filters.…”

Section: Design Methods For Depth-l Nyquist(m) Filters and Biorthomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Depth-L Nyquist (M) Filters and Biorthogonal Partners

2020

View full text Add to dashboard Cite

show abstract

“…The performance of digital communication systems employing improved Nyquist pulses has further been addressed in several past research works, including [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37] Further insights on the performance of several state-of-the-art pulses are available in [27]. In [28], a method of improving the error probability performance of various Nyquist pulses, by multiplying them with a specific compactly supported function, has been proposed.…”

Section: Introductionmentioning

confidence: 99%

“…In [31], an approach using auxiliary factor has been proposed to remove ISI of Nyquist filters. In [32], a frequency domain design methodology for square-root Nyquist filters with low group delay and high and fast decaying stopband attenuation has been presented. In [33], the impact of improved Nyquist pulse shaping filters on the symbol error rate performance of generalized frequency division modulation (GFDM) systems has been addressed.…”

Section: Introductionmentioning

confidence: 99%