Sequency-ordered complex hadamard transforms and their applications to communications and signal processing

Aung, Aye

doi:10.32657/10356/18688

Cited by 1 publication

(5 citation statements)

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“…), the number of cycles is increased around the origin. For N-points data, 0 th and (N/2) th positions are arbitrary values (Aung et al, 2009). The other position values should be symmetric with respect to the suggested symmetry property.…”

Section: Perception and Representation Of Complex Input Signals In Se...mentioning

confidence: 99%

“…CHT is the generalized version of the Walsh Hadamard Transform due to its simplicity of use and ability to generate the transformation matrix (WHT). There are numerous CHT variations have been generated in Rahardja and Falkowski (1999) and Aung (2009). Before any CHT variants can replace the Discrete Fourier Transform (DFT) in signal processing applications, need to validate the designed features by applying various Aung et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

“…There are numerous CHT variations have been generated in Rahardja and Falkowski (1999) and Aung (2009). Before any CHT variants can replace the Discrete Fourier Transform (DFT) in signal processing applications, need to validate the designed features by applying various Aung et al, 2009). CHT matrix values lie on the unit circle (Aung et al, 2009;Aung, 2009).…”

Section: Introductionmentioning

confidence: 99%

“…Before any CHT variants can replace the Discrete Fourier Transform (DFT) in signal processing applications, need to validate the designed features by applying various Aung et al, 2009). CHT matrix values lie on the unit circle (Aung et al, 2009;Aung, 2009). Similar to the DFT in a frequency domain, it operates in the Sequency Domain (SD).…”

Section: Introductionmentioning

confidence: 99%

“…It has been proven through research that it has been used for spectrum estimations signal processing (Wu et al, 2012;Dur-e-Jabeen et al, 2017;Pei et al, 2014;Kyochi and Tanaka, 2014) and spectrum estimations (Aung et al, 2009). Fast Npoint CS-SCHT is less efficient than the N-point DFT technique in terms of computational cost (Aung et al, 2009;2008). This essay is divided into five pieces; section 2 discusses SD interpretation of phasor rotations.…”

Section: Introductionmentioning

confidence: 99%

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Implementation and analysis of symmetrical signals in the sequency domain

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Every transform has unique attributes and traits that are crucial to reducing computing costs and offering simple solutions. Many different frequency domain transformations, for instance, have properties that can be used in a variety of signal processing applications and analyses. Some of the Complex Hadamard Transform's variants' sequencies can be compared to those of the Discrete Fourier Transforms. It is proven the characteristics of the Conjugate Symmetric Sequency-Ordered Complex Hadamard Transform symmetry. These qualities are crucial for signal analysis and image processing. Due to duplicate spectra across the origin, it reduces computational complexity, makes an analytical analysis for symmetric signals simpler, and needs less storage. Its analysis shows that the Discrete Fourier Transform and this Complex Hadamard Transform version exhibit similar symmetry tendencies. By using elementary signals in the time domain to connect the positive and negative sequencies with their associated phasor conceptions, sequency domain spectra are used to highlight these properties. As a result of image representation, relative spectra are represented in related domains. Transform can be used to extract and analyze various aspects from a wide range of medical images.

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Section: Perception and Representation Of Complex Input Signals In Se...mentioning

confidence: 99%